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1

Sihvola, A. H., and I. V. Lindell. "Effective Permeability of Mixtures." Progress In Electromagnetics Research 06 (1992): 153–80. http://dx.doi.org/10.2528/pier90010600.

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2

Babadagli, Tayfun. "Effective Permeability Estimation for 2-D Fractal Permeability Fields." Mathematical Geology 38, no. 1 (January 2006): 33–50. http://dx.doi.org/10.1007/s11004-005-9002-z.

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3

Halauddin, Halauddin, Suhendra Suhendra, and Muhammad Isa. "Lattice Gas Automata Applications to Estimate Effective Porosity and Permeability Barrier Model of the Triangle with a Height Variation." Journal of Aceh Physics Society 9, no. 2 (May 1, 2020): 48–54. http://dx.doi.org/10.24815/jacps.v9i2.16056.

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Penelitian ini bertujuan untuk menghitung porositas efektif (фeff) dan permeabilitas (k) menggunakan model segitiga dengan variasi tinggi yaitu 3, 4, 5, 6 dan 7 cm. Perhitungan porositas dan permeabilitas yang efektif dilakukan dengan menggunakan model Lattice Gas Automata (LGA), yang diimplementasikan dengan bahasa pemrograman Delphi 7.0. Untuk model segitiga penghalang dengan tinggi 3, 4, 5, 6 dan 7 cm, nilai porositas efektif dan permeabilitas, masing-masing: фeff (T1) = 0,1690, k (T1) = 0 , 001339 pixel2; фeff (T2) = 0,1841, k (T2) = 0,001904 pixel2; фeff (T3) = 0,1885, k (T3) = 0,001904 pixel2; фeff (T4) = 0,1938, k (T4) = 0001925 pixel2; dan фeff (T5) = 0,2053, k (T5) = 0,002400 pixel2. Dari hasil simulasi, diperoleh tinggi segitiga akan berpengaruh signifikan terhadap nilai porositas efektif dan permeabilitas. Pada segitiga lebih tinggi, menyebabkan tabrakan model aliran fluida LGA mengalami lebih banyak hambatan untuk penghalang, sehingga porositas efektif dan permeabilitas menurun. Sebaliknya, jika segitiga lebih rendah, menyebabkan tabrakan model aliran fluida LGA mengalami lebih sedikit hambatan untuk penghalang, sehingga porositas efektif dan permeabilitas meningkat.This research purposed to calculate the effective porosity (feff) and permeability (k) using the barrier model of the triangle with a high varying are 3, 4, 5, 6 and 7 cm. Effective porosity and permeability calculations performed using the model Lattice Gas Automata (LGA), which is implemented with Delphi 7.0 programming language. For model the barrier triangle with a high of 3, 4, 5, 6 and 7 cm, the value of effective porosity and permeability, respectively: feff(T1)=0,1690, k(T1)=0,001339 pixel2; feff(T2)=0,1841, k(T2)=0,001904 pixel2; feff(T3)=0,1885, k(T3)=0,001904 pixel2; feff(T4)=0,1938, k(T4)= 0001925 pixel2; and feff(T5)=0,2053, k(T5)=0,002400 pixel2. From the simulation results, obtained by the high of the triangle will be a significant effect on the value of effective porosity and permeability. If the triangle highest, causing the collision of fluid flow models LGA experience more obstacles to the barrier, so that the effective porosity and permeability decrease. Conversely, if the triangle lower, causing the collision of fluid flow models LGA experience less obstacles to the barrier, so that the effective porosity and permeability increases.Keywords: Effective porosity, permeability, model triangle, model LGA
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4

Selvadurai, A. P. S., and P. A. Selvadurai. "Surface permeability tests: experiments and modelling for estimating effective permeability." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2122 (May 14, 2010): 2819–46. http://dx.doi.org/10.1098/rspa.2009.0475.

