Статті в журналах: "Heterogeneous solution"

1

Serrano, Sergio E. "The Theis Solution in Heterogeneous Aquifers." Ground Water 35, no. 3 (May 1997): 463–67. http://dx.doi.org/10.1111/j.1745-6584.1997.tb00106.x.

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2

Baker-Jarvis, J., and R. Inguva. "Heat Conduction in Heterogeneous Materials." Journal of Heat Transfer 107, no. 1 (February 1, 1985): 39–43. http://dx.doi.org/10.1115/1.3247399.

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A new solution to the heat equation in composite media is derived using a variational principle developed by Ben-Amoz. The model microstructure is fed into the equations via a term for the polar moment of the inclusions in a representative volume. The general solution is presented as an integral in terms of sources and a Green function. The problem of uniqueness is studied to determine appropriate boundary conditions. The solution reduces to the solution of the normal heat equation in the limit of homogeneous media.

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3

KrishnaRambol, Radha, Nesar Ahmad, and B. K. Sharma. "Efficient Data Accessing through Heterogeneous ERP Solution." International Journal of Computer Applications 53, no. 6 (September 25, 2012): 14–17. http://dx.doi.org/10.5120/8423-2178.

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4

Mußotter, Maximilian, Markus Bier, and S. Dietrich. "Heterogeneous surface charge confining an electrolyte solution." Journal of Chemical Physics 152, no. 23 (June 21, 2020): 234703. http://dx.doi.org/10.1063/5.0006208.

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5

Han, J. S., D. M. Soh, C. W. Joh, B. I. Choi, Y. S. Lee, C. J. Lee, and C. H. Park. "Heterogeneous distribution of cardioplegic solution in pigs." British Journal of Anaesthesia 86, no. 3 (March 2001): 427–30. http://dx.doi.org/10.1093/bja/86.3.427.

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6

Aricò, Costanza, and Tullio Tucciarelli. "Monotonic solution of heterogeneous anisotropic diffusion problems." Journal of Computational Physics 252 (November 2013): 219–49. http://dx.doi.org/10.1016/j.jcp.2013.06.017.

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7

Lemaire, Marc. "Heterogeneous asymmetric catalysis." Pure and Applied Chemistry 76, no. 3 (January 1, 2004): 679–88. http://dx.doi.org/10.1351/pac200476030679.

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Examples of enantioselective catalysts, including homogeneous supported catalysts and biphasic liquid/liquid, are described and compared. In the case of asymmetric hydride transfer, polythiourea was proven to be more efficient for ruthenium-catalyzed reduction of arylketones, although the iridium complexes gave rise to higher ee when using amino sulfonamide bound to a polystyrene matrix. In the case of asymmetric reduction, the modification of the binap allows the formation of a polymer that could be used as a catalyst precursor and exhibits enantioselectivities as high as observed in solution, but easier to separate and recycle. Bisoxazoline bound to silica particules could also be used in copper-catalyzed asymmetric Diels-Alder reaction and cyclopropanation with selectivities similar to that obtained in solution.

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8

ALONSO, ANA. "A MATHEMATICAL JUSTIFICATION OF THE LOW-FREQUENCY HETEROGENEOUS TIME-HARMONIC MAXWELL EQUATIONS." Mathematical Models and Methods in Applied Sciences 09, no. 03 (April 1999): 475–89. http://dx.doi.org/10.1142/s0218202599000245.

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This paper deals with the low-frequency model for the time-harmonic Maxwell equations in a heterogeneous medium which behaves like a conductor in one part and a perfect insulator in the other. The model is justified comparing the solution with the one given by the high-frequency heterogeneous model. A bound for the norm of the difference in terms of the frequency is given. It is also proven that the solution of the heterogeneous problem is the limit of the solutions of problems in a conductor with conductivity that tends to zero in a part of the medium.

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9

Okazaki, M., and R. Z. Legeros. "Properties of Heterogeneous Apatites Containing Magnesium, Fluoride, and Carbonate." Advances in Dental Research 10, no. 2 (November 1996): 252–59. http://dx.doi.org/10.1177/08959374960100022201.

