Dynamic Fluid Flow In Heterogeneous Porous Media And Through A Single Fracture With Rough Surfaces
Name
1992.7 Zhao et al.pdf
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582.21 KB
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Checksum (MD5)
49382d0ce63ab763f10cdb745951be1b
Author(s)
Zhao, Xiaomin
Cheng, C. H.
Tang, Xiaoming
Toksoz, M. Nafi
Date Issued
1992
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;1992-07
Abstract
This study investigates the frequency-dependence of fluid flow in heterogeneous porous
media using the theory of dynamic permeability and a finite-difference method. Given
a permeability distribution, the dynamic permeability is applied locally to calculate
the frequency-dependence of fluid flow at each local point. An iterative Alternating
Direction Implicit finite-difference technique is applied to calculate the flow field in the frequency domain. We compare the flow through a 2-D heterogeneous porous medium
and that through an equivalent homogeneous medium and find that the two media
do not behave equivalently as a function of frequency. At very low-frequencies, the
heterogeneous medium is less conductive than the homogeneous medium, However, in
the transition region from quasi-static to dynamic regimes, the former medium becomes
more conductive than the latter medium, with the ratio of the former flow over the latter
flow reaching a maximum in this region. The larger the scale, or the higher the degree
of the heterogeneity, the higher this maximum is. This finding is important for studying
the interaction of a borehole stoneley wave with a heterogeneous porous formation.
The finite-difference technique is also applied to simulate frequency-dependent flow
through a single fracture with rough surfaces. It is shown that the flow exhibits strong
frequency-dependence even for small fractures with contacting surfaces. The amount of
flow through the fracture is reduced by the surface roughness .
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