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This paper presents a technique for determining the near surface permeability of geomaterials and involves the application of a uniform flow rate to an open central region of a sealed annular patch on an otherwise unsealed flat surface. Darcy’s flow is established during attainment of a steady pressure at a constant flow rate. This paper describes the experimental configuration and its theoretical analysis via mathematical and computational techniques. The methods are applied to investigate the surface permeability characteristics of a cuboidal block of Indiana limestone measuring 508 mm. An inverse analysis procedure is used to estimate the permeability characteristics at the interior of the Indiana limestone block. The resulting spatial distribution of permeability is used to estimate the effective permeability of the tested block.
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5

Amirkhizi, Alireza V., and Sia Nemat-Nasser. "Composites with tuned effective magnetic permeability." Journal of Applied Physics 102, no. 1 (July 2007): 014901. http://dx.doi.org/10.1063/1.2751084.

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6

Li, M., W. L. Xiao, Y. Bernabé, and J. Z. Zhao. "Nonlinear effective pressure law for permeability." Journal of Geophysical Research: Solid Earth 119, no. 1 (January 2014): 302–18. http://dx.doi.org/10.1002/2013jb010485.

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7

Ooura, H., K. Yanagi, and K. Emoto. "Effective Permeability of CoNbZr Amorphous Films." IEEE Translation Journal on Magnetics in Japan 2, no. 5 (May 1987): 477–78. http://dx.doi.org/10.1109/tjmj.1987.4549498.

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8

Saucier, Antoine. "Effective permeability of multifractal porous media." Physica A: Statistical Mechanics and its Applications 183, no. 4 (May 1992): 381–97. http://dx.doi.org/10.1016/0378-4371(92)90290-7.

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9

Gorshkov, A. M., I. S. Khomyakov, and M. V. Subbotina. "Influence of Effective Stress on Absolute Permeability of Ultralow-Permeability Rocks." IOP Conference Series: Earth and Environmental Science 459 (April 15, 2020): 022067. http://dx.doi.org/10.1088/1755-1315/459/2/022067.

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10

Nœtinger, Benoît. "Computing the effective permeability of log-normal permeability fields using renormalization methods." Comptes Rendus de l'Académie des Sciences - Series IIA - Earth and Planetary Science 331, no. 5 (September 2000): 353–57. http://dx.doi.org/10.1016/s1251-8050(00)01412-9.

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11

Zheng, Jiangtao, Liange Zheng, Hui-Hai Liu, and Yang Ju. "Relationships between permeability, porosity and effective stress for low-permeability sedimentary rock." International Journal of Rock Mechanics and Mining Sciences 78 (September 2015): 304–18. http://dx.doi.org/10.1016/j.ijrmms.2015.04.025.

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12

Chenevert, M. E., and A. K. Sharma. "Permeability and Effective Pore Pressure of Shales." SPE Drilling & Completion 8, no. 01 (March 1, 1993): 28–34. http://dx.doi.org/10.2118/21918-pa.

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13

Nakashima, Toshinori, Kozo Sato, Norio Arihara, and Nintoku Yazawa. "Effective permeability estimation for naturally fractured reservoirs." Journal of the Japanese Association for Petroleum Technology 66, no. 2 (2001): 225–36. http://dx.doi.org/10.3720/japt.66.225.

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14

Starov, Victor M., and Vjacheslav G. Zhdanov. "Effective viscosity and permeability of porous media." Colloids and Surfaces A: Physicochemical and Engineering Aspects 192, no. 1-3 (November 2001): 363–75. http://dx.doi.org/10.1016/s0927-7757(01)00737-3.

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15

Koponen, A., M. Kataja, and J. Timonen. "Permeability and effective porosity of porous media." Physical Review E 56, no. 3 (September 1997): 3319–25. http://dx.doi.org/10.1103/physreve.56.3319.

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16

Maksimenko, V. V., L. Yu Kupriyanov, and V. A. Zagainov. "Effective dielectric permeability of a fractal cluster." Nanotechnologies in Russia 4, no. 11-12 (December 2009): 795–801. http://dx.doi.org/10.1134/s1995078009110056.

