Academic literature on the topic 'Method of characteristics (MOC)'

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Journal articles on the topic "Method of characteristics (MOC)"

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Moghanloo, R. Ghanbarnezhad, and F. Javadpour. "Applying Method of Characteristics to Determine Pressure Distribution in 1D Shale-Gas Samples." SPE Journal 19, no. 03 (December 31, 2013): 361–72. http://dx.doi.org/10.2118/168218-pa.

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Summary This paper examines application of the method of characteristics (MOC) to determine pressure distribution in a 1D matrix of shale gas. Because of gas expansion and local desorption in shale gas, pressure distribution changes during production. We developed a semianalytic MOC solution of gas flow in shale by use of the analogous-continuum approximation (apparent permeability). The MOC solution is derived with the inclusion of compressibility, gas-slippage effect, and desorption. Through quantitative comparison of pressure profiles and history plots, we used a simulation approach to verify the accuracy of the analytic solution. Results suggest that the simulation results are consistent with our MOC solution, which can also be used to evaluate impacts of different parameters on pressure distribution. Prediction of pressure distribution over time will greatly enhance approximation of reservoir performance.
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Nie, Yafei, Kai Fu, and Xianqing Lv. "CIP Method of Characteristics for the Solution of Tide Wave Equations." Advances in Mathematical Physics 2018 (July 2, 2018): 1–10. http://dx.doi.org/10.1155/2018/3469534.

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The CIP-MOC (Constrained Interpolation Profile/Method of Characteristics) is proposed to solve the tide wave equations with large time step size. The bottom topography and bottom friction, which are very important factor for the tidal wave model, are included to the equation of Riemann invariants as the source term. Numerical experiments demonstrate the good performance of the scheme. Compared to traditional semi-implicit (SI) finite difference scheme which is widely used in tidal wave simulation, CIP-MOC has better stability in simulating large gradient water surface change and has the ability to use much longer time step size under the premise of maintaining accuracy. Besides, numerical tests with reflective boundary conditions are carried out by CIP-MOC with large time step size and good results are obtained.
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Jayamani, Ananthkumar, and Frank K. Lu. "Method-of-characteristics model for a low-enthalpy, detonation-driven shock tube." Physics of Fluids 34, no. 6 (June 2022): 066109. http://dx.doi.org/10.1063/5.0093888.

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A reduced-order model for a detonation-driven shock tube was developed using the method of characteristics (MoC). The scope of this work was limited to calorically perfect slugs of gases. Effects of momentum and heat losses were included. The governing equations for inviscid, one-dimensional flow of a calorically perfect gas were simplified using MoC. These simplified equations represented and resolved various gasdynamic phenomena such as weak compressions, rarefactions, shocks, and contact surfaces. The momentum losses in the governing equations were estimated using established friction factors. Various empirical methods were explored to determine an appropriate heat-transfer model. Based on the expected ideal wave processes in a detonation-driven shock tube, MoC subroutines were assembled into a global algorithm representing detonation tube operation. To validate the results from the reduced-order model, experiments were carried out in a small-scale detonation tube. The experiments used nitrogen as the high-pressure driver gas, stoichiometric oxyhydrogen as the detonation driver gas, and nitrogen or helium as the driven gas. Comparison with experiments showed that the detonation tube model reasonably replicated detonation tube operation for all the experimental cases. Specifically, the decaying incident shock trajectory in the driven section was replicated well, and so was the peak pressure at the driven end wall. The quasisteady plateau pressure in the detonation driver was replicated reasonably, with experimental pressure traces showing earlier decay than MoC pressure traces. The wave system produced by the reflected shock wave–contact surface interaction in the driven section was also predicted accurately by the MoC model.
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Wu, Wenbin, Yingrui Yu, Qi Luo, Dong Yao, Qing Li, and Xiaoming Chai. "Matrix MOC: The method of characteristics in matrix form." Progress in Nuclear Energy 125 (July 2020): 103378. http://dx.doi.org/10.1016/j.pnucene.2020.103378.

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Ahmadi, Kaveh, Russell T. Johns, Kristian Mogensen, and Rashed Noman. "Limitations of Current Method-of-Characteristics (MOC) Methods Using Shock-Jump Approximations To Predict MMPs for Complex Gas/Oil Displacements." SPE Journal 16, no. 04 (October 25, 2011): 743–50. http://dx.doi.org/10.2118/129709-pa.

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Summary An accurate minimum miscibility pressure (MMP) is one of the key factors in miscible-gasflood design. There is a variety of experimental and analytical methods to determine the MMP, but the most-reliable methods are slimtube experiments, 1D slimtube simulations, mixing-cell models, and the fast key-tie-line approach using the method of characteristics (MOC). Direct comparisons of all these methods generally agree well, but there are cases in which they do not. No explanation has yet been given for these anomalies, although the MMP is critically important to recovery. The focus of this paper is to explain when current MOC results assuming that shocks exist from one key tie line to the next may not be reliable, and how to identify when this is the case. We demonstrate, using fluid characterizations from Middle East oils, that the MMPs using this MOC method can be more than 6,500 psia greater than those calculated using a recently developed mixing-cell method. The observed differences in the MMP increase substantially as the API gravity of the oil decreases, likely the result of the onset of L1-L2-V behavior. We show that the key tie lines determined using this MOC method do not control miscibility for such cases. We explain the reasons for these differences using simplified pseudoternary models and show how to determine when an error exists. We also offer a way to correct the MMP predictions using the MOC for these complex gas/oil displacements without solving for the complete compositional path.
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Namdar Zanganeh, M., S. I. I. Kam, T. C. C. LaForce, and W. R. R. Rossen. "The Method of Characteristics Applied to Oil Displacement by Foam." SPE Journal 16, no. 01 (August 19, 2010): 8–23. http://dx.doi.org/10.2118/121580-pa.

