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Academic literature on the topic 'Darcy's Law'

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Published: 4 June 2021
Last updated: 6 September 2023

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Journal articles on the topic "Darcy's Law"

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Cui, Jing Wen, Zhi Shang Liu, and Yu Chen Zhang. "Study on the Generalized Darcy's Law for Bingham and Herschel-Bulkley Fluids." Applied Mechanics and Materials 433-435 (October 2013): 1933–36. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.1933.

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Extra-heavy oil, polymer solution and some drilling fluids are typical non-Newtonian Herschel-Bulkley fluids, which behave as sheer-thinning with yield stress. In this paper, the Generalized Darcy's law for Herschel-Bulkley fluids flow in porous media was formulated, by the same way formulating the Generalized Darcy's Law for Bingham fluids. Then, the applications of the two type flow models were compared; Bingham type model was still widely applied due to its conciseness and relatively satisfied accuracy. In addition, the Generalized Darcys Law was revised to describe thixotropic non-Newtonian fluids conceptually.
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Grillo, Alfio, Melania Carfagnay, and Salvatore Federicoz. "The Darcy-Forchheimer law for modelling fluid flow in biological tissues." Theoretical and Applied Mechanics 41, no. 4 (2014): 283–322. http://dx.doi.org/10.2298/tam1404281g.

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The motion of the interstitial uid of a biological tissue is studied by employing the Darcy-Forchheimer law, a correction to standard Darcy's law. The tissue is modelled as a saturated biphasic medium comprising the fluid and a deformable matrix. The reason for undertaking this study is that a description of the tissue's dynamics based on the Darcy-Forchheimer law might be more complete than the one based on Darcy's law, since the former provides a better macroscopic representation of the microscopic fluid-solid interactions. Through numerical simulations, we analyse the influence of the Forchheimer's correction.
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Olsen, Harold W. "Osmosis: a cause of apparent deviations from Darcy's law." Canadian Geotechnical Journal 22, no. 2 (May 1, 1985): 238–41. http://dx.doi.org/10.1139/t85-032.

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Recent evidence for deviations from Darcy's law at very low gradients provides a reminder that the origin of similar deviations reported during the last three decades has not been fully clarified. In most of these studies, the potential significance of osmosis was not considered. This review of the existing evidence shows that osmosis causes intercepts in flow rate versus hydraulic gradient relationships that are consistent with the observed deviations from Darcy's law at very low gradients. Moreover, it is suggested that a natural cause of osmosis in laboratory samples could be chemical reactions such as those involved in aging effects. This hypothesis is analogous to the previously proposed occurrence of electroosmosis in nature generated by geochemical weathering reactions. Key words: Darcy's law, non-Darcy flow, hydraulic intercept, threshold gradient, osmosis.
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LIONS, J. L. "Remarks on Darcy's Law." IMA Journal of Applied Mathematics 46, no. 1-2 (1991): 29–38. http://dx.doi.org/10.1093/imamat/46.1-2.29.

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Narasimhan, T. N. "Darcy's Law and Unsaturated Flow." Vadose Zone Journal 3, no. 4 (November 1, 2004): 1059. http://dx.doi.org/10.2113/3.4.1059.

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Narasimhan, T. N. "Darcy's Law and Unsaturated Flow." Vadose Zone Journal 3, no. 4 (November 2004): 1059. http://dx.doi.org/10.2136/vzj2004.1059.

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Ochoa-Tapia, J. Alberto, Francisco J. Valdes-Parada, and Jose Alvarez-Ramirez. "A fractional-order Darcy's law." Physica A: Statistical Mechanics and its Applications 374, no. 1 (January 2007): 1–14. http://dx.doi.org/10.1016/j.physa.2006.07.033.

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Gladkov, S. O. "Microscopic derivation of Darcy's law." Russian Physics Journal 41, no. 10 (October 1998): 969–74. http://dx.doi.org/10.1007/bf02514466.

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BERNARDI, C., and O. PIRONNEAU. "SENSITIVITY OF DARCY'S LAW TO DISCONTINUITIES." Chinese Annals of Mathematics 24, no. 02 (April 2003): 205–14. http://dx.doi.org/10.1142/s0252959903000189.

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Meirmanov, Anvarbek. "Darcy's law for a compressible thermofluid." Asymptotic Analysis 58, no. 4 (2008): 191–209. http://dx.doi.org/10.3233/asy-2008-0881.