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17

Khan, M. F., M. J. Mughal, and M. Bilal. "Effective permeability of an S-shaped resonator." Microwave and Optical Technology Letters 54, no. 2 (December 15, 2011): 282–86. http://dx.doi.org/10.1002/mop.26562.

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18

Drummond, I. T., and R. R. Horgan. "The effective permeability of a random medium." Journal of Physics A: Mathematical and General 20, no. 14 (October 1, 1987): 4661–72. http://dx.doi.org/10.1088/0305-4470/20/14/012.

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19

Sheng, Ping, and M. Gadenne. "Effective magnetic permeability of granular ferromagnetic metals." Journal of Physics: Condensed Matter 4, no. 48 (November 30, 1992): 9735–40. http://dx.doi.org/10.1088/0953-8984/4/48/025.

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20

Leong, J. C., and F. C. Lai. "Effective Permeability of a Layered Porous Cavity." Journal of Heat Transfer 123, no. 3 (October 6, 2000): 512–19. http://dx.doi.org/10.1115/1.1351164.

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The feasibility of using a lumped system approach in the heat transfer analysis of a layered porous cavity is numerically investigated in this paper. Two layered cavities are considered; in one case the sublayers are perpendicular to the imposed temperature gradient while in the other case they are parallel to the imposed temperature gradient. Numerical calculations have covered a wide range of parameters (i.e., 10⩽Ra1⩽1000,0.01⩽K1/K2⩽100, and L1/LH1/H=0.25, 0.5 and 0.75). The results are presented in term of the effective Rayleigh number which is defined based on the effective permeability. Two averaging techniques are used for the evaluation of the effective permeability; one is arithmetic average and the other is harmonic average. The results show that the lumped system approach can provide a fairly accurate prediction in heat transfer if the permeability is correctly characterized. Also found is that the effective permeability of a layered porous cavity is strongly dependent on the orientation of sublayers and the primary heat flow direction.
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21

Grimes, C. A., and D. M. Grimes. "The effective permeability of granular thin films." IEEE Transactions on Magnetics 29, no. 6 (November 1993): 4092–94. http://dx.doi.org/10.1109/20.281400.

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22

Huang, Kerwyn Casey, M. L. Povinelli, and John D. Joannopoulos. "Negative effective permeability in polaritonic photonic crystals." Applied Physics Letters 85, no. 4 (July 26, 2004): 543–45. http://dx.doi.org/10.1063/1.1775291.

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23

Hamzehpour, Hossein, and Malihe Khazaei. "Effective Permeability of Heterogeneous Fractured Porous Media." Transport in Porous Media 113, no. 2 (April 28, 2016): 329–44. http://dx.doi.org/10.1007/s11242-016-0696-9.

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24

Jafari, Alireza, and Tayfun Babadagli. "Effective fracture network permeability of geothermal reservoirs." Geothermics 40, no. 1 (March 2011): 25–38. http://dx.doi.org/10.1016/j.geothermics.2010.10.003.

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25

Pouya, Ahmad, Minh-Ngoc Vu, Siavash Ghabezloo, and Zaky Bendjeddou. "Effective permeability of cracked unsaturated porous materials." International Journal of Solids and Structures 50, no. 20-21 (October 2013): 3297–307. http://dx.doi.org/10.1016/j.ijsolstr.2013.05.027.

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26

Pang, Y., M. Y. Soliman, H. Deng, and Hossein Emadi. "Analysis of Effective Porosity and Effective Permeability in Shale-Gas Reservoirs With Consideration of Gas Adsorption and Stress Effects." SPE Journal 22, no. 06 (July 14, 2017): 1739–59. http://dx.doi.org/10.2118/180260-pa.