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Summary Solutions obtained by the method of characteristics (MOC) provide key insights into complex foam enhanced-oil-recovery (EOR) displacements and the simulators that represent them. Most applications of the MOC to foam have excluded oil. We extend the MOC to foam flow with oil, where foam is weakened or destroyed by oil saturations above a critical oil saturation and/or weakened or destroyed at low water saturations, as seen in experiments and represented in foam simulators. Simulators account for the effects of oil and capillary pressure on foam using algorithms that bring foam strength to zero as a function of oil or water saturation, respectively. Different simulators use different algorithms to accomplish this. We examine SAG (surfactant-alternating-gas) and continuous foam-flood (coinjection of gas and surfactant solution) processes in one dimension, using both the MOC and numerical simulation. We find that the way simulators express the negative effect of oil or water saturation on foam can have a large effect on the calculated nature of the displacement. For instance, for gas injection in a SAG process, if foam collapses at the injection point because of infinite capillary pressure, foam has almost no effect on the displacement in the cases examined here. On the other hand, if foam maintains finite strength at the injection point in the gas-injection cycle of a SAG process, displacement leads to implied success in several cases. However, successful mobility control is always possible with continuous foam flood if the initial oil saturation in the reservoir is below the critical oil saturation above which foam collapses. The resulting displacements can be complex. One may observe, for instance, foam propagation predicted at residual water saturation, with zero flow of water. In other cases, the displacement jumps in a shock past the entire range of conditions in which foam forms. We examine the sensitivity of the displacement to initial oil and water saturations in the reservoir, the foam quality, the functional forms used to express foam sensitivity to oil and water saturations, and linear and nonlinear relative permeability models.
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Li, Jin, Yunlin Xu, Dean Wang, Qicang Shen, Brendan Kochunas, and Thomas Downar. "DEMONSTRATION OF A LINEAR PROLONGATION CMFD METHOD ON MOC." EPJ Web of Conferences 247 (2021): 03006. http://dx.doi.org/10.1051/epjconf/202124703006.

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Coarse Mesh Finite Difference (CMFD) method is a very effective method to accelerate the iterations for neutron transport calculation. But it can degrade and even fail when the optical thickness of the mesh becomes large. Therefore several methods, including partial current-based CMFD (pCMFD) and optimally diffusive CMFD (odCMFD), have been proposed to stabilize the conventional CMFD method. Recently, a category of “higherorder” prolongation CMFD (hpCMFD) methods was proposed to use both the local and neighboring coarse mesh fluxes to update the fine cell flux, which can solve the fine cell scalar flux discontinuity problem between the fine cells at the bounary of the coarse mesh. One of the hpCMFD methods, refered as lpCMFD, was proposed to use a linear prolongation to update the fine cell scalar fluxes. Method of Characteristics (MOC) is a very popular method to solve neutron transport equations. In this paper, lpCMFD is applied on the MOC code MPACT for a variety of fine meshes. A track-based centroids calculation method is introduced to find the centroids coordinates for random shapes of fine cells. And the numerical results of a 2D C5G7 problem are provided to demonstrate the stability and efficiency of lpCMFD method on MOC. It shows that lpCMFD can stabilize the CMFD iterations in MOC method effectively and lpCMFD method performs better than odCMFD on reducing the outer MOC iterations.
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Asli, Kaveh Hariri, Faig Bakhman Ogli Naghiyev, Soltan Ali Ogli Aliyev, and Hoosein Hariri Asli. "Modeling of Fluid Interaction Produced by Water Hammer." International Journal of Chemoinformatics and Chemical Engineering 1, no. 1 (January 2011): 29–41. http://dx.doi.org/10.4018/ijcce.2011010103.

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This paper compares the computational performance of two numerical methods for two models of Transient Flow. One model was defined by method of the Eulerian based expressed in a method of characteristics “MOC”, finite difference form. The other model was defined by method of Regression. Each method was encoded into an existing hydraulic simulation model. Results indicated that the accuracy of the methods was comparable but that the “MOC” was more computationally efficient for analysis of large water transmission line. Practical investigations in this article have shown mainly this tendency.
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Su, Lijuan, and Pei Cheng. "A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/648595.

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Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The stability, consistency, convergence, and error estimate of the method are obtained. An example is also given to illustrate the applicability of theoretical results.
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Wu, Juan, Hui Xian Zhang, Zi Ming Kou, and Chun Yue Lu. "Numerical Simulation on Dynamic Analysis for Pipe Vibration Control Based on an Actively Generated Hydraulic Excitation Force." Advanced Materials Research 490-495 (March 2012): 2328–32. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.2328.

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In order to study dynamic characteristics of fluid filled pipe under hydraulic excitation force generated actively by a new developed vibration exciter, at first mathematical model of pulsating fluid was established and a computer code based on the method of characteristics (MOC) was developed. Then the excitation force calculated by MOC was forced upon the corresponding nodes of finite element of pipe, meanwhile, the nodes of fluid by MOC were assured to coincide with that of the pipe by the method of finite element (FEM). Finally, using Newmark’s method, the dynamic response at every cross section of pipe was solved. The numerical simulations show that a simple harmonic motion arises at every cross section of the pipe. The lateral vibration amplitude of every node along the pipe increases as the rising system pressure. So, this work is expected to provide some theoretical and exploratory basis for studying two dimensional vibration characteristics of fluid filled pipe.
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Dissertations / Theses on the topic "Method of characteristics (MOC)"

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Graziano, Laurent. "An axial polynomial expansion and acceleration of the characteristics method for the solution of the Neutron Transport Equation." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS389/document.