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Biological apatites present in the mineral phases of normal and pathological calcifications contain magnesium, Mg, and carbonate, CO3. As a consequence of fluctuations in the composition of the micro-environment, these apatites may sometimes form by heterogeneous precipitation. The purpose of this study was to investigate the properties of (Mg, CO3)-apatites formed heterogeneously in the presence of fluoride, F. Two types of fluoridated (Mg, CO3)-apatites formed from solutions with low and high levels of Mg were prepared at 80°C, pH 7.4. We prepared FMgCO3-MgCO 3AP (Type 1) by adding the F-containing solution to those containing calcium, Mg, and phosphate ions during the first half of the precipitation period. We prepared MgCO3-FMgCO3Ap (Type 2) by adding the F-containing solution during the final half of the period. The apatites were analyzed by x-ray diffraction (XRD), infrared absorption spectroscopy, and scanning electron microscopy (SEM). SEM and XRD analyses showed evidence of mixed crystals in the heterogeneous apatites. The presence of Mg inhibits, while F promotes, apatite crystal growth. In addition, Mg incorporation increased with increasing fluoride concentration. The extent of dissolution in acid buffer of both types of heterogeneous apatites increased with Mg: Type 1 > Type 2. These results suggest that the crystal and dissolution properties of heterogeneous fluoridated (Mg, C03)-apatites are greatly affected by the mode of F incorporation and Mg concentrations in the environment.

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10

Ayaz, Shehzad, Khurram Khattak, Zawar Khan, Nasru Minallah, Mushtaq Khan, and Akhtar Khan. "Sensing technologies for traffic flow characterization: From heterogeneous traffic perspective." Journal of Applied Engineering Science 20, no. 1 (2022): 29–40. http://dx.doi.org/10.5937/jaes0-32627.

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Importance of detailed traffic flow characterization is immense for achieving an intelligent transportation system. As such, great efforts in existing literature have gone into proposing different solutions for traffic flow characterization. Among these, first generation intrusive sensors such as pneumatic tube, inductive loop, piezoelectric and magnetic sensors were both labor intensive and expensive to install and maintain. These sensors were able to provide only vehicle count and classification under homogeneous traffic conditions. Second generation non-intrusive sensors based solutions, though a marked improvement over intrusive sensors, have the capability to only measure vehicle count, speed and classifications. Furthermore, both intrusive and non-intrusive sensor based solutions have limitations when employed under congested and heterogeneous traffic conditions. To overcome these limitations, a compute vision based solution has been proposed for traffic flow characterization under heterogeneous traffic behaviour. The proposed solution was field tested on a complex road configuration, consisting of a two-way multi-lane road with three U-turns. Unlike both intrusive and non-intrusive sensors, the proposed solution can detect pedestrians, two/ three wheelers and animal/human driven carts. Furthermore, detailed flow parameters such as vehicle count, speed, spatial/temporal densities, trajectories and heat maps were measured.

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11

Suárez, Antonio. "Nonnegative solutions for a heterogeneous degenerate competition model." ANZIAM Journal 46, no. 2 (October 2004): 273–97. http://dx.doi.org/10.1017/s1446181100013845.

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AbstractThis paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion. We give conditions in terms of the coefficients involved in the setting of the problem which assure the existence of nonnegative solutions as well as the uniqueness of a positive solution. In order to obtain these results we employ monotonicity methods, singular spectral theory and a fixed point index.

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12

AMORE, PAOLO. "HETEROGENEOUS SYSTEMS IN DIMENSIONS: LOWER SPECTRUM." ANZIAM Journal 57, no. 2 (October 2015): 150–65. http://dx.doi.org/10.1017/s144618111500022x.

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The lower part of the spectrum of the Helmholtz equation for a heterogeneous system in a finite region in $d$ dimensions, where the solutions to the corresponding homogeneous system are known, can be systematically approximated by means of iterative methods. These methods only require the specification of an arbitrary ansatz and converge to the desired solution, regardless of the strength of the inhomogeneities, provided the ansatz has a finite overlap with it. In this paper, different boundary conditions at the borders of the domain are assumed, and some applications are used to illustrate the methods.

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13

Li, Gang, Qingpu Zhang, Zhengqian Feng, and Wei Wang. "A disaster recovery solution based on heterogeneous storage." Journal of Intelligent & Fuzzy Systems 31, no. 4 (September 9, 2016): 2249–56. http://dx.doi.org/10.3233/jifs-169065.

