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Thermal effects on fluid flow and hydraulic fracturing from wellbores and cavities in low-permeability formations. (English) Zbl 0973.76086

Summary: We consider the coupled heat-fluid-stress problem of circular wellbore or spherical cavity subjected to a constant temperature change and a constant fluid flow rate. Transient analytical solutions for temperature, pore pressure and stress are developed by coupling conductive heat transfer with Darcy fluid flow in a poroelastic medium. They are applicable to low permeability porous media suitable for liquid-waste disposal and also for the simulation of reservoirs for enhanced oil recover, where conduction dominates the heat transfer process. A full range of solutions is presented showing separately the effects of temperature and fluid flow on pore pressure and stress development. It is shown that injection of warm fluid can be used to restrict fracture development around wellbores and cavities, and generally to optimize the fluid injection operation. Both the limitations of the solutions and the convective flow effect are addressed.

MSC:

76S05 Flows in porous media; filtration; seepage
74E05 Inhomogeneity in solid mechanics
86A05 Hydrology, hydrography, oceanography
85A20 Planetary atmospheres
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