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L'objectif de ce travail de thèse est le développement d'une approximation polynomiale axiale dans un solveur basé sur la Méthode des Caractéristiques. Le contexte, est celui de la solution stationnaire de l'équation de transport des neutrons pour des systèmes critiques, et l'implémentation pratique a été réalisée dans le solveur "Two/three Dimensional Transport" (TDT), faisant partie du projet APOLLO3®. Un solveur MOC pour des géométries en trois dimensions a été implémenté dans ce code pendant un projet de thèse antécédent, se basant sur une approximation constante par morceaux du flux et des sources des neutrons. Les développements présentés dans la suite représentent la continuation naturelle de ce travail. Les solveurs MOC en trois dimensions sont capables de produire des résultats précis pour des géométries complexes. Bien que précis, le coût computationnel associé à ce type de solveur est très important. Une représentation polynomiale en direction axiale du flux angulaire des neutrons a été utilisée pour réduire ce coût computationnel.Le travail réalisé pendant cette thèse peut être considéré comme divisé en trois parties: transport, accélération et autres. La première partie est constituée par l'implémentation de l'approximation polynomiale choisie dans les équations de transmission et de bilan typiques de la Méthode des Caractéristiques. Cette partie a aussi été caractérisée par le calcul d'une série de coefficients numériques qui se sont révélés nécessaires afin d'obtenir un algorithme stable. Pendant la deuxième partie, on a modifié et implémenté la solution des équations de la méthode d'accélération DPN. Cette méthode était déjà utilisée pour l'accélération et des itérations internes et externes dans TDT pour les solveurs deux et trois dimensionnels avec l'approximation des flux plat, quand ce travail a commencé. L'introduction d'une approximation polynomiale a demandé plusieurs développements numériques regardant la méthode d'accélération. Dans la dernière partie de ce travail on a recherché des solutions pour un mélange de différents problèmes liés aux premières deux parties. En premier lieux, on a eu à faire avec des instabilités numériques associées à une discrétisation spatiale ou angulaire pas suffisamment précise, soit pour la partie transport que pour la partie d'accélération. Ensuite, on a essayé d'utiliser différentes méthodes pour réduire l'empreinte mémoire des coefficients d'accélération. L'approche qu'on a finalement choisie se base sur une régression non-linéaire au sens des moindres carrés de la dépendance en fonction des sections efficaces typique de ces coefficients. L'approche standard consiste dans le stockage d'une série de coefficients pour chaque groupe d'énergie. La méthode de régression permet de remplacer cette information avec une série de coefficients calculés pendant la régression qui sont utilisés pour reconstruire les matrices d'accélération au cours des itérations. Cette procédure ajoute un certain coût computationnel à la méthode, mais nous pensons que la réduction de la mémoire rende ce surcoût acceptable.En conclusion, le travail réalisé a été concentré sur l'application d'une simple approximation polynomiale avec l'objectif de réduire le coût computationnel et l'empreinte mémoire associées à un solveur basée sur la Méthodes des Caractéristiques qui est utilisé pour calculer le flux neutroniques pour des géométries à trois dimensions extrudées. Même si cela ne constitue pas une amélioration radicale des performances, l'approximation d'ordre supérieur qu'on a introduit permet une réduction en termes de mémoire et de temps de calcul d'un facteur compris entre 2 et 5, selon le cas. Nous pensons que ces résultats constitueront une base fertile pour des futures améliorations
The purpose of this PhD is the implementation of an axial polynomial approximation in a three-dimensional Method Of Characteristics (MOC) based solver. The context of the work is the solution of the steady state Neutron Transport Equation for critical systems, and the practical implementation has been realized in the Two/three Dimensional Transport (TDT) solver, as a part of the APOLLO3® project. A three-dimensional MOC solver for 3D extruded geometries has been implemented in this code during a previous PhD project, relying on a piecewise constant approximation for the neutrons fluxes and sources. The developments presented in the following represent the natural continuation of this work. Three-dimensional neutron transport MOC solvers are able to produce accurate results for complex geometries. However accurate, the computational cost associated to this kind of solvers is very important. An axial polynomial representation of the neutron angular fluxes has been used to lighten this computational burden.The work realized during this PhD can be considered divided in three major parts: transport, acceleration and others. The first part is constituted by the implementation of the chosen polynomial approximation in the transmission and balance equations typical of the Method Of Characteristics. This part was also characterized by the computation of a set of numerical coefficients which revealed to be necessary in order to obtain a stable algorithm. During the second part, we modified and implemented the solution of the equations of the DPN synthetic acceleration. This method was already used for the acceleration of both inners and outers iteration in TDT for the two and three dimensional solvers at the beginning of this work. The introduction of a polynomial approximation required several equations manipulations and associated numerical developments. In the last part of this work we have looked for the solutions of a mixture of different issues associated to the first two parts. Firstly, we had to deal with some numerical instabilities associated to a poor numerical spatial or angular discretization, both for the transport and for the acceleration methods. Secondly, we tried different methods to reduce the memory footprint of the acceleration coefficients. The approach that we have eventually chosen relies on a non-linear least square fitting of the cross sections dependence of such coefficients. The default approach consists in storing one set of coefficients per each energy group. The fit method allows replacing this information with a set of coefficients computed during the regression procedure that are used to re-construct the acceleration matrices on-the-fly. This procedure of course adds some computational cost to the method, but we believe that the reduction in terms of memory makes it worth it.In conclusion, the work realized has focused on applying a simple polynomial approximation in order to reduce the computational cost and memory footprint associated to a Method Of Characteristics solver used to compute the neutron fluxes in three dimensional extruded geometries. Even if this does not a constitute a radical improvement, the high order approximation that we have introduced allows a reduction in terms of memory and computational times of a factor between 2 and 5, depending on the case. We think that these results will constitute a fertile base for further improvements
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Hofírek, Michal. "Modelování tlakových pulsací v potrubí." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318683.