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14

McKechnie, David, Samira Anker, Saraf Zahid, Paul A. Mulheran, Jan Sefcik, and Karen Johnston. "Interfacial Concentration Effect Facilitates Heterogeneous Nucleation from Solution." Journal of Physical Chemistry Letters 11, no. 6 (February 28, 2020): 2263–71. http://dx.doi.org/10.1021/acs.jpclett.0c00540.

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15

Chang, Ke Liang B., Gengia Tsai, John Lee, and Wen-Rong Fu. "Heterogeneous N-deacetylation of chitin in alkaline solution." Carbohydrate Research 303, no. 3 (September 1997): 327–32. http://dx.doi.org/10.1016/s0008-6215(97)00179-1.

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16

Dharmaraja, S. "Transient Solution of a two-processor heterogeneous systems." Mathematical and Computer Modelling 32, no. 10 (November 2000): 1117–23. http://dx.doi.org/10.1016/s0895-7177(00)00194-1.

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17

Shi, Fan, Aaron M. Coffey, Kevin W. Waddell, Eduard Y. Chekmenev, and Boyd M. Goodson. "Heterogeneous Solution NMR Signal Amplification by Reversible Exchange." Angewandte Chemie 126, no. 29 (May 30, 2014): 7625–28. http://dx.doi.org/10.1002/ange.201403135.

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18

Nghi, Nguyen Thanh. "Heterogeneous gas bubble formation during GaP solution growth." Crystal Research and Technology 23, no. 6 (June 1988): 715–22. http://dx.doi.org/10.1002/crat.2170230602.

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19

Shi, Fan, Aaron M. Coffey, Kevin W. Waddell, Eduard Y. Chekmenev, and Boyd M. Goodson. "Heterogeneous Solution NMR Signal Amplification by Reversible Exchange." Angewandte Chemie International Edition 53, no. 29 (May 30, 2014): 7495–98. http://dx.doi.org/10.1002/anie.201403135.

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20

Jakimosk, Kire, Oliver Iliev, Vladimir Bogoevski, and Dejan Kochov. "Cloud-Based Platform Solution for 5G Heterogeneous Networks." International Journal of Future Generation Communication and Networking 9, no. 9 (September 30, 2016): 267–78. http://dx.doi.org/10.14257/ijfgcn.2016.9.9.24.

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21

Massa, L., T. L. Jackson, and M. Short. "Numerical solution of three-dimensional heterogeneous solid propellants." Combustion Theory and Modelling 7, no. 3 (September 2003): 579–602. http://dx.doi.org/10.1088/1364-7830/7/3/308.

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22

Lakshmipriya, Thangavel, Subash C. B. Gopinath, Uda Hashim, and Vikneswaran Murugaiyah. "Multi-analyte validation in heterogeneous solution by ELISA." International Journal of Biological Macromolecules 105 (December 2017): 796–800. http://dx.doi.org/10.1016/j.ijbiomac.2017.07.115.

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23

Kaczmarczyk, Łukasz, Chris J. Pearce, Nenad Bićanić, and Eduardo de Souza Neto. "Numerical multiscale solution strategy for fracturing heterogeneous materials." Computer Methods in Applied Mechanics and Engineering 199, no. 17-20 (March 2010): 1100–1113. http://dx.doi.org/10.1016/j.cma.2009.11.018.

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24

Blanco, Pablo, Paola Gervasio, and Alfio Quarteroni. "Extended Variational Formulation for Heterogeneous Partial Differential Equations." Computational Methods in Applied Mathematics 11, no. 2 (2011): 141–72. http://dx.doi.org/10.2478/cmam-2011-0008.

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AbstractWe address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulation. We will prove the equivalence between the latter formulation and a treatment based on a singular perturbation theory. An exhaustive comparison in terms of solution and computational efficiency between these formulations is carried out.

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25

Kang, Yan, Zhong Min Wang, Ying Lin, and Xiang Yun Guo. "A Hybrid Differential Evolution Scheduling Algorithm to Heterogeneous Distributed System." Applied Mechanics and Materials 631-632 (September 2014): 271–75. http://dx.doi.org/10.4028/www.scientific.net/amm.631-632.271.