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Summary Nanoscale porosity and permeability play important roles in the characterization of shale-gas reservoirs and predicting shale-gas-production behavior. The gas adsorption and stress effects are two crucial parameters that should be considered in shale rocks. Although stress-dependent porosity and permeability models have been introduced and applied to calculate effective porosity and permeability, the adsorption effect specified as pore volume (PV) occupied by adsorbate is not properly accounted. Generally, gas adsorption results in significant reduction of nanoscale porosity and permeability in shale-gas reservoirs because the PV is occupied by layers of adsorbed-gas molecules. In this paper, correlations of effective porosity and permeability with the consideration of combining effects of gas adsorption and stress are developed for shale. For the adsorption effect, methane-adsorption capacity of shale rocks is measured on five shale-core samples in the laboratory by use of the gravimetric method. Methane-adsorption capacity is evaluated through performing regression analysis on Gibbs adsorption data from experimental measurements by use of the modified Dubinin-Astakhov (D-A) equation (Sakurovs et al. 2007) under the supercritical condition, from which the density of adsorbate is found. In addition, the Gibbs adsorption data are converted to absolute adsorption data to determine the volume of adsorbate. Furthermore, the stress-dependent porosity and permeability are calculated by use of McKee correlations (McKee et al. 1988) with the experimentally measured constant pore compressibility by use of the nonadsorptive-gas-expansion method. The developed correlations illustrating the changes in porosity and permeability with pore pressure in shale are similar to those produced by the Shi and Durucan model (2005), which represents the decline of porosity and permeability with the increase of pore pressure in the coalbed. The tendency of porosity and permeability change is the inverse of the common stress-dependent regulation that porosity and permeability increase with the increase of pore pressure. Here, the gas-adsorption effect has a larger influence on PV than stress effect does, which is because more gas is attempting to adsorb on the surface of the matrix as pore pressure increases. Furthermore, the developed correlations are added into a numerical-simulation model at field scale, which successfully matches production data from a horizontal well with multistage hydraulic fractures in the Barnett Shale reservoir. The simulation results note that without considering the effect of PV occupied by adsorbed gas, characterization of reservoir properties and prediction of gas production by history matching cannot be performed reliably. The purpose of this study is to introduce a model to calculate the volume of the adsorbed phase through the adsorption isotherm and propose correlations of effective porosity and permeability in shale rocks, including the consideration of the effects of both gas adsorption and stress. In addition, practical application of the developed correlations to reservoir-simulation work might achieve an appropriate evaluation of effective porosity and permeability and provide an accurate estimation of gas production in shale-gas reservoirs.
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27

Al-shajalee, Faaiz, Colin Wood, Quan Xie, and Ali Saeedi. "Effective Mechanisms to Relate Initial Rock Permeability to Outcome of Relative Permeability Modification." Energies 12, no. 24 (December 9, 2019): 4688. http://dx.doi.org/10.3390/en12244688.

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Excessive water production is becoming common in many gas reservoirs. Polymers have been used as relative permeability modifiers (RPM) to selectively reduce water production with minimum effect on the hydrocarbon phase. This manuscript reports the results of an experimental study where we examined the effect of initial rock permeability on the outcome of an RPM treatment for a gas/water system. The results show that in high-permeability rocks, the treatment may have no significant effect on either the water and gas relative permeabilities. In a moderate-permeability case, the treatment was found to reduce water relative permeability significantly but improve gas relative permeability, while in low-permeability rocks, it resulted in greater reduction in gas relative permeability than that of water. This research reveals that, in an RPM treatment, more important than thickness of the adsorbed polymer layer ( e ) is the ratio of this thickness on rock pore radius ( e r ).
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28

Zhang, Xiaolong, Jianjun Liu, and Jiecheng Song. "Optimization Algorithm of Effective Stress Coefficient for Permeability." Energies 14, no. 24 (December 10, 2021): 8345. http://dx.doi.org/10.3390/en14248345.