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Dissertations / Theses on the topic "Darcy's Law"

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Welsh, Wendy Denise, and wendywelsh@yahoo com au. "Groundwater balance modelling with Darcy's Law." The Australian National University. Faculty of Science, 2007. http://thesis.anu.edu.au./public/adt-ANU20070703.165654.

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The sustainability of groundwater resources is important for the environment, the economy and communities where surface water is scarce. It is a hidden resource, but additional information can be extracted by combining groundwater measurements and lithological information with groundwater flow equations in groundwater models. The models convert data and knowledge about the groundwater systems into information, such as relative inflow and outflow rates and water-level predictions that can be readily understood by groundwater managers. ¶ The development of models to effectively inform groundwater management policies is, however, a complex task that presents a fundamental scientific challenge. This thesis presents methods and results for water balances calculated using groundwater flow models. Groundwater flow modelling methods and approaches are discussed, and their capabilities and limitations are reviewed. Two groundwater systems are studied for the Great Artesian Basin (GAB) and for the irrigation area near Bowen, Queensland. Three approaches to water balance modelling are applied in comprehensive model-development frameworks that take into account model objectives, data and knowledge availability and sensitivity analysis techniques. The three models show numerical methods of increasing complexity. The Bowen study area is well-suited to the least-complex method because data collection has been a priority there. As a contrast, the GAB is a large, poorly-monitored basin for which more knowledge of the groundwater system can be gained from its simulation by the steady state and transient groundwater flow models. The Bowen impact assessment model calculates dynamic historical water balances. The GAB aquifer models are high-complexity representations of the groundwater system that include predicted responses of the system to changes in hydrological conditions. These are comprehensive and well-documented attempts to model these systems. They provide a platform for scenario investigation and future improvements. ¶ Darcy’s Law was used in a GIS (Geographic Information System) to calculate dynamic water balances for an aquifer near the Queensland town of Bowen. This is the first time this approach has been applied to generate a complete groundwater balance. Over the period 1989-1997 the model estimates average total inflows to be 87 % groundwater recharge by rainfall and irrigation return flow, 12 % river recharge and 1 % inflow across the study area boundary. Outflows are estimated to be 66 % evapotranspiration, 28 % water bore discharge, 4 % discharge to the ocean and 2 % groundwater loss to rivers. Analyses show that evapotranspiration is the most uncertain parameter value. The GIS method was found to be useful for calculating water balances more accurately than analytical methods, because of their simplifying assumptions, and less time consuming than the more complex numerical models developed for the GAB aquifer. ¶ For the GAB, a steady state numerical model was developed and tested and predictive scenarios were run. The purpose of this modelling was both to gain a better understanding of the water balance of the GAB and to provide a tool that could predict water level recoveries under different bore rehabilitation scenarios. The model complexity is greater than in any previous numerical groundwater model of the GAB. In particular, the model uses more data, extends over a larger area and uses a generally finer discretisation than previous models. For the nearest surface artesian aquifer in 1960 the model estimates total inflows to be 60 % groundwater recharge and 40 % diffuse vertical inter-aquifer leakage. The model estimates outflows to be 53 % diffuse vertical leakage, 43 % water bore discharge, 3 % spring discharge and 1 % discharge to the ocean. Analyses show that the model is most sensitive to changes in horizontal hydraulic conductivity and recharge. The model-predicted heads match field measurements with a Scaled RMS error of 0.8 %, which is well within the guideline error of 5 %. The predictive scenarios show net vertical leakage into the aquifer decreasing and net vertical leakage out of the aquifer increasing, as bore flows are reduced. These estimates of inflows and outflows complement other studies of the Basin and add to our understanding of its hydrodynamics. In this way the water balance helps provide a sound basis for the development of GAB groundwater management plans and policies. Through its water level recovery predictions, the model has also been used to support the GAB Sustainability Initiative. ¶ A transient numerical model of the GAB was also developed and tested, and predictive scenarios were run. This model builds on the steady state model, and is more complex, with a calibration period (1965-1999) that is longer than in any previous GAB model. During calibration the model observations were expressed and weighted so that the minimisation of the objective function reflected the relative importance of the model’s potential uses, these being respectively: to simulate the impact of changing bore flows, to more generally inform water management plans and to provide an estimate of the water balance. It was found that the 1960 steady state assumption was not correct. Discluding anthropogenic discharge, the model is most sensitive to recharge and hydraulic conductivity. The model-predicted heads match field measurements with a Scaled RMS error of 2.7 %, which is well within the guideline error of 5 %, but the increased data requirements of the transient model highlighted deficiencies in the data available for the modelling. In particular, the uneven spread of the groundwater measurements over both time and space, the questionable accuracy of measurements from both high temperature and pressure bores, and corroded bores, and the type of discharge measured (for example, maximum yield or flow-as-found), became evident during the calibration of the model. Insights and the value of this work indicates for the first time that at the start of 2005 outflows were estimated to exceed inflows by 266 GL/year, or 62 % of total inflows, and, assuming that inflows through the aquifer’s boundary will not be reduced due to climate change, it will be possible to recover some of the lost groundwater pressure if all stock and domestic bores are rehabilitated and new extractions are limited. In this case the modelling estimates that inflows could exceed outflows by up to 40 % of total outflows.
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Punpocha, Mahosut. "Flow in a porous medium driven by differential heating." Thesis, City University London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340050.

