[1] BEDRIKOVETSKY, P. Mathematical Theory of Oil and Gas Recovery with Applications to ExUSSR Oil and Gas Fields, Springer Science and Business Media, Des Moines (2013)
[2] CIVAN, F. Reservoir Formation Damage (Fundamentals, Modeling, Assessment, and Mitigation), Gulf Professional Publishing, Houston (2007)
[3] LU, B., LIU, X., DONG, P., TICK, G. R., ZHENG, C., ZHANG, Y., MAHMOOD-UI-HASSAN, M., BAI, H., and LAMY, E. Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model. Applied Mathematical Modelling, 81, 279-295(2020)
[4] ELIMELECH, M., GREGORY, J., JIA, X., and WILLIAMS, R. Particle Deposition and Aggregation:Measurement, Modelling, and Simulation, Butterworth-Heinemann, New York (2013)
[5] DOMGA, R., TCHATCHUENG, J. B., TOGUE-KAMGA, F., and NOUBACTEP, C. Discussing porosity loss of FeO packed water filters at ground level. Chemical Engineering Journal, 263, 127-134(2014)
[6] ZEMAN, L. J. and ZYDNEY, A. L. Microfiltration and Ultrafiltration:Principles and Applications, Marcel Dekker, New York (1996)
[7] BRADFORD, S. A., YATES, S. R., BETTAHAR, M., and SIMUNEK, J. Physical factors affecting the transport and fate of colloids in saturated porous media. Water Resources Research, 38, 1327-1334(2002)
[8] GITIS, V., RUBINSTEIN, I., LIVSHTS, M., and ZISKIND, G. Deep-bed filtration model with multistage deposition kinetics. Chemical Engineering Journal, 163, 78-85(2010)
[9] BEDRIKOVETSKY, P. Upscaling of stochastic micro model for suspension transport in porous media. Transport in Porous Media, 75, 335-369(2008)
[10] TIEN, C. Principles of Filtration, Elsevier, Oxford (2012)
[11] BEDRIKOVETSKY, P., SIQUEIRA, F. D., FURTADO, C., and SOUZA, A. L. S. Modified particle detachment model for colloidal transport in porous media. Transport in Porous Media, 86, 353-383(2011)
[12] HERZIG, J. P., LECLERC, D. M., and GOFF, P. L. Flow of suspensions through porous media-application to deep filtration. Industrial and Engineering Chemistry Research, 62, 8-35(1970)
[13] POLYAKOV, Y. S. and ZYDNEY, A. L. Ultrafiltration membrane performance:effects of pore blockage/constriction. Journal of Membrane Science, 434, 106-120(2013)
[14] TUFENKJI, N. Colloid and microbe migration in granular environments:a discussion of modelling methods. Colloidal Transport in Porous Media, Springer, Berlin (2007)
[15] TUFENKJI, N. and ELIMELECH, M. Correlation equation for predicting single-collector efficiency in physicochemical filtration in saturated porous media. Environmental Science and Technology, 38, 529-536(2004)
[16] POLYANIN, A. D. and MANZHIROV, A. V. Handbook of Mathematics for Engineers and Scientists, Chapman and Hall/CRC Press, Boca Raton (2006)
[17] SHARMA, M. and YORTSOS, Y. Transport of particulate suspensions in porous media:model formulation. AIChE Journal, 33, 1636-1643(1987)
[18] SHAPIRO, A. Elliptic equation for random walks:application to transport in microporous media. Physica A:Statistical Mechanics and Its Applications, 375, 81-96(2007)
[19] YUAN, H. and SHAPIRO, A. Colloid transport and retention:recent advances in colloids filtration theory. Colloids:Classification, Properties and Applications, Nova Science Publishers, New York (2013)
[20] MACKIE, R. I. and ZHAO, Q. A framework for modeling removal in the filtration of polydisperse suspensions. Water Research, 33, 794-806(1999)
[21] HARRIS, T. C., HOGG, A. J., and HUPPERT, H. E. Polydisperse particle-driven gravity currents. Journal of Fluid Mechanics, 472, 333-371(2002)
[22] BENNACER, L., AHFIR, N. D., BOUANANI, A., ALEM, A., and WANG, H. Suspended particles transport and deposition in saturated granular porous medium:particle size effects. Transport in Porous Media, 100, 377-392(2013)
[23] TRZASKUS, K., ELSHOF, M., KEMPERMAN, A., and NIJMEIJER, K. Understanding the role of nanoparticle size and polydispersity in fouling development during dead-end microfiltration. Journal of Membrane Science, 516, 152-161(2016)
[24] KUZMINA, L. I., OSIPOV, Y. V., and ZHEGLOVA, Y. G. Analytical model for deep bed filtration with multiple mechanisms of particle capture. International Journal of Non-Linear Mechanics, 105, 242-248(2018)
