Direct simulation of electrical and hydraulic tortuosity in porous solids

Geophysical Research Letters - Tập 22 Số 17 - Trang 2333-2336 - 1995
Xiaodong Zhang1, Mark Knackstedt1
1Department of Applied Mathematics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia#TAB#

Tóm tắt

We directly evaluate the fluid‐flow and electrical conductivity of model three dimensional random porous medium at a microscopic level. This allows a direct test of the popular assumption that fluid‐flow and electrical current follow equivalent flow paths in porous solids. Visualisation of the fluid‐flow and electric‐current streamlines within identical porous samples show this assumption is incorrect. The tortuosity factors, characterising the geometry of the flow paths associated with fluid‐flow and electrical current transport, are directly evaluated. Fluid‐flow tortuosity is systematically larger than the electrical tortuosity, and can differ by as much as an order of magnitude at lower porosities.

Từ khóa


Tài liệu tham khảo

10.1016/0167-6636(86)90021-9

Carman P., 1937, Trans. Inst. Chem. Lond., 15, 150

Chen S., 1989, Lattice gas automata for flow through porous media, Physica, 47, 72

10.1029/93JB00522

David C., 1989, Proceedings of the Symposium Rock at Great Depth, 203

10.1016/B978-0-12-223651-8.50007-9

10.1103/PhysRevLett.56.1505

Kadanoff L., 1989, From automata to fluid flow: Comparisons of simulation and theory, Phys. Rev., 40, 10.1103/PhysRevA.40.4527

Knackstedt M., 1993, Cellular‐automata calculation of frequency‐dependent permeability of porous media, Phys. Rev. E, 45, 2541

10.1103/PhysRevE.50.2134

10.1016/0167-6636(83)90025-X

10.1190/1.1442482

10.1016/0009-2509(91)85122-E

Scheidegger A., 1974, The Physics of Flow Through Porous Media

Succi S., 1989, Three‐dimensional flows in complex geometries with the lattice Boltzmann method, Europhys. Lett., 8, 517

10.1029/JB089iB11p09425

10.1038/165972a0