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Journal articles on the topic 'Darcy's Law'

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Published: 4 June 2021

Last updated: 6 September 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Chabi, E., and G. Michaille. "Random Dirichlet problem: Scalar darcy's law." Potential Analysis 4, no. 2 (April 1995): 119–40. http://dx.doi.org/10.1007/bf01275586.

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12

Trochu, F., and R. Gauvin. "Some Issues about the Numerical simulation of Mold Filling in Resin Transfer Molding." Advanced Composites Letters 1, no. 1 (January 1992): 096369359200100. http://dx.doi.org/10.1177/096369359200100111.

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The resin impregnation of the fibrous reinforcement in resin transfer molding (RTM) is usually modeled as a flow through a porous medium (Darcy's law). In our model, Darcy equation is solved numerically at each time step using non-conforming finite elements on a fixed grid.

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13

Abdalla, O. A. E. "Evapotranspiration computed by Darcy’s Law: Sudan case study." Hydrology and Earth System Sciences Discussions 2, no. 4 (August 31, 2005): 1787–806. http://dx.doi.org/10.5194/hessd-2-1787-2005.

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Abstract. The present study applies Darcy's Law to compute evapotranspiration in the arid to semi-arid central Sudan. The average decline in groundwater level (s) along a distance (L) of the aquifer's cross section was calculated. Such decline is a function of discharge Q at any point across the unit width of the aquifer and effective porosity. Groundwater in the study area generally flows from NW to the SE along basin axial trough and is characterized by variable hydraulic gradient. As the aquifer discharge is directly proportional to the gradient, different values of groundwater level decline were calculated along the flow direction. The hydrogeological map constructed during this study indicates that the system is hydrologicaly closed and groundwater doesn't discharge in the neighboring White Nile River. Geological, hydrological and climatological settings of the discharge area demonstrate that evapotranspiration is the main mechanism of groundwater discharge and reveals that the area is suited for the application of Darcy's Law to compute evapotranspiration. Evapotranspiration was estimated from Darcy's law to be 1.2 mm/a and is sufficient to balance the present system. Greater similarity in geology, hydrology, climate and vegetation encourages the application of Darcy's Law in the Sahara and sub-Sahara to compute for evapotranspiration. Such cost effective method can be applied in arid to semi-arid areas if conditions are favorable.

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14

Jakupov K. B. "NATURAL FILTRATION EQUATIONS. FIASCO “OF DARCY'S LAW”." PHYSICO-MATHEMATICAL SERIES, no. 6 (December 15, 2018): 54–70. http://dx.doi.org/10.32014/2018.2518-1726.18.

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The theory of natural filtration equations is given. The naturalness of the new filtration equations is that they are the exact consequences of the fundamental laws of physics, directly take into account the density and porosity of the soil, the viscosity and density of the filtration fluid, drainage, the influence of gravity, etc.the falsity of the traditional continuity equation in the filtration theory is Established. New filtration equations are derived from the equation of continuum dynamics in stresses, including the density and viscosity of the liquid and the porosity of the soil.Inadequacy of the modeling filter equations with the friction law of Newton. The efficiency of simulation of filtration by Jakupova equations based on the power laws of friction with odd exponents is numerically confirmed, with the use of which the calculations of filtration in the well, drainage under the influence of gravity, displacement of oil by water from the underground area through two symmetrically located pits are carried out.

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15

Neto, F. D. Moura, and S. T. Melo. "Darcy's Law for a Heterogeneous Porous Medium." Journal of Porous Media 4, no. 2 (2001): 14. http://dx.doi.org/10.1615/jpormedia.v4.i2.60.

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16

WADA, Sanae, Noriyuki NISHIYAMA, and Syunichi NISHIDA. "Modified Darcy's law for non-Newtonian fluid." Transactions of the Japan Society of Mechanical Engineers Series C 51, no. 464 (1985): 852–58. http://dx.doi.org/10.1299/kikaic.51.852.

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17

Preziosi, L., and A. Farina. "On Darcy's law for growing porous media." International Journal of Non-Linear Mechanics 37, no. 3 (April 2002): 485–91. http://dx.doi.org/10.1016/s0020-7462(01)00022-1.

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18

Hofmann, James R., and Paul A. Hofmann. "Darcy's Law and Structural Explanation in Hydrology." PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992, no. 1 (January 1992): 23–35. http://dx.doi.org/10.1086/psaprocbienmeetp.1992.1.192741.