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Hood, Jonathan Patrick. "Changes in Oriented Strandboard Permeability During Hot-Pressing." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/10049.

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Convective heat transfer during hot pressing in wood-based composite panel manufacturing is widely accepted as the most important means of heat transport for resin curing. The rate of convective heat transfer to the panel core is controlled by its permeability. Permeability in the plane of the panel also controls the flow of vapor to the panel edges, thereby influencing the potential for panel "blowing". This research considers how flake thickness, flake alignment and changing mat density during hot-pressing influences OSB mat permeability, through its thickness and in the plane of the panel. Some previous research exists but it fails to address the affects of horizontal and vertical density gradients as well as flake alignment. An apparatus was designed to allow cold pressing of aligned flakes to desired densities while enabling permeability measurements through the mat thickness. An additional apparatus was designed to allow the measuring of permeability in the plane of the mat. These designs permitted permeability measurements in mats that had no vertical density gradient, allowing for the direct study of permeability versus density (compaction ratio). Superficial permeability was determined using Darcy's law and for each sample, multiple readings were made at five different pressure differentials. Permeability through the mat thickness was highly dependent on compaction ratio and to a lesser extent flake thickness. As the compaction ratio is increased, the initial reduction in permeability is severe, once higher compaction ratios are achieved the reduction in permeability is less pronounced. Permeability decreased with decreasing flake thickness. Permeability in the plane of the mat decreases with increasing compaction ratio but in a less severe manner than through the mat thickness. In this case, the permeability-compaction ratio relationship appears linear in nature. Again, permeability decreases with decreasing flake thickness.
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Arimoto, Shinichi. "Numerical method for coupled analysis of Navier-Stokes and Darcy flows." Kyoto University, 2018. http://hdl.handle.net/2433/232352.

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Kyoto University (京都大学)
0048
新制・課程博士
博士(農学)
甲第21151号
農博第2277号
新制||農||1059(附属図書館)
学位論文||H30||N5125(農学部図書室)
京都大学大学院農学研究科地域環境科学専攻
(主査)教授 村上 章, 教授 川島 茂人, 教授 藤原 正幸
学位規則第4条第1項該当
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Franks, Susan J. "Mathematical modelling of tumour growth and stability." Thesis, Nottingham Trent University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366363.

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Tangpithakkul, Rawee. "Study of permeability of pavement base materials." Ohio University / OhioLINK, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1184344573.

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Zafar, Saleem. "Strength and hydraulic conductivity characteristics of roller compacted concrete." Ohio : Ohio University, 1997. http://www.ohiolink.edu/etd/view.cgi?ohiou1184617589.

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Mattos, Tiago Souza. "Avaliação do impacto da substituição de pastagem por eucalipto na recarga de aquífero freático." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/18/18138/tde-14082015-144441/.

