Transient gas or liquid flow along a preexisting or hydraulically-induced fracture in a permeable medium

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Similarity solutions are derived for the trasient two-dimensional flow of a gas or liquid along an isolated fracture in a permeable medium. The driving pressure at the fracture inlet is constant, and the confining stress is uniform. Two different cases are considered, pre-existing fractures with uniform aperture as well as hydraulic fractures with a variable aperture proportional to the local overpressure (fluid pressure less confining stress). The evolution of the pressure distribution is described by a set of four asymptotic solutions, each having a self-similar form. At early times the flow in the fracture is turbulent, and Darcian seepage losses ... continued below

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Pages: 46

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Nilson, R.H. & Morrison, F.A. Jr. May 1, 1985.

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Description

Similarity solutions are derived for the trasient two-dimensional flow of a gas or liquid along an isolated fracture in a permeable medium. The driving pressure at the fracture inlet is constant, and the confining stress is uniform. Two different cases are considered, pre-existing fractures with uniform aperture as well as hydraulic fractures with a variable aperture proportional to the local overpressure (fluid pressure less confining stress). The evolution of the pressure distribution is described by a set of four asymptotic solutions, each having a self-similar form. At early times the flow in the fracture is turbulent, and Darcian seepage losses into the porous surroundings are negligible. At late times the flow in the fracture is laminar, and seepage losses become a dominant consideration. At intermediate times there are two alternative asymptotes, depending upon physical parameters. The mathematical model also describe the flow along a fracture which is fulled with high-permeability porous material as well as the flow in an assemblage of porous blocks. 19 refs., 10 figs.

Physical Description

Pages: 46

Notes

NTIS, PC A03/MF A01.

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  • Other: DE86006719
  • Report No.: UCRL-15757
  • Report No.: SSS-R-86-7556
  • Grant Number: W-7405-ENG-48
  • DOI: 10.2172/6132359 | External Link
  • Office of Scientific & Technical Information Report Number: 6132359
  • Archival Resource Key: ark:/67531/metadc1108712

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • May 1, 1985

Added to The UNT Digital Library

  • Feb. 22, 2018, 7:45 p.m.

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  • March 20, 2018, 8:05 p.m.

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Nilson, R.H. & Morrison, F.A. Jr. Transient gas or liquid flow along a preexisting or hydraulically-induced fracture in a permeable medium, report, May 1, 1985; United States. (digital.library.unt.edu/ark:/67531/metadc1108712/: accessed October 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.