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19

WADA, Sanae, Noriyuki NISHIYAMA, and Syun-ichi NISHIDA. "Modified Darcy's Law for Non-Newtonian Fluids." Bulletin of JSME 28, no. 246 (1985): 3031–37. http://dx.doi.org/10.1299/jsme1958.28.3031.

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20

Barrere, Jean, Olivier Gipouloux, and Stephen Whitaker. "On the closure problem for Darcy's law." Transport in Porous Media 7, no. 3 (March 1992): 209–22. http://dx.doi.org/10.1007/bf01063960.

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21

Payne, L. E., J. F. Rodrigues, and B. Straughan. "Effect of anisotropic permeability on Darcy's law." Mathematical Methods in the Applied Sciences 24, no. 6 (2001): 427–38. http://dx.doi.org/10.1002/mma.228.

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22

Geindreau, C., E. Sawicki, J. L. Auriault, and P. Royer. "About Darcy's law in non-Galilean frame." International Journal for Numerical and Analytical Methods in Geomechanics 28, no. 3 (February 18, 2004): 229–49. http://dx.doi.org/10.1002/nag.333.

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23

NADER, J. J. "Darcy's law and the differential equation of motion." Géotechnique 59, no. 6 (August 2009): 551–52. http://dx.doi.org/10.1680/geot.2008.t.014.

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24

Khalifa, M. Abderahmane O. A., Imam Wahyudi, and Pierre Thomas. "New Extension of Darcy's Law to Unsteady Flows." Soils and Foundations 42, no. 6 (December 2002): 53–63. http://dx.doi.org/10.3208/sandf.42.6_53.

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25

Narasimhan, T. N. "Geometry-Imbedded Darcy's Law and Transient Subsurface Flow." Water Resources Research 21, no. 8 (August 1985): 1285–92. http://dx.doi.org/10.1029/wr021i008p01285.

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26

Rose, Walter. "Myths about later-day extensions of Darcy's law." Journal of Petroleum Science and Engineering 26, no. 1-4 (May 2000): 187–98. http://dx.doi.org/10.1016/s0920-4105(00)00033-4.

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27

Leandro, Eduardo S. G., José A. Miranda, and Fernando Moraes. "Symmetric flows and Darcy's law in curved spaces." Journal of Physics A: Mathematical and General 39, no. 7 (February 1, 2006): 1619–32. http://dx.doi.org/10.1088/0305-4470/39/7/007.

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28

Indelman, Peter. "Averaging of unsteady flows in heterogeneous media of stationary conductivity." Journal of Fluid Mechanics 310 (March 10, 1996): 39–60. http://dx.doi.org/10.1017/s0022112096001723.

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A procedure for deriving equations of average unsteady flows in random media of stationary conductivity is developed. The approach is based on applying perturbation methods in the Fourier-Laplace domain. The main result of the paper is the formulation of an effective Darcy's Law relating the mean velocity to the mean head gradient. In the Fourier-Laplace domain the averaged Darcy's Law is given by a linear local relation. The coefficient of proportionality depends only on the heterogeneity structure and is called the effective conductivity tensor. In the physical domain this relation has a non-local structure and it defines the effective conductivity as an integral operator of convolution type in time and space. The mean head satisfies an unsteady integral-differential equation. The kernel of the integral operator is the inverse Fourier-Laplace transform (FLT) of the effective conductivity tensor. The FLT of the mean head is obtained as a product of two functions: the first describes the FLT of the mean head distribution in a homogeneous medium; the second corrects the solution in a homogeneous medium for the given spatial distribution of heterogeneities. This function is simply related to the effective conductivity tensor and determines the fundamental solution of the governing equation for the mean head. These general results are applied to derive the effective conductivity tensor for small variances of the conductivity. The properties of unsteady average flows in isotropic media are studied by analysing a general structure of the effective Darcy's Law. It is shown that the transverse component of the effective conductivity tensor does not affect the mean flow characteristics. The effective Darcy's Law is obtained as a convolution integral operator whose kernel is the inverse FLT of the effective conductivity longitudinal component. The results of the analysis are illustrated by calculating the effective conductivity for one-, two- and three-dimensional flows. An asymptotic model of the effective Darcy's Law, applicable for distances from the sources of mean flow non-uniformity much larger than the characteristic scale of heterogeneity, is developed. New bounds for the effective conductivity tensor, namely the effective conductivity tensor for steady non-uniform average flow and the arithmetic mean, are proved for weakly heterogeneous media.