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The effective stress coefficient for permeability is a significant index for characterizing the variation in permeability with effective stress. The realization of its accuracy is essential for studying the stress sensitivity of oil and gas reservoirs. The determination of the effective stress coefficient for permeability can be mainly evaluated using the cross-plotting or response surface method. Both methods preprocess experimental data and preset a specific function relation, resulting in deviation in the calculation results. To improve the calculation accuracy of the effective stress coefficient for permeability, a 3D surface fitting calculation method was proposed according to the linear effective stress law and continuity hypothesis. The statistical parameters of the aforementioned three methods were compared, and the results showed that the three-dimensional (3D) surface fitting method had the advantages of a high correlation coefficient, low root mean square error, and low residual error. The principal of using the 3D surface fitting method to calculate the effective stress coefficient of permeability was to evaluate the influence of two independent variables on a dependent variable by means of a 3D nonlinear regression. Therefore, the method could be applied to studying the relationship between other physical properties and effective stress.
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29

Yun, Mei Juan. "Fractal Analysis of Effective Permeability for Meter Fluid." Applied Mechanics and Materials 331 (July 2013): 181–83. http://dx.doi.org/10.4028/www.scientific.net/amm.331.181.

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The Meter fluid is the representative fluid which may be reduced to the Reiner-Philippoff, Ellis and Newtonian fluids in appropriate conditions. Fractal models for flow rate, velocity and effective permeability for Meter fluid in a capillary are proposed based on the fractal properties of tortuous capillary. There are no empirical constant and all parameters in the proposed expressions have clear physical meaning. The proposed models are expressed as functions of relate the properties of Meter fluid to the structural parameters of fractal capillary. It is shown that the effective permeability increases with the increase of pressure gradient and decreases with the increase of tortuosity fractal dimension. The analytical expressions help to reveal the physical principles for Meter and other non-Newtonian fluid flow.
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30

Hyman, Jeffrey D., Satish Karra, J. William Carey, Carl W. Gable, Hari Viswanathan, Esteban Rougier, and Zhou Lei. "Discontinuities in effective permeability due to fracture percolation." Mechanics of Materials 119 (April 2018): 25–33. http://dx.doi.org/10.1016/j.mechmat.2018.01.005.

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31

Shen, Xiang, Rongzhou Gong, Zekun Feng, Yan Nie, Haifeng Li, and Jianhua Nie. "Effective Permeability of NiZnCo Ferrite Granular Thin Films." Journal of the American Ceramic Society 90, no. 7 (July 2007): 2196–99. http://dx.doi.org/10.1111/j.1551-2916.2007.01674.x.

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32

Waki, H., H. Igarashi, and T. Honma. "Estimation of effective permeability of magnetic composite materials." IEEE Transactions on Magnetics 41, no. 5 (May 2005): 1520–23. http://dx.doi.org/10.1109/tmag.2005.845071.

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33

Dillon, B. M., A. A. P. Gibson, and S. I. Sheikh. "Improved approximation for effective permeability in microwave ferrites." IEE Proceedings - Microwaves, Antennas and Propagation 143, no. 5 (1996): 444. http://dx.doi.org/10.1049/ip-map:19960596.

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34

Bologna, M., A. Petri, B. Tellini, and C. Zappacosta. "Effective Magnetic Permeability Measurement in Composite Resonator Structures." IEEE Transactions on Instrumentation and Measurement 59, no. 5 (May 2010): 1200–1206. http://dx.doi.org/10.1109/tim.2010.2044075.

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35

Pereverzev, S. I., and P. Y. Ufimtsev. "Effective Permittivity and Permeability of a Fibers Grating." Electromagnetics 14, no. 2 (April 1994): 137–51. http://dx.doi.org/10.1080/02726349408908376.

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36

Park, Wounjhang, and Qi Wu. "Negative effective permeability in metal cluster photonic crystal." Solid State Communications 146, no. 5-6 (May 2008): 221–27. http://dx.doi.org/10.1016/j.ssc.2007.10.042.

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37

Simon, T. M., K. Ito, H. T. Banksa, F. Reitich, and M. R. Jolly. "Estimation of the Effective Permeability in Magnetorheological Fluids." Journal of Intelligent Material Systems and Structures 10, no. 11 (November 1999): 872–79. http://dx.doi.org/10.1106/6kw6-7v12-nrq3-bw6v.

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38

Yan, Liang Dong, Zhi Juan Gao, and Feng Gang Dai. "Effective use Model of Low Permeability Oil Reservoir." Advanced Materials Research 753-755 (August 2013): 53–57. http://dx.doi.org/10.4028/www.scientific.net/amr.753-755.53.

