TY - JOUR

T1 - Effect of Material Anisotropy on the Onset of Convective Flow in Three-Dimensional Fluid-Saturated Faults

AU - Zhao, Chongbin

AU - Hobbs, B. E.

AU - Ord, A.

AU - Mühlhaus, H. B.

AU - Lin, Ge

PY - 2003/2/1

Y1 - 2003/2/1

N2 - In order to investigate the effect of material anisotropy on convective instability of three-dimensional fluid-saturated faults, an exact analytical solution for the critical Rayleigh number of three-dimensional connective flow has been obtained. Using this critical Rayleigh number, effects of different permeability ratios and thermal conductivity ratios on convective instability of a vertically oriented three-dimensional fault have been examined in detail. It has been recognized that (1) if the fault material is isotropic in the horizontal direction, the horizontal to vertical permeability ratio has a significant effect on the critical Rayleigh number of the three-dimensional fault system, but the horizontal to vertical thermal conductivity ratio has little influence on the connective instability of the system, and (2) if the fault material is isotropic in the fault plane, the thermal conductivity ratio of the fault normal to plane has a considerable effect on the critical Rayleigh number of the three-dimensional fault system, but the effect of the permeability ratio of the fault normal to plane on the critical Rayleigh number of three-dimensional convective flow is negligible.

AB - In order to investigate the effect of material anisotropy on convective instability of three-dimensional fluid-saturated faults, an exact analytical solution for the critical Rayleigh number of three-dimensional connective flow has been obtained. Using this critical Rayleigh number, effects of different permeability ratios and thermal conductivity ratios on convective instability of a vertically oriented three-dimensional fault have been examined in detail. It has been recognized that (1) if the fault material is isotropic in the horizontal direction, the horizontal to vertical permeability ratio has a significant effect on the critical Rayleigh number of the three-dimensional fault system, but the horizontal to vertical thermal conductivity ratio has little influence on the connective instability of the system, and (2) if the fault material is isotropic in the fault plane, the thermal conductivity ratio of the fault normal to plane has a considerable effect on the critical Rayleigh number of the three-dimensional fault system, but the effect of the permeability ratio of the fault normal to plane on the critical Rayleigh number of three-dimensional convective flow is negligible.

KW - Analytical solution

KW - Convective instability

KW - Critical Rayleigh number

KW - Material anisotropy

KW - Three-dimensional fault

UR - http://www.scopus.com/inward/record.url?scp=0742305765&partnerID=8YFLogxK

U2 - 10.1023/A:1023283421049

DO - 10.1023/A:1023283421049

M3 - Article

AN - SCOPUS:0742305765

VL - 35

SP - 141

EP - 154

JO - Mathematical Geology

JF - Mathematical Geology

SN - 0882-8121

IS - 2

ER -