[25] ZHANG, H., MALGARESI, G. V. C. P., and BEDRIKOVETSKY, P. Exact solutions for suspension-colloidal transport with multiple capture mechanisms. International Journal of NonLinear Mechanics, 105, 27-42(2018)
[26] POLYANIN, A. and ZAITSEV, V. Handbook of Nonlinear Partial Differential Equations, Chapman and Hall/CRC Press, Boca Raton (2012)
[27] VYAZMINA, E. A., BEDRIKOVETSKⅡ, P. G., and POLYANIN, A. D. New classes of exact solutions to nonlinear sets of equations in the theory of filtration and convective mass transfer. Theoretical Foundations of Chemical Engineering, 41, 556-564(2007)
[28] ALVAREZ, A. C., HIME, G., MARCHESIN, D., and BEDRIKOVETSKY, P. G. The inverse problem of determining the filtration function and permeability reduction in flow of water with particles in porous media. Transport in Porous Media, 70, 43-62(2007)
[29] ALVAREZ, A. C., HIME, G., SILVA, J. D., and MARCHESIN, D. Analytic regularization of an inverse filtration problem in porous media. Inverse Problems, 29, 025006(2013)
[30] CHALK, P., GOODING, N., HUTTEN, S., YOU, Z., and BEDRIKOVETSKY, P. Pore size distribution from challenge coreflood testing by colloidal flow. Chemical Engineering Research and Design, 90, 63-77(2012)
[31] KUZMINA, L. I., NAZAIKINSKⅡ, V. E., and OSIPOV, Y. V. On a deep bed filtration problem with finite blocking time. Russian Journal of Mathematical Physics, 26, 130-134(2019)
[32] KUZMINA, L. I. and OSIPOV, Y. V. Deep bed filtration asymptotics at the filter inlet. Procedia Engineering, 153, 366-370(2016)
[33] ANDREUCCI, D. and TEDEEV, A. F. Asymptotic behavior for the filtration equation in domains with noncompact boundary. Communications in Partial Differential Equations, 42, 347-365(2017)
[34] KUZMINA, L. I., OSIPOV, Y. V., and GALAGUZ, Y. P. A model of two-velocity particles transport in a porous medium. International Journal of Non-Linear Mechanics, 93, 1-6(2017)
[35] MALGARESI, G., COLLINS, B., ALVARO, P., and BEDRIKOVETSKY, P. Explaining nonmonotonic retention profiles during flow of size-distributed colloids. Chemical Engineering Journal, 375, 121984(2019)
[36] POLYANIN, A. and DILMAN, V. V. Methods of Modeling Equations and Analogies in Chemical Engineering, CRC Press/Begell House, Boca Raton (1994)
[37] TANG, Y. D., JIN, T., and FLESCH, R. C. C. Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia. Applied Mathematical Modelling, 83, 122-135(2020)
[38] GERBER, G., WEITZ, D. A., and COUSSOT, P. Propagation and adsorption of nanoparticles in porous medium as traveling waves. Physical Review Research, 2, 033074(2020)
[39] CHALK, P., GOODING, N., HUTTEN, S., YOU, Z., and BEDRIKOVETSKY, P. Pore size distribution from challenge coreflood testing by colloidal flow. Chemical Engineering Research and Design, 90, 63-77(2012)
[40] GALAGUZ, Y. P., KUZMINA, L. I., and OSIPOV, Y. V. Problem of deep bed filtration in a porous medium with the initial deposit. Fluid Dynamics, 54, 85-97(2019)
[41] YOU, Z., BEDRIKOVETSKY, P., BADALYAN, A., and HAND, M. Particle mobilization in porous media:temperature effects on competing electrostatic and drag forces. Geophysical Research Letters, 42, 2852-2860(2015)
[42] BEDRIKOVETSKY, P., ZEINIJAHROMI, A., SIQUEIRA, F. D., FURTADO, C., and DE SOUZA, A. L. S. Particle detachment under velocity alternation during suspension transport in porous media. Transport in Porous Media, 91, 173-197(2012)
[43] YOU, Z., BADALYAN, A., YANG, Y., and BEDRIKOVETSKY, P. Formation damage challenges in geothermal reservoirs:laboratory and mathematical modeling. Formation Damage During Improved Oil Recovery:Fundamentals and Applications, Gulf Professional Publishing, Oxford (2018)
[44] DEL VIGO, A., ZUBELZU, S., and JUANA, L. Numerical routine for soil water dynamics from trickle irrigation. Applied Mathematical Modelling, 83, 371-385(2020)
[45] BORAZJANI, S., ROBERTS, A. J., and BEDRIKOVETSKY, P. Splitting in systems of PDEs for two-phase multicomponent flow in porous media. Applied Mathematical Letters, 53, 25-32(2015)
[46] BORAZJANI, S. and BEDRIKOVETSKY, P. Exact solutions for two-phase colloidal-suspension transport in porous media. Applied Mathematical Modelling, 44, 296-320(2017)