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This diploma thesis deals with problem of water hammer in pipes affected by viscoelastic behavior of pipe material. Mathematical model uses pressure dependent speed of sound in water air mixture. For purpose of numerical solution the Method of Characteristics with independent time step is introduced. This method is compared with commonly used methods such as Method of Characteristics (MOC) and Lax Wendroff scheme. Derived model, solved with Method of Characteristics with independent time step, is verified with experimental simulation.
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Delaney, Michael B. "Selection Method and Judicial Background Characteristics." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1382372765.

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Wood, Stephen L. "Modeling of Pipeline Transients: Modified Method of Characteristics." FIU Digital Commons, 2011. http://digitalcommons.fiu.edu/etd/456.

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The primary purpose of this research was to improve the accuracy and robustness of pipeline transient modeling. An algorithm was developed to model the transient flow in closed tubes for thin walled pipelines. Emphasis was given to the application of this type of flow to pipelines with small radius 90° elbows. An additional loss term was developed to account for the presence of 90° elbows in a pipeline. The algorithm was integrated into an optimization routine to fit results from the improved model to experimental data. A web based interface was developed to facilitate the pre- and post- processing operations. Results showed that including a loss term that represents the effects of 90° elbows in the Method of Characteristics (MOC) [1] improves the accuracy of the predicted transients by an order of magnitude. Secondary objectives of pump optimization, blockage detection and removal were investigated with promising results.
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Chandran, Varadharajan. "Robust Method to Deduce Cache and TLB Characteristics." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1308256764.

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Rahman, Mashuqur, Ulf Håkansson, and Johan Wiklund. "Grout pump characteristics evaluated with the UVP+PD method." KTH, Jord- och bergmekanik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-107161.

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Rock grouting is performed to decrease the hydraulic conductivity around underground structures, such as tunnels and caverns. Cement grouts are often used and pumped into joint and fractures of the rock formation. Piston type pumps are mostly used for high pressure rock grouting. A pulsation effect is inevitable when using this type of pump due to the movement of the piston. The effect of this pulsation on rock grouting is yet to be known but believed to be benefi-cial for the penetration of the grout. Current flow meters used in the field are not accu-rate enough to determine the fluctuation of the flow rate when it is less than 1 l/min. In addition, currently available flow meters measure the average of the flow over a cer-tain period of time, hence the true fluctuation of the flow rate due to the pulsation of the piston remains unknown. In this paper, a new methodology, the so called ‘Ultrasound Velocity Profiling – Pressure Difference’ (UVP+PD) method has been introduced to show the pulsation effect when using a piston type pump. The feasibility of this method was successfully investigated for the direct in-line determination of the rheological properties of micro cement based grouts under field conditions (Rahman & Håkansson, 2011). Subse-quently, it was also found that this method can be very efficient to measure the fluctu-ation of the flow rate for different types of pumps. From a grouting point of view the UVP+PD method can be used to synchronize the pressure and flow of a piston type pump by measuring the pulsation effect. Conse-quently it can be used as a tool for the efficiency and quality control of different types of pumps.

QC 20121221

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Kiser, Eric. "Earthquake Characteristics as Imaged by the Back-Projection Method." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10355.

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This dissertation explores the capability of dense seismic array data for imaging the rupture properties of earthquake sources using a method known as back-projection. Only within the past 10 or 15 years has implementation of the method become feasible through the development of large aperture seismic arrays such as the High Sensitivity Seismograph Network in Japan and the Transportable Array in the United States. Coincidentally, this buildup in data coverage has also been accompanied by a global cluster of giant earthquakes (Mw>8.0). Much of the material in this thesis is devoted to imaging the source complexity of these large events. In particular, evidence for rupture segmentation, dynamic triggering, and frequency dependent energy release is presented. These observations have substantial implications for evaluating the seismic and tsunami hazards of future large earthquakes. In many cases, the details of the large ruptures can only be imaged by the back-projection method through the addition of different data sets and incorporating additional processing steps that enhance low-amplitude signals. These improvements to resolution can also be utilized to study much smaller events. This approach is taken for studying two very different types of earthquakes. First, a global study of the enigmatic intermediate-depth (100-300 km) earthquakes is performed. The results show that these events commonly have sub-horizontal rupture planes and suggest dynamic triggering of multiple sub-events. From these observations, a hypothesis for the generation of intermediate-depth events is proposed. Second, the early aftershock sequences of the 2004 Mw 9.1 Sumatra-Andaman and 2011 Mw 9.0 Tohoku, Japan earthquakes are studied using the back-projection method. These analyses show that many events can be detected that are not in any local or global earthquake catalogues. In particular, the locations of aftershocks in the back-projection results of the 2011 Tohoku sequence fill in gaps in the aftershock distribution of the Japan Meteorological Agency catalogue. These results may change inferences of the behavior of the 2011 mainshock, as well as the nature of future seismicity in this region. In addition, the rupture areas of the largest aftershocks can be determined, and compared to the rupture area of the mainshock. For the Tohoku event, this comparison reveals that the aftershocks contribute significantly to the cumulative failure area of the subduction interface. This result implies that future megathrust events in this region can have larger magnitudes than the 2011 event.
Earth and Planetary Sciences
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Yeung, Hway-Seen. "Evaluation of legume cooking characteristics using a rapid screening method." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-2514.