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As plantações florestais, historicamente, estão associada a intensos debates sobre o seu impacto na dinâmica da água do solo ou subterrânea. Nesse contexto, este trabalho buscou avaliar os possíveis impactos da mudança de cobertura do solo, de pastagem para eucalipto, sobre o aquífero freático em zona de afloramento do Sistema Aquífero Guarani. A área de pesquisa está localizada na bacia do Ribeirão da Onça, situada no município de Brotas, no centro-leste do Estado de São Paulo. Essa é monitorada desde 2004. Foram utilizados dois métodos para avaliar o impacto da mudança de uso do solo, o método iWTF e o método de Darcy. A partir desses métodos, estimou-se as taxas de recarga subterrânea, fluxo lateral, variação de armazenamento e percolação profunda. Além disso foram obtidas a variação do nível freático, espessura saturada e gradiente hidráulico horizontal para o aquífero na área de estudo. Durante os anos hidrológicos de 2005 a 2011, a recarga direta variou de 255 e 876 mm (iWTF), equivalente a 21% e 51% da precipitação anual correspondente. Após 2011, com a mudança de cobertura do solo de pastagem para eucalipto, não obstante os anos hidrológicos de 2012 e 2013 apresentarem precipitação próxima da média de longo período, a recarga direta foi estimada em cerca de 210 mm (2012) e 147 mm (2013), equivalentes a 13% e 10% da precipitação anual. A diminuição na recarga direta levou à redução da espessura saturada, variação do nível freático, gradiente hidráulico horizontal, fluxo lateral e armazenamento anual. Além disso, pode-se perceber que a plantação florestal está exercendo influência sobre a área de pastagem adjacente à plantação. Tem-se observado essa influência através da existência de fluxo transversal em direção à plantação florestal, o qual tem elevado o armazenamento no período de estiagem. Os resultados indicam que a plantação de eucalipto afetou significativamente o comportamento sazonal e anual do balanço hídrico na área de estudo.
Historically forest plantations are associated with intense debate about its impact on soil water dynamics or groundwater. Thus, the objective of this study was to evaluate the potential impacts of land cover change of pasture to eucalyptus on the groundwater in an outcrop zone of the Guarani Aquifer System. The study area is located in the Ribeirão da Onça watershed, located in the municipality of Brotas, in the center-east of the state of São Paulo. To assess the impact of land cover change, I used two methods: i. iWTF and ii. Darcy. From these methods, we estimated groundwater recharge rates, lateral flow, water storage variation and deep percolation. Furthermore, I obtained the water table variation, saturated thickness and horizontal hydraulic gradient into the aquifer in the study area. During the hydrological years 2005-2011, the direct recharge through the results of iWTF method varied between 256 and 876 mm, equivalent to 21% and 51% of the corresponding annual precipitation. After 2011, with the land cover change of pasture to eucalyptus, the direct recharge was computed at about 210 mm (2012) and 147 mm (2013), equivalent to 13% and 10% of the annual precipitation. I did not find significant difference in the annual precipitation in these years compared to the historical mean. Therefore, my findings have shown that the decrease of direct recharge are associated to the land cover change of pasture to eucalypts. The decrease in direct recharge leads to the reduction of saturated thickness, the water level variation, horizontal hydraulic gradient, lateral flow and annual storage. Moreover, it can be seen that the forest plantation has influenced the pasture area, adjacent to the plantation. It has been observed that influence through the existence of cross flow toward the forest plantation, which has high storage, especially in the dry season. The results indicate that the eucalyptus plantation significantly affected the seasonal and annual behavior of the water balance in the study area.
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Erdmann, Robert Gerald. "Image-Based Numerical Simulation of Stokes Flow in Porous Media." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195724.

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Numerical models for the simulation of longitudinal and transverse Stokes flow in cylindrical periodic porous media are presented. The models, which are based on a finite-volume formulation in primitive variables, utilize digital image representations of the geometries to simulate, making them particularly well-suited for the rapid automated analysis of creeping flow in porous media with complex morphologies. Complete details of the model formulations are given, including extensive treatment of the pressure boundary conditions at the solid-liquid interface needed to guarantee convergence with all possible geometries. The convergence behavior of both models is tested, and the models are shown to be second-order accurate.The models are used to simulate flow over the whole range of volume fractions of liquid in several regular geometries. The longitudinal model is used to simulate flow in square arrays of circular and square ducts, and both models are used to simulate flow in square and hexagonal arrays of circular cylinders and square arrays of square cylinders rotated by varying amounts. For each of the geometries, accurate empirical expressions for the Darcy permeability as a function of volume fraction solid are presented. Where applicable, model predictions of permeability are compared to existing analytical results.Subsequently, the models are used to simulate Stokes flow in random domains over a wide range of fractions liquid. The sequential random packing algorithm is used to generate 1,000 random packings of circular cylinders at each of 14 fractions of liquid, and longitudinal and transverse flow simulations are performed for each geometry. Histograms and summary statistics are computed for the permeability for each fraction liquid, and empirical expressions for mean permeability as a function of fraction liquid are given. The autocorrelation structure of the geometry and of the fluid velocity is analyzed, and an analysis of the scaling of longitudinal permeability variance is presented. In transverse flow at high packing densities, it is found that lightning-like patterns emerge in the fluid velocity. It is also found that the details of flows in such geometries are strongly sensitive to the placement of individual solid obstacles.
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Hendrick, Angus Greer. "Effects of domain size on transverse permeability through random arrays of cylinders." Thesis, The University of Arizona, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3592730.

