Real gas flow through heterogeneous porous media: theoretical aspects of upscaling |
| |
Authors: | D M Tartakovsky |
| |
Institution: | (1) Geoanalysis Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA, US |
| |
Abstract: | We consider the problem of upscaling transient real gas flow through heterogeneous bounded reservoirs. One of the commonly
used methods for deriving effective permeabilities is based on stochastic averaging of nonlinear flow equations. Such an approach,
however, would require rather restrictive assumptions about pressure-dependent coefficients. Instead, we use Kirchhoff transformation
to linearize the governing stochastic equations prior to their averaging. The linearized problem is similar to that used in
stochastic analysis of groundwater flow. We discuss the effects of temporal localization of the nonlocal averaged Darcy's
law, as well as boundary effects, on the upscaled gas permeability. Extension of the results obtained by means of small perturbation
analysis to highly heterogeneous porous formations is also discussed. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|