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This paper presents a differential evolution algorithm with designed greedy heuristic strategy to solve the task scheduling problem. The static task scheduling problem is NP-complete and is a critic issue in parallel and distributed computing environment. A vector consists of a task permutation assigned to each individual in the target population by using DE mutation and crossover operators. A heuristic strategy is used to generate the feasible solutions as there a lot of infeasible solutions in the solution space as the size of the problem increase. And the strategies of the particle swarm algorithm are employed to modify the DE crossover operator for speeding up the search to optimal solution. And then, the individual is replaced with the corresponding target individual if it is global best or local best in terms of fitness. The performance of the algorithm is illustrated by comparing with the existing effectively scheduling algorithms. The performances of the proposed algorithms are tested on the benchmark and compared to the best-known solutions available. The computational results demonstrate that effectively and efficiency of the presented algorithm.

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26

Tarboush, Abdelrazig K., Jing Ge, and Zhigui Lin. "Asymptotic periodicity in a diffusive West Nile virus model in a heterogeneous environment." International Journal of Biomathematics 10, no. 08 (October 31, 2017): 1750110. http://dx.doi.org/10.1142/s1793524517501108.

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This paper is concerned with a diffusive West Nile virus model (WNv) in a heterogeneous environment. The basic reproduction number [Formula: see text] for spatially homogeneous model is first introduced. We then define a threshold parameter [Formula: see text] for the corresponding diffusive WNv model in a heterogeneous environment. It is shown that if [Formula: see text], the model admits at least one nontrivial T-periodic solution, whereas if [Formula: see text], the model has no nontrivial T-periodic solution. By means of monotone iterative schemes, the true solution can be obtained and the asymptotic behavior of periodic solutions is presented. The paper is closed with some numerical simulations to illustrate our theoretical results.

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27

Wang, Qian, Qingkai Ji, and Chun-Hung Chiu. "Optimal Routing for Heterogeneous Fixed Fleets of Multicompartment Vehicles." Mathematical Problems in Engineering 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/847630.

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We present a metaheuristic called the reactive guided tabu search (RGTS) to solve the heterogeneous fleet multicompartment vehicle routing problem (MCVRP), where a single vehicle is required for cotransporting multiple customer orders. MCVRP is commonly found in delivery of fashion apparel, petroleum distribution, food distribution, and waste collection. In searching the optimum solution of MCVRP, we need to handle a large amount of local optima in the solution spaces. To overcome this problem, we design three guiding mechanisms in which the search history is used to guide the search. The three mechanisms are experimentally demonstrated to be more efficient than the ones which only apply the known distance information. Armed with the guiding mechanisms and the well-known reactive mechanism, the RGTS can produce remarkable solutions in a reasonable computation time.

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28

Hakobyan, V. N., and A. A. Grigoryan. "Anti-Plane Deformation Uniformly Piecewise Homogeneous Space with a Periodic System of Semi-Infinite Internal Cracks." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 2 (206) (June 18, 2020): 13–20. http://dx.doi.org/10.18522/1026-2237-2020-2-13-20.

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In this paper, we have constructed a solution for the problem of antiplane deformation of a uniformly piecewise homogeneous space of two alternately repeating heterogeneous layers of equal thickness from different materials, which are relaxed on their median planes by two semi-infinite, periodic parallel tunneling cracks. A system of defining equations of the problem is derived in the form of a system of two singular equations of the first kind, with respect to contact stresses acting in the contact zones on the median planes of heterogeneous layers, the solution of which, in the general case, is constructed by the method of mechanical quadrature. In the particular case when the cracks in the heterogeneous layers are the same, the solution of the problem is reduced to the solution of two independent equations and their closed solutions are constructed. The defining singular integral equation of the problem is also obtained in the case when there are no cracks in one of the heterogeneous layers. In the general case, a numerical calculation was carried out and patterns of changes in contact stresses and intensity factors of destructive stresses at the end points of cracks were determined depending on the physical and mechanical and geometric parameters of the problem, which are the ratios of the shear moduli of the layers and the ratio of the layer thickness and crack lengths.

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29

Shah, D., and A. Parikh. "MATHEMATICAL SOLUTION OF IMBIBITION PHENOMENON IN VERTICAL HETEROGENEOUS POROUS MEDIUM." Advances in Mathematics: Scientific Journal 10, no. 10 (October 29, 2021): 3349–62. http://dx.doi.org/10.37418/amsj.10.10.6.