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Researchers using Darcy's law to model flow in porous media must satisfy the requirement for sufficient scale separation between the pore scale and the model scale. This requirement is analogous to that for any continuum model, where application is restricted to scales larger than the underlying discrete structure. In the case of Darcy's law when the model scale becomes too small, the measurement of the permeability—the material property required to close the relationship—becomes polluted by the boundary conditions, either physical or numerical. The requirements for adequate scale separation to obtain permeability measurements (also known as satisfying the conditions for a representative elementary volume, or REV, for permeability) have not been previously reported. Likewise, the behavior of Darcy models when applied at sub-REV length scales has not been reported.

Here, the results of Stokes simulations of transverse flow in 90,000 sequential random packings of monodisperse cylinders at a variety of liquid fractions and averaging-volume sizes show that approximately 200 cylinders must be present in an averaging volume before the effects of periodic boundary conditions on the Stokes simulations (the conventional choice for permeability measurements using Stokes flow) are no longer evident in the measured permeability. Direct comparisons between flow predictions from a two-dimensional, tensor-based Darcy model and a Stokes model for additional 10,000 domains show that the Darcy model is an unbiased predictor of the flow distribution in the system, even when the permeability is expected to contain boundary-condition artifacts. Though unbiased, the Darcy models do show considerable reduction in accuracy as the model scale shrinks toward the pore scale, with significant declines observed after the side length of a square averaging volume reaches 10 times the cylinder diameter. Finally, a novel approach for visualizing flows using the linear properties of the Stokes equations shows how the periodic boundary conditions affect the flow, and motivates the development of a generalized approach for obtaining permeability that does not require periodic boundary conditions. Modest improvements in the Darcy model relative to the actual Stokes flow result when the new approach is used to obtain permeability at small averaging volumes.

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Books on the topic "Darcy's Law"

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Mongan, Charles E. Validity of Darcy's law under transient conditions. [Reston, Va.?]: U.S. Dept. of the Interior, U.S. Geological Survey, 1985.

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Pierson, C. Allyn. Mr. Darcy's little sister. Naperville, Ill: Sourcebooks Landmark, 2010.

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Dudgeon, C. R. Non-Darcy flow of groundwater. Manly Vale, N.S.W: University of New South Wales, Water Research Laboratory, 1985.

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Architettura dell'indicibile: Due memoriali della Shoah : Milano e Darcy. Milano: Christian Marinotti edizioni, 2018.

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Pierson, C. Allyn. Mr. Darcy's Little Sister. Sourcebooks, Incorporated, 2010.

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Pierson, C. Allyn. Mr. Darcy's Little Sister. Sourcebooks, Incorporated, 2010.

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Jane, Austen, and C. Allyn Pierson. Mr. Darcy's Little Sister. Sourcebooks, Incorporated, 2010.

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Pierson, C. Allyn. Mr. Darcy's Little Sister. Sourcebooks, Incorporated, 2010.

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Bond, W. Soil Physical Methods for Estimating Recharge - Part 3. CSIRO Publishing, 1998. http://dx.doi.org/10.1071/9780643105355.

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Measurements in and just below the plant root zone, using principles of soil physics, can be used to estimate recharge. This booklet describes the Zero Flux Plane Method, Methods Based on Darchy's law, and Lysimetry for making such estimates. The work presents the basic concepts of soil water physics that will be referred to in this and other booklets in the series. Another method, the Soil Water Flux Meter, is discussed briefly, but as this is not sufficiently well developed for routine use readers are referred elsewhere for full details. All these methods require that consideration be given to interpolation over time and spatial extrapolation or averaging. A brief discussion of this is given.
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Cormier, Robert. Darcy. Orion Publishing Co, 1991.

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Book chapters on the topic "Darcy's Law"

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Kumar, Rohitashw, Vijay P. Singh, and Munjid Maryam. "Verification of Darcy's Law." In Laboratory Manual for Groundwater, Wells, and Pumps, 3–12. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003319757-2.

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Verruijt, Arnold. "Darcy’s Law." In An Introduction to Soil Mechanics, 49–58. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61185-3_6.

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Macciotta, Renato. "Darcy’s Law." In Selective Neck Dissection for Oral Cancer, 1. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-12127-7_79-1.

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Macciotta, Renato. "Darcy’s Law." In Encyclopedia of Earth Sciences Series, 205–6. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73568-9_79.

