| Автор | Tsang, Y. W. |
| Автор | Witherspoon, P. A. |
| Дата выпуска | 1981 |
| dc.description | A simple physical model is developed to understand the effect of normal stress on fluid flow through a single fracture. Roughness along the fracture walls plays a definite role in controlling the flow. In the usual parallel plate representation for a fracture, the flow is proportional to the cube of the constant aperture, b. However, when the effect of fracture roughness is taken into account, the flow follows an equivalent ‘cubic’ law where the cube of the single value for the aperture must be replaced by an appropriately weighted average 〈b<sup>3</sup>〉. To obtain this average value, a physical model was developed wherein the single fracture is represented by a collection of voids and the closure of the fracture results from a deformation of these voids. The model enables one to characterize the fracture roughness from a relationship between the stress‐displacement measurements of intact rock and those of jointed rock. This calculated value of 〈b<sup>3</sup>〉 leads to flow rate as a function of normal stress. Predicted flow rates using this model are in good agreement with results from laboratory data on granite and basalt. By making several simplifying physical assumptions, we have eliminated the necessity of incorporating fitting parameters to the flow data. In this manner, a basic understanding of the factors controlling the flow of fluids through fractures has been obtained. |
| Формат | application.pdf |
| Копирайт | Copyright 1981 by the American Geophysical Union. |
| Тема | HYDROLOGY |
| Тема | Groundwater hydrology |
| Тема | Groundwater/surface water interaction |
| Тема | Groundwater quality |
| Тема | Groundwater transport |
| Тема | PHYSICAL PROPERTIES OF ROCKS |
| Тема | Physical Properties of Rocks: Elasticity, fracture, and flow |
| Название | Hydromechanical behavior of a deformable rock fracture subject to normal stress |
| Тип | article |
| DOI | 10.1029/JB086iB10p09287 |
| Electronic ISSN | 2156-2202 |
| Print ISSN | 0148-0227 |
| Журнал | Journal of Geophysical Research: Solid Earth |
| Том | 86 |
| Первая страница | 9287 |
| Последняя страница | 9298 |
| Выпуск | B10 |
| Библиографическая ссылка | Bear, J., Dynamics of Fluids in Porous Media, Elsevier, New York, 1972. |
| Библиографическая ссылка | Boussinesq, J., Mémoire sur l'infiuence des frottments dans les mouvements réguliers des fluids, J. Liouville, 13, 377–424, 1868. |
| Библиографическая ссылка | Gangi, A. F., Variation of whole and fractured porous rock permeability with confining pressure, Int. J. Rock Mech. Min. Sci., 15, 249–257, 1978. |
| Библиографическая ссылка | Goodman, R. E., The mechanical properties of joints, Proceedings of the Third CongressInternational Society for Rock Mechanics, Denver, Colo., 1974. |
| Библиографическая ссылка | Goodman, R. E., Method of Geological Engineering in Discontinuous Rocks, West Publishing, New York, 1976. |
| Библиографическая ссылка | Iwai, K., Fundamental studies of the fluid flow through a single fracture, Ph.D. thesis,Univ. of Calif.,Berkeley,1976. |
| Библиографическая ссылка | Kranz, R. L., A. D.Frankel, T.Engelder, C. H.Scholz, The permeability of whole and jointed Barre granite, Int. J. Rock. Mech. Min. Sci., 16, 225–234, 1979. |
| Библиографическая ссылка | Lomize, G. M., Filtratsiya V Treshchinovatykh Porodakh, Gosenergoizdat, Moscow, 1951. |
| Библиографическая ссылка | Louis, C., A study of groundwater flow in jointed rock and its influence on the stability of rock massesRep. 10Imp. Coll. Rock Mech. Res., London, 1969. |
| Библиографическая ссылка | Nelson, R., Fracture permeability in porous reservoirs: Experimental and field approach, Ph.D. dissertation,Tex. A&M Univ.,College Station,1975. |
| Библиографическая ссылка | Ohnishi, Y., Laboratory measurement of induced water pressures in jointed rock, Ph.D. thesis,Univ. of Calif,Berkeley,1973. |
| Библиографическая ссылка | Romm, E. S., Filtratsionnye Svoistva Treshchinovatykh Gornyx Porod, Nedra, Moscow, 1966. |
| Библиографическая ссылка | Sharp, J. C., Fluid flow through fissured media, Ph.D. thesis,Imp. Coll. of Sci. and Technol., London,1970. |
| Библиографическая ссылка | Snow, D. T., A parallel plate model of fractured permeable media, Ph.D. thesis,Univ. of Calif,Berkeley,1965. |
| Библиографическая ссылка | Walsh, J. B., The effect of cracks on the uniaxial elastic compression of rocks, J. Geophys. Res., 70, 399–411, 1965. |
| Библиографическая ссылка | Witherspoon, P. A., J. S. Y.Wang, K.Iwai, J. E.Gale, Validity of cubic law for fluid flow in a deformable rock fracture, Water Resour. Res., 166, 1016–1024, 1980. |