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The phenomenon of imbibition is of great importance in the petroleum industry. In this analysis, we have studied the Counter-current imbibition through mathematical modelling in a double non-miscible phase in the vertical heterogeneous porous medium, which ensues in the process of oil recovery. The non-linear partial differential equation of second-order is the result of the mathematical formulation. Variational iteration approach is applied to attain approximate analytical solution of the governing equation. The solution's numerical outcomes and graphical representations are identified with the help of MATLAB.

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30

Molinari, Alain. "Averaging Models for Heterogeneous Viscoplastic and Elastic Viscoplastic Materials." Journal of Engineering Materials and Technology 124, no. 1 (June 18, 2001): 62–70. http://dx.doi.org/10.1115/1.1421052.

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Averaging models are proposed for viscoplastic and elastic-viscoplastic heterogeneous materials. The case of rigid viscoplastic materials is first discussed. Large deformations are considered. A first class of models is based on different linearizations of the nonlinear local response. A second class of models is obtained from approximate solutions of the nonlinear Eshelby problem. In this problem, an ellipsoid with uniform nonlinear properties is embedded in an infinite homogeneous matrix. An approximate solution is obtained by approaching the matrix behavior with an affine response. Using this solution of the nonlinear Eshelby problem, the average strain rate is calculated in each phase of the composite material, each phase being represented by an ellipsoid embedded in an infinite reference medium. By adequate choices of the reference medium, different averaging models are obtained (self-consistent scheme, nonlinear Mori Tanaka model…). Finally, elasticity is included in the modelling, but with a restriction to small deformations.

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31

Ganguly, Sayantan. "Exact Solution of Heat Transport Equation for a Heterogeneous Geothermal Reservoir." Energies 11, no. 11 (October 27, 2018): 2935. http://dx.doi.org/10.3390/en11112935.

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An exact integral solution for transient temperature distribution, due to injection-production, in a heterogeneous porous confined geothermal reservoir, is presented in this paper. The heat transport processes taken into account are advection, longitudinal conduction and conduction to the confining rock layers due to the vertical temperature gradient. A quasi 2D heat transport equation in a semi-infinite porous media is solved using the Laplace transform. The internal heterogeneity of the geothermal reservoir is expressed by spatial variation of the flow velocity and the effective thermal conductivity of the medium. The model results predict the transient temperature distribution and thermal-front movement in a geothermal reservoir and the confining rocks. Another transient solution is also derived, assuming that longitudinal conduction in the geothermal aquifer is negligible. Steady-state solutions are presented, which determine the maximum penetration of the cold water thermal front into the geothermal aquifer.

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32

Xie, Jiang, Changdong Yang, Neha Gupta, Michael J. King, and Akhil Datta-Gupta. "Depth of Investigation and Depletion in Unconventional Reservoirs With Fast-Marching Methods." SPE Journal 20, no. 04 (August 20, 2015): 831–41. http://dx.doi.org/10.2118/154532-pa.

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Summary The concept of depth of investigation is fundamental to well-test analysis. Much of the current well-test analysis relies on solutions based on homogeneous or layered reservoirs. Well-test analysis in spatially heterogeneous reservoirs is complicated by the fact that Green's function for heterogeneous reservoirs is difficult to obtain analytically. In this paper, we introduce a novel approach for computing the depth of investigation and pressure response in spatially heterogeneous and fractured unconventional reservoirs. In our approach, we first present an asymptotic solution of the diffusion equation in heterogeneous reservoirs. Considering terms of highest frequencies in the solution, we obtain two equations: the Eikonal equation that governs the propagation of a pressure “front” and the transport equation that describes the pressure amplitude as a function of space and time. The Eikonal equation generalizes the depth of investigation for heterogeneous reservoirs and provides a convenient way to calculate drainage volume. From drainage-volume calculations, we estimate a generalized pressure solution on the basis of a geometric approximation of the drainage volume. A major advantage of our approach is that one can solve very efficiently the Eikonal equation with a class of front-tracking methods called the fast-marching methods. Thus, one can obtain transient-pressure response in multimillion-cell geologic models in seconds without resorting to reservoir simulators. We first visualize the depth of investigation and pressure solution for a homogeneous unconventional reservoir with multistage transverse fractures, and identify flow regimes from a pressure-diagnostic plot. And then, we apply the technique to a heterogeneous unconventional reservoir to predict the depth of investigation and pressure behavior. The computation is orders-of-magnitude faster than conventional numerical simulation, and provides a foundation for future work in reservoir characterization and field-development optimization.