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Christensen, Douglas A. "Darcy’s Law: Pressure-Driven Transport Through Membranes." In Introduction to Biomedical Engineering, 15–26. Cham: Springer International Publishing, 2009. http://dx.doi.org/10.1007/978-3-031-01636-3_2.

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Wang, Chi-Yuen, and Michael Manga. "Groundwater Flow and Transport." In Lecture Notes in Earth System Sciences, 9–22. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64308-9_2.

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AbstractWe summarize the basic principles of, and governing equations for, groundwater flow and transport. Topics covered include the concepts of pressure and hydraulic head, Darcy’s law, permeability, and storage. We compare saturated and unsaturated flow. We provide an introduction to heat and solute transport.
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Schimanek, Robert, Muhammed Aydemir, Alexander Müller, and Franz Dietrich. "Flow Modeling for Vacuum Pressure-Based Handling of Porous Electrodes of Lithium-Ion Batteries." In Annals of Scientific Society for Assembly, Handling and Industrial Robotics 2022, 305–15. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-10071-0_25.

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AbstractIn lithium-ion battery (LIB) production, limp electrodes are handled gently by vacuum-pressure based handling and transport systems, which generate a fluid flow that propagates through the porous electrode coating during handling. To investigate the limits and material-damaging behavior of vacuum pressure-based handling, it is required to understand how process parameters and electrode qualities affect fluid flow. Questions on how fluid flow reduces electrode quality are insufficiently addressed or modeled. Modeling the electrode and handling system interaction requires knowledge of the effective surface geometry and the volumetric flow rate caused by the pressure difference. In this article, flow through porous electrode coatings during handling is modeled. Experiments demonstrate a flow behavior according to the generalized Darcy’s law. Thus, using Darcy’s law, modeling fluid flow through the electrode improves the exploration of the limits and design of vacuum pressure-based handling and transport of electrodes in LIB production.
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Whitaker, Stephen. "Single-Phase Flow in Homogeneous Porous Media: Darcy’s Law." In The Method of Volume Averaging, 161–80. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-3389-2_4.

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Krishna Prasad, M. "Non-Newtonian Fluid Flow Past a Porous Sphere Using Darcy’s Law." In Numerical Heat Transfer and Fluid Flow, 203–9. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1903-7_24.

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Liu, Hui-Hai. "Generalization of Darcy’s Law: Non-Darcian Liquid Flow in Low-Permeability Media." In Fluid Flow in the Subsurface, 1–43. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43449-0_1.

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Conference papers on the topic "Darcy's Law"

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Coffey, P. J. E., and J. B. Connor. "Verification of Darcy's Law." In Great River History Symposium at World Environmental and Water Resources Congress 2009. Reston, VA: American Society of Civil Engineers, 2009. http://dx.doi.org/10.1061/41032(344)8.

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Goodarzi, M., C. Y. Kwok, L. G. Tham, and F. Chen. "Fluid coupling in DEM simulation using Darcy's law: Formulation, and verification." In POWDERS AND GRAINS 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. AIP, 2013. http://dx.doi.org/10.1063/1.4812136.

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Macini, Paolo, and Ezio Mesini. "Darcy's Law from Water to the Petroleum Industry: When and Who?" In Symposium to Honor Henry Philibert Caspard Darcy. Reston, VA: American Society of Civil Engineers, 2003. http://dx.doi.org/10.1061/40683(2003)8.

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Groenevelt, P. H. "The Place of Darcy's Law in the Framework of Non-Equilibrium Thermodynamics." In Symposium to Honor Henry Philibert Caspard Darcy. Reston, VA: American Society of Civil Engineers, 2003. http://dx.doi.org/10.1061/40683(2003)7.

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Xu, Ziyao, and Yang Yang. "The Hybrid-Dimensional Darcy's Law: A Non-Conforming Reinterpreted Discrete Fracture Model (RDFM) for the Compressible Miscible Displacement and Multicomponent Gas Flow in Fractured Media." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212164-ms.

