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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 1.182 SNIP: 0.125 CiteScore™: 0.23

ISSN Print: 2152-2057
ISSN Online: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v7.i1.40
pages 45-70

MULTISCALE MODELING OF GAS FLOW THROUGH ORGANIC-RICH SHALE MATRIX

Viktoria L. Savatorova
University of Nevada Las Vegas, Las Vegas, Nevada; National Research Nuclear University "MEPhI", Moscow, Russia
Alexei V. Talonov
National Research Nuclear University "MEPhI", Moscow, Russia; National University of Science and Technology MISiS, Moscow, Russia
A. N. Vlasov
Institute of Applied Mechanics, Russian Academy of Sciences, 7 Leningradsky Ave., Moscow, 125040, Russian Federation
Dmitriy B. Volkov-Bogorodsky
Institute of Applied Mechanics, Russian Academy of Sciences, 7 Leningradsky Ave., Moscow, 125040, Russia

ABSTRACT

In this work, we study gas flow through shale matrix consisting of a microporous inorganic material and nanoporous organic material (kerogen). We apply a multiscale analysis to mass balance equations taking into account such processes as desorption of gas from nanopores in kerogen, diffusion, and filtration. As a result, we get a macroscopic initial boundary-value problem with effective coefficients. The effective coefficients are determined from the solution of a problem on representative elementary volume (REV or periodicity cell). They are influenced by the structure of shale matrix. The values of the effective coefficients depend on permeability and porosity, diffusivity of adsorbed and free gas, adsorption/desorption mechanism, and the concentration of kerogen. We study the free gas amount across the shale matrix as a function of coordinates and time. We conclude that due to the adsorbed-phase transport by the organic pore walls, the amount of gas in-place and gas production rate increase with the concentration of kerogen. We investigate both the Henry and Langmuir adsorption, and also the effect of nonlinearity caused by the dependence of matrix permeability on pressure.