Geodesic
Acid effect on multilayer oil reservoirs
Numerical methods and programming, Tome 14 (2013) no. 1, pp. 50-57

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The effect of hydrochloric acid on a layered heterogeneous stratum is considered. In order to describe the changes in the filtration-capacitance properties of a porous medium, a model is used in the form of a bundle of cylindrical capillaries of various radii. A formula to determine the increasing rate of the radius of a pore channel is proposed, depending on its radius, a filtration rate, and the diffusion coefficient. The resulting system of equations is solved by a finite volume method on a uniform grid.
Keywords: porous medium; two-phase flow; function of pore scale distribution; capillary radius; control volume. 
@article{VMP_2013_14_1_a7,
     author = {T. R. Zakirov and A. I. Nikiforov},
     title = {Acid effect on multilayer oil reservoirs},
     journal = {Numerical methods and programming},
     pages = {50--57},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a7/}
}
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T. R. Zakirov; A. I. Nikiforov. Acid effect on multilayer oil reservoirs. Numerical methods and programming, Tome 14 (2013) no. 1, pp. 50-57. http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a7/