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Abstract In this work, we develop a non-conforming reinterpreted discrete fracture model for the compressible miscible displacement and multicomponent gas flow in porous media containing high-permeability fractures and/or low-permeability barriers based on the hybrid-dimensional Darcy's law established in our previous work. The key idea of the model is to describe the permeability of codimension-one fractures and barriers by the Dirac-delta functions. When there are only fractures, delta functions are added to the permeability tensor on the right-hand side of the Darcy's law. In contrast, when there are only barriers, delta functions are added to the inverse of the permeability tensor, which represents the resistance to fluids, on the left-hand side of the Darcy's law. When both appear, delta functions are contained on both sides by the principle of superposition. Thereby, we establish partial differential equations (PDEs) to model fluid flow in fractured porous media, which exempts any requirements on meshes. We adopt the discontinuous Galerkin (DG) method to discretize the model in space and the second order implicit pressure explicit concentration (SIMPEC) method to march in time. The resulting non-conforming discrete fracture model is local mass conservative, flexible for complex geometry and easy to implement. The good performance of the method is demonstrated by several numerical examples.
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Loáiciga, Hugo A. "The Importance of Using Probabilistic Effective Hydraulic Conductivity in Darcy's Law and Groundwater Flow Calculations." In World Environmental and Water Resources Congress 2008. Reston, VA: American Society of Civil Engineers, 2008. http://dx.doi.org/10.1061/40976(316)80.

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Xu, Jianlong, and Bhavani V. Sankar. "Prediction of Gas Permeability Through Multiple-Ply Composite Laminates." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13690.

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Polymer matrix composites are candidate materials for cryogenic tanks for Crew Exploration Vehicles and Crew Launch Vehicles planned by NASA for future space missions. However gas leakage through microcracks and delaminations remains as a critical problem that needs to be solved. In the present work, gas permeability mechanism through multiple ply laminates is investigated. Different from the through matrix cracks in cross ply laminates, stitch cracks are observed in angle-ply laminates during experimentation. Stacking sequences [0/θn/90]s are investigated. From experimental observations presented in the literature, stitch cracks seem to develop in angle plies depending on the value of θ and n. A representative volume element (RVE) is analyzed by three-dimensional finite element method (FEM). Two methods are used to calculate the energy release rate: three-dimensional J-integral by ABAQUS 6.5™ and strain energy difference of RVEs before and after crack propagation. Based on energy release rate, the mechanisms and other parameters that control the creation and propagation of stitch cracks are investigated. The results will lead to the development of a relation between loads and the number of stitch cracks and their lengths. The permeation model is based on Darcy's law for porous materials. By integrating Darcy's law in the thickness direction of the composite laminate, the gas permeability can finally be expressed in terms of crack densities and crack opening displacements (COD). Three-dimensional FE analyses will be performed to find out COD for a given crack density and crack length. The results for gas permeability obtained through the simulations will be compared to the experimental results of cross ply laminates from previous work to understand the effects of laminate configuration on gas permeability.
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Zhang, Man, and Mark Beeman. "An Empirical Inlet Pressure Recovery Model for Engine Inlet Barrier Filters for Rotorcraft Applications." In Vertical Flight Society 76th Annual Forum & Technology Display. The Vertical Flight Society, 2020. http://dx.doi.org/10.4050/f-0076-2020-16328.

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From the Navier-Stokes momentum equation, this paper presents the application of Darcy's law for flows at moderate Reynolds numbers and thin filter media in the development of an empirical model of engine inlet total pressure recovery for rotorcraft (helicopters in particular) equipped with an Engine Inlet Barrier Filter (EIBF). The assumptions and limitations of the empirical model are discussed. The model treats the inlet filter media, structural features, and geometry as an integrated entity and has been validated using flight test data for three inlet configurations. The validation has been performed by directly comparing the model-predicted inlet recovery map with inlet total pressure measurements. The potential applications of the model are also discussed.
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Li, Y., X. Li, J. Shi, H. Wang, L. Wu, and S. Teng. "A Nano-Pore Scale Gas Flow Model for Shale Gas Reservoir." In SPE Energy Resources Conference. SPE, 2014. http://dx.doi.org/10.2118/spe-169939-ms.

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AbstractMany shale/tight gas reservoirs can have pore scale values in the range from one to hundreds of nanometer. And the flow in nano-scale deviate the Darcy's law. Knudsen diffusion and/or gas slippage effects usually have modeled to character the non-Darcy flow mechanisms by many authors.In this paper, we investigate the non-Darcy flow mechanisms in unconventional gas reservoirs, and classify these various mechanisms based on different pore scale and pressure. Then, based on the change of pore scale and pressure, the models of gas flow that consider the absorption, desorption, slip flow, transition flow, Knudsen diffusion and continuous flow in nano-pore have been proposed to evaluate the flow character. Then, the relationship between the absorbed layers and pressure or Langmuir coefficient has been built and the influences of absorption of gas molecule have been studied on the permeability change. Compared with experimental value, the model could agree with the experimental value very well. And, desorption of the absorbed layers make the pore diameter become larger. When the thickness of the absorbed layers and the pore diameter ratio is larger than 0.1, the effect of adsorbed layer becomes very significant.With this study, the change of permeability and the gas rate on entire long term production performance could be understood better and predicted, and it is very important for the optimization of production performance and adjustment.
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Qiao, Yangyang, Pål Østebø Andersen, and Sadegh Ahmadpour. "Effective Relative Permeabilities Based on Momentum Equations with Brinkmann Terms and Viscous Coupling." In SPE EuropEC - Europe Energy Conference featured at the 84th EAGE Annual Conference & Exhibition. SPE, 2023. http://dx.doi.org/10.2118/214388-ms.