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Jansen, Derek (Derek Timothy) 1963 Carleton University Dissertation Management Studies. "The influence of host country characteristics on method of entry." Ottawa.:, 1992.

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Tao, Zhengsu. "Characteristics of the transparent fluid assisted in-process measurement method /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?MECH%202003%20TAO.

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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2003.
Includes bibliographical references (leaves 106-114). Also available in electronic version. Access restricted to campus users.
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Books on the topic "Method of characteristics (MOC)"

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Konikow, Leonard F. User's guide to revised method-of-characteristics solute-transport model (MOC--version 3.1). Reston, VA: U.S. Geological Survey, 1994.

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Going, M. Nozzle design optimization by method-of-characteristics. Washington, D. C: American Institute of Aeronautics and Astronautics, 1990.

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Sikonia, W. G. Mass-conserving method of characteristics for streamflow modeling. Washington, DC: U.S. G.P.O., 1992.

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Beggs, John H. An implicit characteristic based method for electromagnetics. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2001.

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Konikow, Leonard F. A three-dimensional method-of-characteristics solute- transport model (MOC3D). Reston, Va: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Konikow, Leonard F. A three-dimensional method-of-characteristics solute- transport model (MOC3D). Reston, Va: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Garrod, Guy. The hedonic price method and the valuation of countryside characteristics. Newcastle uponTyne: Countryside Change Unit, Dept. of Agricultural Economics & Food Marketing, University of Newcastle upon Tyne, 1991.

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Konikow, Leonard F. A three-dimensional method-of-characteristics solute-transport model (MOC3D). Reston, Va: U.S. Geological Survey, 1996.

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Konikow, Leonard F. A three-dimensional method-of-characteristics solute-transport model (MOC3D). Reston, Va: U.S. Geological Survey, 1996.

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Konikow, Leonard F. A three-dimensional method-of-characteristics solute- transport model (MOC3D). Reston, Va: U.S. Dept. of the Interior, U.S. Geological Survey, 1996.

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Book chapters on the topic "Method of characteristics (MOC)"

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Apostolidi, Eftychia. "Masonry Buildings' Seismic Failures." In Characteristic Seismic Failures of Buildings, 59–148. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2019. http://dx.doi.org/10.2749/sed016.059.

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<p>Masonry structures are probably the most popular and ancient type of buildings all over the world. Easy access of its constitutive materials, which are basically stones, bricks, and mortar (which varies from region to region), makes masonry one of the everlasting construction methods from small residential buildings to the most important ancient and historic monuments. <p>Some masonry buildings have proved to be resistant structures even in seismic prone areas, due to some specific structural characteristics that have been observed throughout the years and after many destructive earthquakes. In this chapter, an effort will be made to refer to and describe the most characteristic deficiencies in unreinforced and reinforced masonry buildings under seis-mic actions. Design recommendations for new earthquake-resistant structures will follow, and some retrofitting and strengthening strategies for existing masonry buildings will be proposed.
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Sasoh, Akihiro. "Method of Characteristics." In Compressible Fluid Dynamics and Shock Waves, 229–39. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-0504-1_10.

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Vos, Roelof, and Saeed Farokhi. "Method of Characteristics." In Introduction to Transonic Aerodynamics, 211–73. Dordrecht: Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-017-9747-4_5.

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Ermer, Joachim. "Method Performance Characteristics." In Method Validation in Pharmaceutical Analysis, 73–190. Weinheim, Germany: Wiley-VCH Verlag GmbH & Co. KGaA, 2014. http://dx.doi.org/10.1002/9783527672202.ch5.

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Ebert, Marcelo R., and Michael Reissig. "Method of Characteristics." In Methods for Partial Differential Equations, 57–68. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-66456-9_6.

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Zhang, Zh. "Method of Characteristics." In Hydraulic Transients and Computations, 195–206. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40233-4_8.

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Razdan, Atul Kumar, and V. Ravichandran. "Method of Characteristics." In Fundamentals of Partial Differential Equations, 305–34. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9865-1_7.

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Pai, Shih-I., and Shijun Luo. "Method of Characteristics." In Theoretical and Computational Dynamics of a Compressible Flow, 313–44. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-1619-1_11.

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Eslami, M. Reza, Richard B. Hetnarski, Jozef Ignaczak, Naotake Noda, Naobumi Sumi, and Yoshinobu Tanigawa. "The Method of Characteristics." In Theory of Elasticity and Thermal Stresses, 715–25. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6356-2_27.

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Griffiths, David F., John W. Dold, and David J. Silvester. "The Method of Characteristics." In Springer Undergraduate Mathematics Series, 161–94. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22569-2_9.

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Conference papers on the topic "Method of characteristics (MOC)"

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Wu, Wen-bin, Kan Wang, and Qing Li. "Matrix Method of Characteristics Based on Modular Ray Tracing." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-15278.