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33

Zhou, Hong Bo. "An Integration Solution to Heterogeneous Database Based on XML." Advanced Materials Research 791-793 (September 2013): 1450–53. http://dx.doi.org/10.4028/www.scientific.net/amr.791-793.1450.

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Different databases have different structure,how to co-share those heterogeneous database is becoming a challenge to all of us.The current database integration methods is more and more complex, operability is not very strong, the author proposes an XML interchange file to achieve the integration of heterogeneous database program.The system logic structure diagram is given in this paper,major function modules and structure are introduced in detail combined with graphic, and finally the characteristics of the system is summarized.

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34

Kim, Min-Seok, and Yun-Mo Sung. "Successive Solution–Liquid–Solid (SLS) Growth of Heterogeneous Nanowires." Chemistry of Materials 25, no. 21 (October 17, 2013): 4156–64. http://dx.doi.org/10.1021/cm4015018.

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35

Methacanon, Pawadee, Malinee Prasitsilp, Thanawit Pothsree, and Junya Pattaraarchachai. "Heterogeneous N-deacetylation of squid chitin in alkaline solution." Carbohydrate Polymers 52, no. 2 (May 2003): 119–23. http://dx.doi.org/10.1016/s0144-8617(02)00300-4.

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36

Li-can, Huang, Wu Zhao-hui, and Pan Yun-he. "Distributed heterogeneous inspecting system and its middleware-based solution." Journal of Zhejiang University-SCIENCE A 4, no. 5 (September 2003): 542–48. http://dx.doi.org/10.1631/jzus.2003.0542.

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37

Giachino, Marta, Geraud Dubois, and Reinhold H. Dauskardt. "Heterogeneous Solution Deposition of High-Performance Adhesive Hybrid Films." ACS Applied Materials & Interfaces 5, no. 20 (October 4, 2013): 9891–95. http://dx.doi.org/10.1021/am403032v.

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38

Lathasree, S., and B. Siva Sankar. "Heterogeneous Photocatalytic Mineralization of Azo Dye in Aqueous Solution." Asian Journal of Chemistry 27, no. 7 (2015): 2725–28. http://dx.doi.org/10.14233/ajchem.2015.18899.

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39

Azran, J., M. Shimoni, and O. Buchman. "Heterogeneous Catalytic Isotopic Exchange of Benzylic Compounds in Solution." Journal of Catalysis 148, no. 2 (August 1994): 648–53. http://dx.doi.org/10.1006/jcat.1994.1251.

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40

Cyr, J. J., L. Atkinson, and G. A. Haley. "A replicated cluster solution in a heterogeneous psychiatric population." Journal of Clinical Psychology 42, no. 1 (January 1986): 92–99. http://dx.doi.org/10.1002/1097-4679(198601)42:1<92::aid-jclp2270420114>3.0.co;2-2.

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41

Parkhideh, Shahrooz, and A. V. Gafarian. "General solution to many-on-many heterogeneous stochastic combat." Naval Research Logistics 43, no. 7 (October 1996): 937–53. http://dx.doi.org/10.1002/(sici)1520-6750(199610)43:7<937::aid-nav1>3.0.co;2-e.

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42

Gable, Robert A., and M. Lee Manning. "Interdisciplinary Teaming: Solution to Instructing Heterogeneous Groups of Students." Clearing House: A Journal of Educational Strategies, Issues and Ideas 72, no. 3 (January 1999): 182–85. http://dx.doi.org/10.1080/00098659909599624.

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43

Miesch, Christophe, Xavier Briottet, Yann H. Kerr, and François Cabot. "Radiative transfer solution for rugged and heterogeneous scene observations." Applied Optics 39, no. 36 (December 20, 2000): 6830. http://dx.doi.org/10.1364/ao.39.006830.

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44

Eilam, Billie, and Menahem Finegold. "The heterogeneous class: A solution or just another problem?" Studies in Educational Evaluation 18, no. 2 (January 1992): 165–78. http://dx.doi.org/10.1016/0191-491x(92)90015-6.

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Deucher, Ricardo Hüntemann, Paulo Couto, and Gustavo César Rachid Bodstein. "Comprehensive Solution for Transient Flow in Heterogeneous Porous Media." Transport in Porous Media 113, no. 3 (May 28, 2016): 549–66. http://dx.doi.org/10.1007/s11242-016-0710-2.

