Combined Scaling of Fluid Flow and Seismic Stiffness in Single Fractures
The connection between fluid flow and seismic stiffness in single fractures is governed by the geometry of the fracture through the size and spatial distributions of the void and contact areas. Flow and stiffness each exhibit scaling behavior as the scale of observation shifts from local to global s...
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| Published in: | Rock mechanics and rock engineering Vol. 47; no. 5; pp. 1613 - 1623 |
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| Main Authors: | , , |
| Format: | Journal Article Conference Proceeding |
| Language: | English |
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01-09-2014
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| Abstract | The connection between fluid flow and seismic stiffness in single fractures is governed by the geometry of the fracture through the size and spatial distributions of the void and contact areas. Flow and stiffness each exhibit scaling behavior as the scale of observation shifts from local to global sample sizes. The purpose of this study was to explore the joint scaling of both properties using numerical models. Finite-size scaling methods are used to extract critical thresholds and power laws for fluid flow through weakly correlated fractures under increasing load. An important element in the numerical fracture deformation is the use of extended boundary conditions that simulate differences between laboratory cores relative to in situ field studies. The simulated field conditions enable joint scaling of flow and stiffness to emerge with the potential to extrapolate from small laboratory samples to behavior on the field scale. |
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| AbstractList | The connection between fluid flow and seismic stiffness in single fractures is governed by the geometry of the fracture through the size and spatial distributions of the void and contact areas. Flow and stiffness each exhibit scaling behavior as the scale of observation shifts from local to global sample sizes. The purpose of this study was to explore the joint scaling of both properties using numerical models. Finite-size scaling methods are used to extract critical thresholds and power laws for fluid flow through weakly correlated fractures under increasing load. An important element in the numerical fracture deformation is the use of extended boundary conditions that simulate differences between laboratory cores relative to in situ field studies. The simulated field conditions enable joint scaling of flow and stiffness to emerge with the potential to extrapolate from small laboratory samples to behavior on the field scale. Issue Title: Special Issue: Including Selected Papers from the 47th US Rock Mechanics/Geomechanics Symposium, San Francisco, June 23-26, 2013 The connection between fluid flow and seismic stiffness in single fractures is governed by the geometry of the fracture through the size and spatial distributions of the void and contact areas. Flow and stiffness each exhibit scaling behavior as the scale of observation shifts from local to global sample sizes. The purpose of this study was to explore the joint scaling of both properties using numerical models. Finite-size scaling methods are used to extract critical thresholds and power laws for fluid flow through weakly correlated fractures under increasing load. An important element in the numerical fracture deformation is the use of extended boundary conditions that simulate differences between laboratory cores relative to in situ field studies. The simulated field conditions enable joint scaling of flow and stiffness to emerge with the potential to extrapolate from small laboratory samples to behavior on the field scale.[PUBLICATION ABSTRACT] |
| Author | Pyrak-Nolte, L. J. Petrovitch, C. L. Nolte, D. D. |
| Author_xml | – sequence: 1 givenname: C. L. surname: Petrovitch fullname: Petrovitch, C. L. email: cpetrovitch@gmail.com organization: Applied Research Associates Inc – sequence: 2 givenname: L. J. surname: Pyrak-Nolte fullname: Pyrak-Nolte, L. J. organization: Department of Physics, Purdue University, School of Civil Engineering, Purdue University, Department of Earth, Atmospheric and Planetary Sciences, Purdue University – sequence: 3 givenname: D. D. surname: Nolte fullname: Nolte, D. D. organization: Department of Physics, Purdue University |