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The Matrix Method of Characteristics (MOC) is an alternative to traditional MOC, in which repeatedly characteristics sweeping is needed. In the Matrix MOC, a linear algebraic equation system, which is represented by coefficient-matrix, can be formed by sweeping only once, and then solving the linear system takes the place of repeatedly characteristics sweeping. There are many linear solvers to be use, like direct LU decomposition and widely used Krylov subspace iterative methods. In the past, 2D Matrix MOC was implemented based on the long characteristics in which tremendous memory is consumed to hold the geometrical information. Then, 2D Matrix MOC based on modular ray tracing was implemented to overcome the difficulty. Modular ray tracing just holds the geometrical information of typical modules like cells or assemblies, consequently needs less memory. In this study, Filippone-type modular ray tracing in which different azimuths own the same number of characteristics lines was used, and AutoCAD VBA programing produced the geometrical information. Also, the Matrix MOC based on modular ray tracing was implemented to solve half, fourth and eighth reactor core in which additional modules, e.g. half-module, fourth-module and eighth-module were involved and need special considerations. Numerical results demonstrate that Matrix MOC based on modular ray tracing can obtain good efficiency and accuracy.
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Hao, Yu, Akio Yamamoto, and Yoshihiro Yamane. "Resonance Calculation for Large and Complicated Geometry Using Tone’s Method by Incorporating the Method of Characteristics." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-30046.

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Applicability and efficiency of Tone’s method used for resonance calculations is improved by incorporating the Method of Characteristics (MOC). Verification calculations are carried out in three configurations, i.e., infinite slab, infinite cylinder, and pin-cell. The validity of the modified Tone’s method has been confirmed through the results of verification calculations. Since MOC has excellent geometric flexibility and efficiency for large and complicated configurations, the proposed method can be applied to a large, complicated, and general geometry such as a whole fuel assembly or a full core configuration.
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Yang, Xue, and Tatjana Jevremovic. "Solving the Time-Dependent Transport Equation Using Time-Dependent Method of Characteristics and Rosenbrock Method." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29638.

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A new approach based on the method of characteristics (MOC) and Rosenbrock method is developed to solve the time-dependent transport equation in one-dimensional (1D) geometry without any approximation and considering delayed neutrons. Within the MOC methodology, the leakage term in time-dependent transport equation can be simplified to spatial derivative of the angular flux along the characteristics lines. For 1D geometry, the proposed exponential correlation derived from the steady-state MOC equations provides the correlation between the cell outgoing angular flux and the cell average angular flux. Thus, the spatial derivative term can be further substituted by the relation containing only the cell average angular flux that represents the unknowns. Therefore, the 1D time-dependent transport equation is decomposed into a series of locally coupled ordinary differential equations (ODE). Rosenbrock method was chosen to solve the system of ODEs. It is a fourth order explicit method with automatic step size control feature developed for stiff ODEs. The FORTRAN90 numerical program is developed to thus solve the time-dependent transport equation considering delayed neutrons in 1D geometry with both vacuum and reflective boundary conditions. The step perturbation is currently supported. The method presented in this paper was verified in comparison to 1D fast reactor benchmark showing good accuracy and efficiency.
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Chen, Qichang, Hongchun Wu, and Liangzhi Cao. "The Method of Characteristics for Arbitrary Geometry Based on the Customization of Autocad." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48605.

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The method of characteristics (MOC) solves the neutron transport equation along each characteristics line. It is independent of the geometry shape of boundary and region. So theoretically, this method can be used to solve neutron transport equation in highly complex geometry. However, we should describe the geometry strictly and calculate intersect points of each characteristics line with every boundary and region firstly. In complex geometry, due to the great difficulty of treating of the arbitrary domain, the selection of geometry shape and efficiency of ray tracing are limited. So in most of the existing MOC codes, the type of outer boundary is limited as rectangular, hexagonal, triangular or the combination of them. And in order to treat reflective boundary condition, the selection of the azimuthal angles number is not freewill for different outer boundary shapes. To wipe off these limitations for using MOC in more complex fuel assembly calculation, the more powerful geometry treatment method is needed. The geometry treatment through the customization of AutoCAD, famous computer aided design software, is given in this paper. Thanks to the powerful capability of AutoCAD in graphics, the description of complex geometry becomes quite convenient. Moreover, with the language VBA (Visual Basic for Applications), AutoCAD can be customized to calculate intersect points of each characteristics line with every boundary and region. Thereby, no matter how complex or what kind of the geometry shape is, it can be treated uniformly by this method as long as it can be drawn in the AutoCAD. In addition, a directional interpolation method for the treatment of reflective boundary condition is introduced in this paper, so the number of azimuthal angles can be selected freely.
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Yang, Shuai, Shiyang Li, Dazhuan Wu, Kai Zhang, Qiao Li, and Zhongtian Xu. "The Transient Characteristics Analysis of Pump During Rapid Valve Opening and Closing." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5180.

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Abstract The dynamic characteristics of pump response to transient events were investigated by combining the Method of Characteristic (MOC) and Computational Fluid Dynamics (CFD) together. In a typical pump–pipeline–valve system, similar to the reactor system, the pump is treated as three-dimensional CFD model using Fluent code, whereas the rest is represented by one-dimensional components using MOC code. Meanwhile, a description of the coupling theory and procedure ensuring proper communication within the two codes is given. Then the pump transient characteristics caused by downstream valve closing and opening were analyzed and compared with the steady characteristic to study the effect of fluid inertia on the pump transient performance. It was found that the H-Q curve in transient operation evidently deviates from the steady-state value and shows two distinct patterns of deviation, and the cause of the deviation was further explained by the comparison of pump internal and external characteristics. All the results showed that MOC–CFD is an efficient and promising way for simulating the interaction between pump model and piping system.
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Liang, Liang, Hongchun Wu, Liangzhi Cao, and Youqi Zheng. "Development of a Two-Dimensional Modularity Characteristics Code for Neutron Transport Calculation." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-15725.

