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Self-similar solution of a fluid-dri...

Carbonell, Roberto Segundo.

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Self-similar solution of a fluid-driven fracture.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Self-similar solution of a fluid-driven fracture./
Author:	Carbonell, Roberto Segundo.
Description:	106 p.
Notes:	Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6353.
Contained By:	Dissertation Abstracts International57-10B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9709339
ISBN:	9780591167160

Self-similar solution of a fluid-driven fracture.
Carbonell, Roberto Segundo.

Self-similar solution of a fluid-driven fracture. - 106 p.

Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6353.

Thesis (Ph.D.)--University of Minnesota, 1996.

The research described in this thesis has focused on the development of a self-similar solution for the problem of a plane-strain fluid-driven fracture in an impermeable elastic medium, in the limiting case of zero toughness. The problem is solved semi-analytically, taking into account recent results that describe the near-tip behavior of a hydraulic fracture.

ISBN: 9780591167160Subjects--Topical Terms:

1018410
Applied Mechanics.

Self-similar solution of a fluid-driven fracture.
LDR:02248nam 2200289 a 45 001 969361
005 20110920
008 110921s1996 eng d
020 $a 9780591167160
035 $a (UMI)AAI9709339
035 $a AAI9709339
040 $a UMI $c UMI
100 1 $a Carbonell, Roberto Segundo. $3 1293414
245 1 0 $a Self-similar solution of a fluid-driven fracture.
300 $a 106 p.
500 $a Source: Dissertation Abstracts International, Volume: 57-10, Section: B, page: 6353.
502 $a Thesis (Ph.D.)--University of Minnesota, 1996.
520 $a The research described in this thesis has focused on the development of a self-similar solution for the problem of a plane-strain fluid-driven fracture in an impermeable elastic medium, in the limiting case of zero toughness. The problem is solved semi-analytically, taking into account recent results that describe the near-tip behavior of a hydraulic fracture.
520 $a The theory of elasticity provides a singular integral equation for the relation between the pressure and the fracture aperture. The fluid flow is modeled in accordance with lubrication theory. A similarity solution is derived for the coupled system, which allows the initial boundary value problem to be transformed into a self-similar form where time does not appears explicity. The lubrication equation is reduced to a non-linear algebraic equation by expressing the crack opening and the fracture pressure in terms of Jacobi polynomials, such that the elasticity equation is satisfied. Solution for crack opening, pressure within the crack, flow rate and fracture length are computed with any given degree of accuracy.
520 $a Comparison between this semi-analytical solution and results obtained with a numerical model (which can account for toughness and fluid lag) indicates a very good agreement between the two solutions when the rate of energy dissipated in the rock to propagate the fracture is less than 1% the energy dissipated in the fluid by viscous losses.
590 $a School code: 0130.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Civil. $3 783781
650 4 $a Engineering, Petroleum. $3 1018448
690 $a 0346
690 $a 0543
690 $a 0765
710 2 0 $a University of Minnesota. $3 676231
773 0 $t Dissertation Abstracts International $g 57-10B.
790 $a 0130
791 $a Ph.D.
792 $a 1996
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9709339