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Abstract The relative permeability expresses the mobility reduction factor when a fluid flows through a porous medium in presence of another fluid and appears in Darcy's law for multiphase flow. In this work, we replace Darcy's law with more general momentum equations accounting for fluid-rock interaction (flow resistance), fluid-fluid interaction (drag) and Brinkmann terms responding to gradients in fluid interstitial velocities. By coupling the momentum equations with phase transport equations, we study two important flow processes: forced imbibition (core flooding) and counter-current spontaneous imbibition. In the former a constant water injection rate is applied, and capillary forces neglected, while in the latter, capillary forces drive the process, and the total flux is zero. Our aim is to understand what relative permeabilities result from these systems and flow configurations. From previous work, when using momentum equations without Brinkmann terms, unique saturation dependent relative permeabilities are obtained for the two flow modes that depend on the flow mode. Now, with Brinkmann terms included the relative permeabilities depend on local spatial derivatives of interstitial velocity and pressure. Local relative permeabilities are calculated for both phases utilizing the ratio of phase Darcy velocity and phase pressure gradient. In addition, we utilize the JBN method for forced imbibition to calculate relative permeabilities from pressure drop and average saturation. Both flow setups are parameterized with literature data and sensitivity analysis is performed. During core flooding, Brinkmann terms give a flatter saturation profile and higher front saturation. The saturation profile shape changes with time. Local water relative permeabilities are reduced, while they are slightly raised for oil. The saturation range where relative permeabilities can be evaluated locally is raised and made narrower with increased Brinkmann terms. JBN relative permeabilities deviate from the local values: the trends in curves and saturation range are the same but more pronounced as they incorporate average measurements including the strong impact at the inlet. Brinkmann effects vanish after sufficient distance traveled resulting in the unique saturation functions as a limit. Unsteady state relative permeabilities (based on transient data from single phase injection) differ from steady state relative permeabilities (based on steady state data from co-injection of two fluids) because the Brinkmann terms are zero at steady state. During spontaneous imbibition, higher effect from the Brinkmann terms caused oil relative permeabilities to decrease at low water saturations and slightly increase at high saturations, while water relative permeability was only slightly reduced. The net effect was a delay of the imbibition profile. Local relative permeabilities approached the unique saturation functions without Brinkmann terms deeper in the system because phase velocities (involved in the Brinkmann terms) decrease with distance. In both systems, scaling and simulations demonstrate that the relative change in relative permeabilities due to Brinkmann terms increases with Brinkmann coefficient, permeability and inverse squared distance from the inlet.
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Reports on the topic "Darcy's Law"

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Lohne, Arild, Arne Stavland, Siv Marie Åsen, Olav Aursjø, and Aksel Hiorth. Recommended polymer workflow: Interpretation and parameter identification. University of Stavanger, November 2021. http://dx.doi.org/10.31265/usps.202.

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Injecting a polymer solution into a porous medium significantly increases the modeling complexity, compared to model a polymer bulk solution. Even if the polymer solution is injected at a constant rate into the porous medium, the polymers experience different flow regimes in each pore and pore throat. The main challenge is to assign a macroscopic porous media “viscosity” to the fluid which can be used in Darcy law to get the correct relationship between the injection rate and pressure drop. One can achieve this by simply tabulating experimental results (e.g., injection rate vs pressure drop). The challenge with the tabulated approach is that it requires a huge experimental database to tabulate all kind of possible situations that might occur in a reservoir (e.g., changing temperature, salinity, flooding history, permeability, porosity, wettability etc.). The approach presented in this report is to model the mechanisms and describe them in terms of mathematical models. The mathematical model contains a limited number of parameters that needs to be determined experimentally. Once these parameters are determined, there is in principle no need to perform additional experiments.
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2

Subsurface flow to Eagle Valley from Vicee, Ash, and Kings Canyons, Carson City, Nevada, estimated from Darcy's law and the chloride-balance method. US Geological Survey, 1996. http://dx.doi.org/10.3133/wri964088.

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