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- W1967195576 abstract "Similarity solutions are derived for wedge-shaped hydraulic fractures driven by a constant inlet pressure P0 into a permeable medium under a uniform confining stress σ. These results describe the seepage-dominated regime in which most of the injected fluid is lost into the permeable walls of the fracture; they complement previous results for the capacitance-dominated regime in which seepage is negligible. Fracture propagation velocity is obtained as an analytical function of fracture length, driving pressure, confining stress, material properties and a single separation constant or eigenvalue which is determined numerically. Self-similar profiles of pressure, opening displacement and fluid velocity along the fracture are presented, together with the self-similar isobars of the two-dimensional pressure field within the permeable medium. Comprehensive results are reported for laminar or turbulent flow of a constant-compressibility liquid or an ideal gas driven by overpressures (P0−σ)/σ ranging from 10−2 to 102." @default.
- W1967195576 created "2016-06-24" @default.
- W1967195576 creator A5053716436 @default.
- W1967195576 date "1988-09-01" @default.
- W1967195576 modified "2023-09-27" @default.
- W1967195576 title "Similarity solutions for wedge-shaped hydraulic fractures driven into a permeable medium by a constant inlet pressure" @default.
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- W1967195576 doi "https://doi.org/10.1002/nag.1610120503" @default.
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