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29

Hansbo, S. "Deviation from Darcy's law observed in one-dimensional consolidation." Géotechnique 53, no. 6 (August 2003): 601–5. http://dx.doi.org/10.1680/geot.2003.53.6.601.

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30

McDowell, Nathan G., and Craig D. Allen. "Darcy's law predicts widespread forest mortality under climate warming." Nature Climate Change 5, no. 7 (May 18, 2015): 669–72. http://dx.doi.org/10.1038/nclimate2641.

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31

FIRDAOUSS, MOUAOUIA, JEAN-LUC GUERMOND, and PATRICK LE QUÉRÉ. "Nonlinear corrections to Darcy's law at low Reynolds numbers." Journal of Fluid Mechanics 343 (July 25, 1997): 331–50. http://dx.doi.org/10.1017/s0022112097005843.

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Under fairly general assumptions, this paper shows that for periodic porous media, whose period is of the same order as that of the inclusion, the nonlinear correction to Darcy's law is quadratic in terms of the Reynolds number, i.e. cubic with respect to the seepage velocity. This claim is substantiated by reinspection of well-known experimental results, a mathematical proof (restricted to periodic porous media), and numerical calculations.

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32

Prada, Alvaro, and Faruk Civan. "Modification of Darcy's law for the threshold pressure gradient." Journal of Petroleum Science and Engineering 22, no. 4 (February 1999): 237–40. http://dx.doi.org/10.1016/s0920-4105(98)00083-7.

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33

Xin, Xian Kang, Gao Ming Yu, and Zhuo Li. "Study on Application of Low Velocity Non-Darcy Flow." Advanced Materials Research 1078 (December 2014): 129–33. http://dx.doi.org/10.4028/www.scientific.net/amr.1078.129.

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The seepage underground is rather complicated in the low permeability reservoir and the heavy oil reservoir. One important point to note is that the seepage in these reservoirs does not follow Darcy's law, which brings difficulty to the development of oil field. Study on low velocity non-Darcy percolation theory, the impact on oil production index is analyzed. The key is the summary of the application in order to provide theoretical references for the rational exploitation of the relevant oil fields.

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34

Yang, Bin, Tianhong Yang, Zenghe Xu, Honglei Liu, Wenhao Shi, and Xin Yang. "Numerical simulation of the free surface and water inflow of a slope, considering the nonlinear flow properties of gravel layers: a case study." Royal Society Open Science 5, no. 2 (February 2018): 172109. http://dx.doi.org/10.1098/rsos.172109.

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Groundwater is an important factor of slope stability, and 90% of slope failures are related to the influence of groundwater. In the past, free surface calculations and the prediction of water inflow were based on Darcy's law. However, Darcy's law for steady fluid flow is a special case of non-Darcy flow, and many types of non-Darcy flows occur in practical engineering applications. In this paper, based on the experimental results of laboratory water seepage tests, the seepage state of each soil layer in the open-pit slope of the Yanshan Iron Mine, China, were determined, and the seepage parameters were obtained. The seepage behaviour in the silt layer, fine sand layer, silty clay layer and gravelly clay layer followed the traditional Darcy law, while the gravel layers showed clear nonlinear characteristics. The permeability increases exponentially and the non-Darcy coefficient decreases exponentially with an increase in porosity, and the relation among the permeability, the porosity and the non-Darcy coefficient is investigated. A coupled mathematical model is established for two flow fields, on the basis of Darcy flow in the low-permeability layers and Forchheimer flow in the high-permeability layers. In addition, the effect of the seepage in the slope on the transition from Darcy flow to Forchheimer flow was considered. Then, a numerical simulation was conducted by using finite-element software (FELAC 2.2). The results indicate that the free surface calculated by the Darcy–Forchheimer model is in good agreement with the in situ measurements; however, there is an evident deviation of the simulation results from the measured data when the Darcy model is used. Through a parameter sensitivity analysis of the gravel layers, it can be found that the height of the overflow point and the water inflow calculated by the Darcy–Forchheimer model are consistently less than those of the Darcy model, and the discrepancy between these two models increases as the permeability increases. The necessity of adopting the Darcy–Forchheimer model was explained. The Darcy–Forchheimer model would be applicable in slope engineering applications with highly permeable rock.