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The throat of low permeability oil reservoir is narrow and small, the reservoir fluid flow resistance is big, and with the start-up pressure gradient, compare with medium and high permeability reservoir fluid flow, the characteristics are obviously different in performance for non-darcy flow at low speed. This kind of oil field reservoir started in the process of mining scope is small, the degree of use and the development effect is low. To solve these problems, this paper established considering start-up pressure gradient of the new unstable seepage flow mathematical model of non-darcy radial flow which the analytical solution and the productivity equation is deduced, established the effective radius of the use of low permeability reservoirs, and systemicly researched the calculation method of area well pattern of different types of non-darcy seepage.
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39

Kasap, Ekrem, and Larry W. Lake. "Calculating the Effective Permeability Tensor of a Gridblock." SPE Formation Evaluation 5, no. 02 (June 1, 1990): 192–200. http://dx.doi.org/10.2118/18434-pa.

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40

Hejtmánek, Vladimír, Martin Veselý, and Pavel Čapek. "Pore structure and effective permeability of metallic filters." Journal of Physics: Conference Series 410 (February 8, 2013): 012110. http://dx.doi.org/10.1088/1742-6596/410/1/012110.

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41

Belyaev, Alexander G., Gregory A. Chechkin, and Rustem R. Gadyl'shin. "Effective Membrane Permeability: Estimates and Low Concentration Asymptotics." SIAM Journal on Applied Mathematics 60, no. 1 (January 1999): 84–108. http://dx.doi.org/10.1137/s0036139996312880.

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42

Poley, Adriaan D. "Effective permeability and dispersion in locally heterogeneous aquifers." Water Resources Research 24, no. 11 (November 1988): 1921–26. http://dx.doi.org/10.1029/wr024i011p01921.

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43

Syms, R. R. A., and L. Solymar. "Effective permeability of a metamaterial: Against conventional wisdom." Applied Physics Letters 100, no. 12 (March 19, 2012): 124103. http://dx.doi.org/10.1063/1.3696075.

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44

Meijer, Eelco F. J., Cedric Blatter, Ivy X. Chen, Echoe Bouta, Dennis Jones, Ethel R. Pereira, Keehoon Jung, Benjamin J. Vakoc, James W. Baish, and Timothy P. Padera. "Lymph node effective vascular permeability and chemotherapy uptake." Microcirculation 24, no. 6 (August 2017): e12381. http://dx.doi.org/10.1111/micc.12381.

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45

Friedman, Avner, Chaocheng Huang, and Jiongmin Yong. "Effective permeability of the boundary of a domain." Communications in Partial Differential Equations 20, no. 1-2 (January 1995): 59–102. http://dx.doi.org/10.1080/03605309508821087.

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46

Deutsch, Clayton. "Calculating Effective Absolute Permeability in Sandstone/Shale Sequences." SPE Formation Evaluation 4, no. 03 (September 1, 1989): 343–48. http://dx.doi.org/10.2118/17264-pa.

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47

Volkovskaya, I. I., V. E. Semenov, and K. I. Rybakov. "Effective High-Frequency Permeability of Compacted Metal Powders." Radiophysics and Quantum Electronics 60, no. 10 (March 2018): 797–807. http://dx.doi.org/10.1007/s11141-018-9848-9.

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48

Kholodovskii, S. E. "The effective permeability tensor of heavily inhomogeneous grounds." Journal of Engineering Physics and Thermophysics 63, no. 1 (July 1992): 664–67. http://dx.doi.org/10.1007/bf00853957.

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49

N∄tinger, Benoît. "The effective permeability of a heterogeneous porous medium." Transport in Porous Media 15, no. 2 (May 1994): 99–127. http://dx.doi.org/10.1007/bf00625512.

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50

Poovathingal, Savio J., Brendan M. Soto, and Cameron Brewer. "Effective Permeability of Carbon Composites Under Reentry Conditions." AIAA Journal 60, no. 3 (March 2022): 1293–302. http://dx.doi.org/10.2514/1.j060630.

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