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The method of characteristics (MOC) has been widely used in lattice code for its high precision and easy complement. However, the long characteristics method needs large quantity of PC memory when dealing with large scale problems. The modularity MOC method could significantly reduce the PC memory when calculating the problem which contains lots of repeatedly geometries, like the fuel assembly in the reactor. In this method, only typical geometric cells are selected to trace the rays, and then the geometry information of these cells is stored. So, the modularity MOC method is feasible to perform well in the calculation with large scale. When tracing the rays, the technique of mesh ray generating and the corresponding azimuthal quadrature set are both applied. The techniques make sure that each ray has the reflected ray in the boundary so it is convenient to describe the boundary condition. The optimal polar angle and the Guass quadrature set are selected as the polar quadrature set. Furthermore, the coarse mesh finite difference (CMFD) is employed to accelerate the calculation. A pin cell is chosen as the coarse mesh. The CMFD solution provides the MOC with much faster converged fission and scattering source distributions. The LOTUS code is developed and the numerical results show that the code is precise for engineering application and the CMFD acceleration is effective.
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XiaoRui, Tian, Zhou Tao, Li Zichao, and Yu Tao. "The Sensitivity Simulation of Different Geometric Pretreatment in Method of Characteristics." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67565.

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In reactor core physics analysis,the research about the pre-processing of Method of Characteristic (MOC) including the generation and storage of characteristic line,the progress of calculation and the choosing of different quadrature set.In addition,doing some simulations,which is based on OpenMOC code and C5G7-MOX benchmark,about different parameters (including the track spacing,azimuthal angles and polar angles) and calculated its impacts on the computational efficiency and accuracy.the simulation results are as following:setting the track spacing as 0.1 cm or the azimuthal angle number as 4,the simulation results have better accuracy. Whether choosing the Leonard’s optimum quadrature set or the Tabuchi-Yamamoto quadrature set,the number of polar angles have tiny impact on accuracy.
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Chai, Xiaoming, Xiaolan Tu, and Wei Lu. "The Powerful MOC Module in Advanced Neutronics Lattice Code GALAXY." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60661.

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Due to powerful geometry treatment capability, Method Of Characteristics (MOC) becomes the most popular method to solve neutron transport equation. However, boundary conditions always restrict the MOC method’s widely application. Most of the current neutronics lattice codes based on MOC can only be used to solve one or two specific geometrical shapes. In this paper, we developed a powerful MOC module, which can treat different geometrical shapes with two methods. For special geometrical shapes, such as rectangle, 1/8 of square, hexagon, 1/3 of hexagon, 1/6 of hexagon, the MOC module adopts special trajectory layout and angle quadrature set, which can reduce the computation time. For other general geometrical shapes, the MOC module use ray prolongation method, which can treat arbitrary geometry shapes and boundary conditions but need much computation time. This MOC module was incorporated into advanced neutronics lattice code GALAXY, which developed by Nuclear Power Institute of China. The numerical results show that the GALAXY code can be used to calculate 2D neutronics problems with rectangle, hexagon, and other complicated geometry shapes accurately. In future, the GALAXY code will gradually become the main neutroncis lattice code in NPIC.
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Zhang, GuangChun, Hongchun Wu, Liangzhi Cao, and Youqi Zheng. "Calculations of the Dual Functional Lithium Lead-Test Blanket Module for ITER With Three-Dimensional Deterministic Method." In 2012 20th International Conference on Nuclear Engineering and the ASME 2012 Power Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/icone20-power2012-54445.

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Neutronics calculations and analysis of ITER test blanket module lay the foundation for the design, construct and experiment of ITER. In this paper, the realistic 3D neutronics calculations of the dual functional lithium lead-test blanket module (DFII-TBM) have been carried out by means of the 3D MOC code and the SPN code, which are both deterministic methods and developed by NECP lab, adopting the multi-group nuclear data library FENDI/MG-2.1. The main features of the TBM nuclear response are assessed, paying a particular attention to the neutron flux and tritium production rate. The 3DMOC code is a coupling a 3D method of characteristics (MOC) to the common geometry module. It could calculate the flux throughout three-dimensional systems by the MOC, which has been proved a very flexible and effective method for the neutron transport calculation in a complex geometry. In this code, a modular ray tracing technique is adopted to reduce the amount of the ray tracing data and the Coarse Mesh Finite Difference (CMFD) acceleration method is employed to save computing time, which could well solve the difficulties when applying MOC in three-dimensional geometries. The SPN code is another three-dimensional Boltzmann transport equation calculation code. The simplified PN method is used to treat the directional variable, and the Nodal method treats the spatial variable. Consequently, this code has an advantage in shorting computing time when applied to big geometry problems. Considering the big geometry of DFII-TBM and the large number of the cross sections of nuclear data library FENDI/MG-2.1, a two-step approach is adopted. Firstly, the DFII-TBM is dissected into some typical independent parts. 3D calculations are performed on these parts respectively with 3D MOC code and FENDL/MG-2.1 library to obtain the detailed heterogeneous flux distribution. Then the homogenization is carried out to calculate the average homogeneous cross sections, followed by the use of homogeneous cross sections to calculate the flux distribution throughout the DFII-TBM with SPN code. The results obtained are herewith presented and critically discussed.
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Wylie, E. Benjamin. "Quasi-Steady Flow in Hydraulic Systems Using MOC." In 2000 3rd International Pipeline Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/ipc2000-246.