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35

Yan, Shi Lin, Hang Lu, Hua Tan, and Zhong Qi Qiu. "Microscopic Analysis of Flow and Prediction of Effective Permeability for Dual-Scale Porous Fiber Fabrics." Advanced Materials Research 97-101 (March 2010): 1776–81. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.1776.

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In this paper, the permeability of fiber fabric used in liquid composite molding (LCM) is predicted by the method of numerical simulation. The three-dimensional finite element model of unit cell representing the periodic micro-structure of a plaid is established. In the process of numerical simulation, each fiber bundle in unit cell is treated as a porous medium. Stokes equation and Darcy's law are employed to model the saturated flow between the fiber bundles and the saturated flow in the fiber bundle, respectively. Steady state flow of the finite element model of unit cell is simulated. The effective permeability of the plaid is obtained from the postprocessing of the simulation results by using Darcy's law.

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36

Lipton, Robert, and Marco Avellaneda. "Darcy's law for slow viscous flow past a stationary array of bubbles." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 114, no. 1-2 (1990): 71–79. http://dx.doi.org/10.1017/s0308210500024276.

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SynopsisWe examine slow viscous flow past a concentrated bed of small stationary viscous bubbles of a second fluid, and derive Darcy's law relating the average fluid velocity to the overall pressure gradient and body force.

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37

AlDien, Mohamed Saif, and Hussam M.Gubara. "Incompressible Fluid flow through free andporous areas." Journal of The Faculty of Science and Technology, no. 6 (January 13, 2021): 99–102. http://dx.doi.org/10.52981/jfst.vi6.613.

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38

Dixon, D. A., M. N. Gray, and D. Hnatiw. "Critical gradients and pressures in dense swelling clays." Canadian Geotechnical Journal 29, no. 6 (December 1, 1992): 1113–19. http://dx.doi.org/10.1139/t92-129.

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Uncertainties exist with regard to the applicability of Darcy's law to dense swelling clays. These clays may not allow water to pass through them when the hydraulic gradient is below a critical value. Preliminary results are presented from a series of constant-head permeability tests on dry, confined, densely compacted bentonite clays. The tests are intended to clarify the applicability of Darcy's law to dense bentonites: these materials may be used for isolation of nuclear fuel wastes in deep geologic disposal vaults. On wetting and with increasing hydraulic gradient, the clays develop swelling pressures, and some specimens appear to exhibit a critical hydraulic gradient or pressure. Below these gradients and pressures, water does not appear to flow through the materials. Once the apparent critical gradient is exceeded, water flux through the materials increases linearly and directly with gradient. Water continues to flow if the gradient is subsequently decreased to values below the original critical value. The possible importance of this finding to effective stress testing of dense bentonite materials is briefly discussed. The hydraulic performance of dense bentonite clay barriers over the range of conditions anticipated in a nuclear-fuel-waste disposal vault remains uncertain. Studies of material behaviour within the anticipated constraints of emplacement state and hydraulic boundary conditions are required. Key words : clay, bentonite, Darcy's law, effective stress, compacted clay, swelling pressure.

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39

HARADA, Morihiro, and Hidenori WATANABE. "A CONSIDERATION ON NON-LINEAR DARCY'S LAW IN COARSE MEDIA." Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 73, no. 4 (2017): I_43—I_48. http://dx.doi.org/10.2208/jscejhe.73.i_43.

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40

Valdes-Parada, Francisco J., and G. Espinosa-Paredes. "Darcy's Law for Immiscible Two-Phase Flow: A Theoretical Development." Journal of Porous Media 8, no. 6 (2005): 557–67. http://dx.doi.org/10.1615/jpormedia.v8.i6.20.

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41

Li, Jiang, and Donald Helm. "Viscous drag, driving forces, and their reduction to Darcy's Law." Water Resources Research 34, no. 7 (July 1998): 1675–84. http://dx.doi.org/10.1029/98wr01208.

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42

Rosti, Marco Edoardo, Satyajit Pramanik, Luca Brandt, and Dhrubaditya Mitra. "The breakdown of Darcy's law in a soft porous material." Soft Matter 16, no. 4 (2020): 939–44. http://dx.doi.org/10.1039/c9sm01678c.

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We show that the flux through a poroelastic material is a super-linear function of the pressure-difference. The permeability is a universal function of the ratio of the pressure-difference over the shear modulus, proportional to the cube of porosity.