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| Cites_doi | 10.1007/BF01030216 10.1016/0148-9062(85)93227-9 10.1029/WR020i009p01209 10.1016/0148-9062(81)90006-1 10.1103/PhysRevA.44.6320 10.1098/rspa.1971.0108 10.1137/0914063 10.1007/BF00874483 10.1016/j.ijrmms.2004.01.003 10.1029/JZ070i002p00381 10.1016/0148-9062(92)93656-5 10.1029/95GL02666 10.1029/JB090iB07p05531 10.1016/0148-9062(83)90595-8 10.1016/S0020-7683(98)00116-4 10.1029/WR017i001p00191 10.1029/WR023i003p00467 10.1029/JB094iB07p09429 10.1029/WR016i006p01016 10.1016/S1365-1609(99)00104-5 10.1016/0148-9062(85)92952-3 10.1016/S0148-9062(96)00022-8 10.1007/BF00876344 10.1002/grl.50479 10.1029/GL015i011p01247 10.1007/BF00145263 10.1029/97JB02836 10.1007/BF01030008 10.1103/PhysRevE.56.5009 10.1115/1.3408648 10.1029/95GL01498 10.1029/GM024p0147 10.1098/rspa.1966.0242 10.1016/S1365-1609(99)00100-8 10.1029/2006WR005411 |
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| Keywords | Scaling Fracture deformation Fracture Rock fractures Hydromechanical scaling Finite size effect Deformation Rock mechanics Fracture mechanics Mechanical properties Modeling Flow(fluid) Hydromechanics Jointed rock Stiffness Coupling Hydraulic properties |
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| References | Yoshioka, Scholz (CR49) 1989; 94 Borodich, Onishchenko (CR3) 1999; 36 Nolte, Pyrak-Nolte (CR24) 1991; 44 Peitgen, Saupe (CR27) 1988 CR39 Brown, Scholz (CR5) 1985; 90 Cook (CR8) 1992; 29 Pyrak-Nolte, Cook, Nolte (CR33) 1988; 15 Glover, Matsuki, Hikima, Hayashi (CR12) 1998; 103 CR31 Raven, Gale (CR35) 1985; 22 Pyrak-Nolte, Morris (CR32) 2000; 37 Tsang (CR41) 1984; 20 Witherspoon, Wang, Iwai, Gale (CR46) 1980; 16 Bandis, Lumsden, Barton (CR1) 1983; 20 Zimmerman, Bodvarsson (CR50) 1996; 23 Barton, Bandis, Bakhtar (CR2) 1985; 22 CR9 CR48 CR47 Petrovitch, Nolte, Pyrak-Nolte (CR29) 2013; 40 CR45 CR40 Neuzil, Tracy (CR22) 1981; 17 Swan (CR38) 1983; 16 Tsang, Tsang (CR42) 1987; 23 Walsh (CR43) 1981; 18 CR18 Pyrak-Nolte (CR30) 1996; 33 Renshaw (CR36) 1995; 100 CR14 Ng, Peyton (CR23) 1993; 14 CR13 Walsh (CR44) 1965; 70 CR11 CR10 Lomize (CR19) 1951 CR015 Nolte, Pyrak-Nolte (CR25) 1997; 56 Nolte, Pyrak-Nolte, Cook (CR26) 1989; 131 Brown (CR4) 1989; 94 CR51 Schmidt, Lee (CR37) 1991; 63 CR28 Pyrak-Nolte, Myer, Nolte (CR34) 1992; 138 Kendall, Tabor (CR17) 1971; 323 CR21 Cheng, Morris, Tran, Lumsbaine, Giordano, Nolte, Pyrak-Nolte (CR7) 2004; 41 CR20 Jaeger, Cook, Zimmerman (CR16) 2007 Brown, Stockman, Reeves (CR6) 1995; 22 Hopkins (CR15) 1990 591_CR015 591_CR20 KE Schmidt (591_CR37) 1991; 63 CE Renshaw (591_CR36) 1995; 100 FM Borodich (591_CR3) 1999; 36 591_CR18 591_CR11 591_CR10 591_CR13 LJ Pyrak-Nolte (591_CR33) 1988; 15 NGW Cook (591_CR8) 1992; 29 591_CR14 JT Cheng (591_CR7) 2004; 41 591_CR31 SC Bandis (591_CR1) 1983; 20 H Peitgen (591_CR27) 1988 JB Walsh (591_CR44) 1965; 70 591_CR9 CL Petrovitch (591_CR29) 2013; 40 JB Walsh (591_CR43) 1981; 18 591_CR21 RW Zimmerman (591_CR50) 1996; 23 591_CR28 LJ Pyrak-Nolte (591_CR32) 2000; 37 DL Hopkins (591_CR15) 1990 591_CR40 N Yoshioka (591_CR49) 1989; 94 EG Ng (591_CR23) 1993; 14 G Swan (591_CR38) 1983; 16 LJ Pyrak-Nolte (591_CR30) 1996; 33 YW Tsang (591_CR42) 1987; 23 PA Witherspoon (591_CR46) 1980; 16 NR Barton (591_CR2) 1985; 22 LJ Pyrak-Nolte (591_CR34) 1992; 138 DD Nolte (591_CR24) 1991; 44 591_CR39 DD Nolte (591_CR26) 1989; 131 PWJ Glover (591_CR12) 1998; 103 SR Brown (591_CR4) 1989; 94 591_CR51 SR Brown (591_CR6) 1995; 22 K Kendall (591_CR17) 1971; 323 GM Lomize (591_CR19) 1951 S Brown (591_CR5) 1985; 90 CE Neuzil (591_CR22) 1981; 17 KG Raven (591_CR35) 1985; 22 JC Jaeger (591_CR16) 2007 YW Tsang (591_CR41) 1984; 20 591_CR45 DD Nolte (591_CR25) 1997; 56 591_CR48 591_CR47 |
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| Snippet | The connection between fluid flow and seismic stiffness in single fractures is governed by the geometry of the fracture through the size and spatial... Issue Title: Special Issue: Including Selected Papers from the 47th US Rock Mechanics/Geomechanics Symposium, San Francisco, June 23-26, 2013 The connection... |
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| SubjectTerms | Applied sciences Boundary conditions Buildings. Public works Civil Engineering Computation methods. Tables. Charts Computational fluid dynamics Computer simulation Earth and Environmental Science Earth Sciences Exact sciences and technology Fluid dynamics Fluid flow Fluids Fracture mechanics Fracture zones Geophysics/Geodesy Geotechnics Mathematical models Original Paper Rock Rock mechanics Rocks Seismology Soil mechanics. Rocks mechanics Spatial distribution Stiffness Structural analysis. Stresses Water effect, drainage, ground water lowering, filtration |
| Title | Combined Scaling of Fluid Flow and Seismic Stiffness in Single Fractures |
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