Fluid flow through rock joints: The effect of surface roughness

Journal Article · Tue Feb 10 04:00:00 EST 1987 · J. Geophys. Res.; (United States)

DOI:https://doi.org/10.1029/JB092iB02p01337· OSTI ID:6636138

Brown, S R

Fluid flow through rock joints is commonly described by the parallel plate model where the volume flow rate varies as the cube of the joint aperture. However, deviations from this model are expected because real joint surfaces are rough and contact each other at discrete points. To examine this problem further, a computer simulation of flow between rough surfaces was done. Realistic rough surfaces were generated numerically using a fractal model of surface topography. Pairs of these surfaces were placed together to form a ''joint'' with a random aperture distribution. Reynolds equation, which describes laminar flow between slightly nonplanar and nonparallel surfaces, was solved on the two-dimensional aperture mesh by the finite-difference method. The solution is the local volume flow rate through the joint. This solution was used directly in the cubic law to get the so-called ''hydraulic aperture.'' For various surface roughnesses (fractal dimensions) the hydraulic aperture was compared to the mean separation of the surfaces. At large separations the surface topography has little effect. At small separations the flow is tortuous, tending to be channeled through high-aperture regions. The parameter most affecting fluid flow through rough joints is the ratio of the mean separation between the surfaces to the root-mean-square height. This parameter describes the distance the surface asperities protrude into the fluid and accounts for most of the disagreement with the parallel plate model. Variations in the fractal dimension produce only a second-order effect on the fluid flow. For the range of joint closures only expected during elastic deformation these results show that the actual rate between rough surfaces is about 70--90% of that predicted by the parallel plate model. Copyright American Geophysical Union 1987

• Research Organization: Geophysics Group, Los Alamos National Laboratory, Los Alamos, New Mexico
• OSTI ID: 6636138
• Journal Information: J. Geophys. Res.; (United States), Journal Name: J. Geophys. Res.; (United States) Vol. 92:B2; ISSN JGREA
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580300* -- Mineralogy
Petrology
& Rock Mechanics-- (-1989)
COMPUTERIZED SIMULATION
CRACKS
FLUID FLOW
FRACTURE PROPERTIES
FRICTION FACTOR
GEOLOGIC FRACTURES
GEOLOGIC STRUCTURES
MECHANICAL PROPERTIES
ROUGHNESS
SIMULATION
SURFACE PROPERTIES