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46

Farzanian, M., Freydoon Arbabi, and Ronald Pak. "PML solution of longitudinal wave propagation in heterogeneous media." Earthquake Engineering and Engineering Vibration 15, no. 2 (June 2016): 357–68. http://dx.doi.org/10.1007/s11803-016-0328-y.

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47

Bakht, Khush, Furqan Jameel, Zain Ali, Wali Ullah Khan, Imran Khan, Guftaar Ahmad Sardar Sidhu, and Jeong Woo Lee. "Power Allocation and User Assignment Scheme for beyond 5G Heterogeneous Networks." Wireless Communications and Mobile Computing 2019 (November 16, 2019): 1–11. http://dx.doi.org/10.1155/2019/2472783.

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The issue of spectrum scarcity in wireless networks is becoming prominent and critical with each passing year. Although several promising solutions have been proposed to provide a solution to spectrum scarcity, most of them have many associated tradeoffs. In this context, one of the emerging ideas relates to the utilization of cognitive radios (CR) for future heterogeneous networks (HetNets). This paper provides a marriage of two promising candidates (i.e., CR and HetNets) for beyond fifth generation (5G) wireless networks. More specifically, a joint power allocation and user assignment solution for the multiuser underlay CR-based HetNets has been proposed and evaluated. To counter the limiting factors in these networks, the individual power of transmitting nodes and interference temperature protection constraints of the primary networks have been considered. An efficient solution is designed from the dual decomposition approach, where the optimal user assignment is obtained for the optimized power allocation at each node. The simulation results validate the superiority of the proposed optimization scheme against conventional baseline techniques.

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Liu, Huan. "Study on Coordination of Heterogeneous Databases." Applied Mechanics and Materials 608-609 (October 2014): 336–42. http://dx.doi.org/10.4028/www.scientific.net/amm.608-609.336.

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How to coordinate heterogeneous database to realize sharing and consistency of information not only is an important research subject in the database filed, but also is an emerging research hot spot in the field of database system. As a new development direction of computer software, it applies some new techniques to integrate the existing systems to develop new applications. The paper analyzes CSCW, XML, JDBC and heterogeneous database, and proposes a solution of heterogeneous database. The solution absorbs the thoughts of database meta data, middle ware and LDAP directory service.

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Deng, B. Q., Y. F. Qiu, and C. N. Kim. "Analytical Solution for Solute Transport in Semi-Infinite Heterogeneous Porous Media." Defect and Diffusion Forum 312-315 (April 2011): 495–99. http://dx.doi.org/10.4028/www.scientific.net/ddf.312-315.495.

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Solute transport in porous media concerns advection, dispersion, sorption, and reaction. Since porous media is commonly heterogeneous, the properties of porous media are spatially and temporally variable. In this paper, one dimensional unsteady solute transport in semi-infinite heterogeneous porous media is investigated. Both linear and nonlinear decay is considered. Analytical solution is obtained for linear decay with spatially and temporally diffusion coefficient and velocity by using generalized integral transform technique. The inverse integral transforms are developed for the problems in semi-infinite space based on some weighted functions. Some examples are given to show the application of the method and analytical solutions.

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de Araújo, Kennedy Anderson Gumarães, Tibérius de Oliveira e Bonates, and Bruno de Athayde Prata. "The integrated cutting and packing heterogeneous precast beams multiperiod production planning problem." RAIRO - Operations Research 55, no. 4 (July 2021): 2491–524. http://dx.doi.org/10.1051/ro/2021107.

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We introduce a novel variant of cutting production planning problems named Integrated Cutting and Packing Heterogeneous Precast Beams Multiperiod Production Planning (ICP-HPBMPP). We propose an integer linear programming model for the ICP-HPBMPP, as well as a lower bound for its optimal objective function value, which is empirically shown to be closer to the optimal solution value than the bound obtained from the linear relaxation of the model. We also propose a genetic algorithm approach for the ICP-HPBMPP as an alternative solution method. We discuss computational experiments and propose a parameterization for the genetic algorithm using D-optimal experimental design. We observe good performance of the exact approach when solving small-sized instances, although there are difficulties in finding optimal solutions for medium and large-sized problems, or even in finding feasible solutions for large instances. On the other hand, the genetic algorithm is shown to typically find good-quality solutions for large-sized instances within short computing times.

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