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43

Zhang, Xuyang, Xu Zhang, Hidetaka Taira, and Hongtan Liu. "Error of Darcy's law for serpentine flow fields: Dimensional analysis." Journal of Power Sources 412 (February 2019): 391–97. http://dx.doi.org/10.1016/j.jpowsour.2018.11.071.

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44

Tanveer, Anum, T. Hayat, A. Alsaedi, and B. Ahmad. "On modified Darcy's law utilization in peristalsis of Sisko fluid." Journal of Molecular Liquids 236 (June 2017): 290–97. http://dx.doi.org/10.1016/j.molliq.2017.04.041.

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45

Goodarzi, Majid, Chung Yee Kwok, and Leslie George Tham. "A continuum-discrete model using Darcy's law: formulation and verification." International Journal for Numerical and Analytical Methods in Geomechanics 39, no. 3 (August 18, 2014): 327–42. http://dx.doi.org/10.1002/nag.2319.

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46

Masoodi, Reza, Krishna M. Pillai, and Padma Prabodh Varanasi. "Darcy's law-based models for liquid absorption in polymer wicks." AIChE Journal 53, no. 11 (2007): 2769–82. http://dx.doi.org/10.1002/aic.11322.

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47

Duan, Renjun, Qingqing Liu, and Changjiang Zhu. "Darcy's law and diffusion for a two-fluid Euler–Maxwell system with dissipation." Mathematical Models and Methods in Applied Sciences 25, no. 11 (July 10, 2015): 2089–151. http://dx.doi.org/10.1142/s0218202515500530.

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This paper is concerned with the large-time behavior of solutions to the Cauchy problem on the two-fluid Euler–Maxwell system with dissipation when initial data are around a constant equilibrium state. The main goal is the rigorous justification of diffusion phenomena in fluid plasma at the linear level. Precisely, motivated by the classical Darcy's law for the nonconductive fluid, we first give a heuristic derivation of the asymptotic equations of the Euler–Maxwell system in large time. It turns out that both the density and the magnetic field tend time-asymptotically to the diffusion equations with diffusive coefficients explicitly determined by given physical parameters. Then, in terms of the Fourier energy method, we analyze the linear dissipative structure of the system, which implies the almost exponential time-decay property of solutions over the high-frequency domain. The key part of the paper is the spectral analysis of the linearized system, exactly capturing the diffusive feature of solutions over the low-frequency domain. Finally, under some conditions on initial data, we show the convergence of the densities and the magnetic field to the corresponding linear diffusion waves with the rate [Formula: see text] in L2-norm and also the convergence of the velocities and the electric field to the corresponding asymptotic profiles given in the sense of the generalized Darcy's law with the faster rate [Formula: see text] in L2-norm. Thus, this work can be also regarded as the mathematical proof of the Darcy's law in the context of collisional fluid plasma.

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48

HE, ANDONG, and ANDREW BELMONTE. "Inertial effects on viscous fingering in the complex plane." Journal of Fluid Mechanics 668 (January 26, 2011): 436–45. http://dx.doi.org/10.1017/s0022112010005859.

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We present a nonlinear unsteady Darcy's equation which includes inertial effects for flows in a porous medium or Hele-Shaw cell and discuss the conditions under which it reduces to the classical Darcy's law. In the absence of surface tension we derive a generalized Polubarinova–Galin equation in a circular geometry, using the method of conformal mapping. The linear stability of the base-flow state is examined by perturbing the corresponding conformal map. We show that inertia always has a tendency to stabilize the interface, regardless of whether a less viscous fluid is displacing a more viscous fluid or vice versa.

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49

Wu, Qimeng, Melle T. J. J. M. Punter, Thomas E. Kodger, Luben Arnaudov, Bela M. Mulder, Simeon Stoyanov, and Jasper van der Gucht. "Gravity-driven syneresis in model low-fat mayonnaise." Soft Matter 15, no. 46 (2019): 9474–81. http://dx.doi.org/10.1039/c9sm01097a.

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We show that forced syneresis in model low fat mayonnaise, a colloid polymer mixture, can be described as a gravity-driven porous flow through the densely packed emulsion, explainable with a model based on Darcy's law.

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Bennethum, L. Schreyer, M. A. Murad, and J. H. Cushman. "Modified Darcy's law, Terzaghi's effective stress principle and Fick's law for swelling clay soils." Computers and Geotechnics 20, no. 3-4 (January 1997): 245–66. http://dx.doi.org/10.1016/s0266-352x(97)00005-0.

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