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The Method of Characteristics (MOC) is utilized effectively in many industries to calculate hydraulic transients in almost all pipeline systems. Recently it has been suggested as a suitable calculation procedure for long term (extended time) quasi-steady flow problems. It might serve as an alternative approach to using rigid water-column (lumped inertia) calculations, or to integrating over time with a series of steady state calculations, which are two procedures receiving recent attention. This paper provides a unique approach within the MOC framework, by modifying terms in the pipeline partial differential equations. When carried through the MOC it leads to a minor modification in a transient code by introducing the two new parameters. The method is developed and applied to a network example herein.
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Reports on the topic "Method of characteristics (MOC)"

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Kennedy, Kevin D. Method of Characteristic (MOC) Nozzle Flowfield Solver - User's Guide and Input Manual. Fort Belvoir, VA: Defense Technical Information Center, January 2013. http://dx.doi.org/10.21236/ada578559.

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Katsube, T. J., and N. Scromeda-Perez. A method to determine electrode polarization characteristics. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2003. http://dx.doi.org/10.4095/214168.

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Siegel, Stephen F., Andrew R. Siegel, and Cristian Rabiti. UNIC Code: Algorithmic Specification of the Method of Long Characteristics. Office of Scientific and Technical Information (OSTI), June 2008. http://dx.doi.org/10.2172/1177969.

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de San Eugenio Vela, Jordi. Characteristics and functions for place brands based on a Delphi method. Revista Latina de Comunicación Social, October 2013. http://dx.doi.org/10.4185/rlcs-2013-985en.

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Nakashima, Tatsushi, Takehiko Kato, Kiyokazu Akiyama, and Keisuke Komori. Development of Combustion Characteristics Analysis Method of Ultra-High Engine Speed Range. Warrendale, PA: SAE International, September 2005. http://dx.doi.org/10.4271/2005-08-0513.

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Gold, Vladimir M., Ernest L. Baker, John M. Hirlinger, and Koon W. Ng. A Method for Predicting Fragmentation Characteristics of Natural and Performed Explosive Fragmentation Munitions. Fort Belvoir, VA: Defense Technical Information Center, September 2001. http://dx.doi.org/10.21236/ada403989.

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Mogi, Yasuhiro, Katsuhiro Yamada, Nobuaki Watanabe, Masao Seki, Hiroshi Kamikawa, Hideaki Mitsui, Etsukazu Asano, et al. Standardization of Test Method for Metal-on-Metal Friction Characteristics of Belt CVT Fluids. Warrendale, PA: SAE International, September 2005. http://dx.doi.org/10.4271/2005-08-0412.

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Ikeda, Akihiro, Takumi Wakamatsu, Junzo Tamari, and Masanori Tajima. Development of Assessment Method for Vibration Characteristics of Disk Wheel on Road Noise Performance. Warrendale, PA: SAE International, September 2005. http://dx.doi.org/10.4271/2005-08-0592.

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Beckett-Brown, C. E., A. M. McDonald, and M. B. McClenaghan. Discovering a porphyry deposit using tourmaline: a case study from Yukon. Natural Resources Canada/CMSS/Information Management, 2023. http://dx.doi.org/10.4095/331349.

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As the exploration for porphyry Cu-Au-Mo deposits has become increasingly challenging, the development of more effective techniques directed at detecting buried deposits has become critical. One methodology is to focus on key minerals, one of which is tourmaline, a robust, ubiquitous mineral in most mineralized porphyry systems. Overall, a combination of physical and chemical characteristics including 1) macro-color, 2) morphology, 3) inclusion populations, and 4) trace-element compositions are useful in discriminating between porphyry- versus non-porphyry-derived (or related) tourmaline in surficial sediments (Beckett-Brown 2022). These features are applied to tourmaline obtained from stream sediment samples (n = 22) from 16 streams derived from the unglaciated terrain proximal to the Casino calc-alkaline porphyry Cu-Au-Mo deposit (Yukon Territory, Canada). The obtained tourmaline occurs as two distinct morphologies: 1) individual blocky to prismatic sub- to euhedral grains (Type 1), 2) aggregates of radiating prismatic to acicular sub- to euhedral grains (Type 2). Type 1 grains display trace-element contents that reflect mixed origins including a mineralized porphyry origin as well metamorphic and pegmatitic (background) environments. Type 2 grains almost exclusively exhibit porphyry-derived trace-element chemistries (i.e., high Sr/Pb ~150 avg. and relatively low Zn/Cu ~2.5 avg. values). In Canadian Creek, that directly drains from the Casino deposit, samples closest to the deposit contain &amp;gt;70% porphyry-derived tourmaline, while other streams in the region from unprospective drainage basins contain no porphyry-derived tourmaline. At the most distal sample site in Canadian Creek, ~20 km downstream from Casino, nearly 30% of the recovered tourmaline in the stream sediments is porphyry-related. This method has potential to be a strong indicator of prospectivity and applicable for exploration for porphyry Cu-Au-Mo systems in both unglaciated and glaciated terrains.
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Greenberg, Cathryn H., and Bernard R. Parresol. Acorn Production Characteristics of Southern Appalachian Oaks: A Simple Method to Predict Within-Year Crop Size. Asheville, NC: U.S. Department of Agriculture, Forest Service, Southern Research Station, 2000. http://dx.doi.org/10.2737/srs-rp-20.

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