Skip to main content
Top
Published in: Rock Mechanics and Rock Engineering 7/2020

13-04-2020 | Original Paper

An Experimental Study on Scale-Dependent Velocity and Anisotropy in Fractured Media Based on Artificial Rocks with Controlled Fracture Geometries

Authors: Pinbo Ding, Ding Wang, Xiang-Yang Li

Published in: Rock Mechanics and Rock Engineering | Issue 7/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The scale of the fractures can vary, making the seismic velocity and anisotropy substantially scale dependent. Two mechanisms of the scale-dependent phenomenon may be considered: scattering and wave-induced fluid flow. In this study, we measure the scale-dependent velocity and anisotropy effects through laboratory experiments on porous and non-porous artificial rocks containing aligned fractures. This allows us to isolate the effects of these two mechanisms for the first time, yielding some insights into the scale-dependent phenomenon. For short-wavelength waves, scattering dominates with less wave-induced fluid flow effects. For intermediate- and long-wavelength waves, the P-wave is strongly scale dependent mainly due to wave-induced fluid flow mechanism, and the slow shear-wave is also strongly scale dependent but due to both scattering and wave-induced fluid flow. However, the fast shear-wave is almost scale independent. Moreover, a multi-scale equivalent medium theory can model the P-wave propagation accurately.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Al-Harrasi OH, Kendall J-M, Chapman M (2011) Fracture characterization using frequency-dependent shear wave anisotropy analysis of microseismic data. Geophys J Int 185(2):1059–1070 Al-Harrasi OH, Kendall J-M, Chapman M (2011) Fracture characterization using frequency-dependent shear wave anisotropy analysis of microseismic data. Geophys J Int 185(2):1059–1070
go back to reference Backus GE (1962) Long-wave elastic anisotropy produced by horizontal layering. J Geophys Res 67(11):4427–4440 Backus GE (1962) Long-wave elastic anisotropy produced by horizontal layering. J Geophys Res 67(11):4427–4440
go back to reference Baird A, Kendall J, Angus D (2013) Frequency-dependent seismic anisotropy due to fractures: fluid flow versus scattering. Geophysics 78(2):WA111–WA122 Baird A, Kendall J, Angus D (2013) Frequency-dependent seismic anisotropy due to fractures: fluid flow versus scattering. Geophysics 78(2):WA111–WA122
go back to reference Barbier M, Hamon Y, Callot J-P, Floquet M, Daniel J-M (2012) Sedimentary and diagenetic controls on the multiscale fracturing pattern of a carbonate reservoir: The Madison Formation (Sheep Mountain, Wyoming, USA). Mar Petrol Geol 29(1):50–67 Barbier M, Hamon Y, Callot J-P, Floquet M, Daniel J-M (2012) Sedimentary and diagenetic controls on the multiscale fracturing pattern of a carbonate reservoir: The Madison Formation (Sheep Mountain, Wyoming, USA). Mar Petrol Geol 29(1):50–67
go back to reference Berryman JG (1980) Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions J Acoust Soc Am 68(6):1820–1831 Berryman JG (1980) Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions J Acoust Soc Am 68(6):1820–1831
go back to reference Berryman JG (1992) Single-scattering approximations for coefficients in Biot’s equations of poroelasticity. J Acoust Soc Am 91(2):551–571 Berryman JG (1992) Single-scattering approximations for coefficients in Biot’s equations of poroelasticity. J Acoust Soc Am 91(2):551–571
go back to reference Boness NL, Zoback MD (2004) Stress-induced seismic velocity anisotropy and physical properties in the SAFOD Pilot Hole in Parkfield. CA Geophys Res Lett 31(15):L15S17 Boness NL, Zoback MD (2004) Stress-induced seismic velocity anisotropy and physical properties in the SAFOD Pilot Hole in Parkfield. CA Geophys Res Lett 31(15):L15S17
go back to reference Carcione J, Kosloff D, Behle A (1991) Long-wave anisotropy in stratified media: a numerical test. Geophysics 56(2):245–254 Carcione J, Kosloff D, Behle A (1991) Long-wave anisotropy in stratified media: a numerical test. Geophysics 56(2):245–254
go back to reference Chapman M (2003) Frequency-dependent anisotropy due to meso-scale fractures in the presence of equant porosity. Geophys Prospect 51(5):369–379 Chapman M (2003) Frequency-dependent anisotropy due to meso-scale fractures in the presence of equant porosity. Geophys Prospect 51(5):369–379
go back to reference Chapman M (2009) Modeling the effect of multiple sets of mesoscale fractures in porous rock on frequency-dependent anisotropy. Geophysics 74(6):D97–D103 Chapman M (2009) Modeling the effect of multiple sets of mesoscale fractures in porous rock on frequency-dependent anisotropy. Geophysics 74(6):D97–D103
go back to reference Chapman M, Maultzsch S, Liu E, Li XY (2003) The effect of fluid saturation in an anisotropic multi-scale equant porosity model. J Appl Geophys 54(3):191–202 Chapman M, Maultzsch S, Liu E, Li XY (2003) The effect of fluid saturation in an anisotropic multi-scale equant porosity model. J Appl Geophys 54(3):191–202
go back to reference Chapman M, Zatsepin SV, Crampin S (2002) Derivation of a microstructural poroelastic model. Geophys J Int 151(2):427–451 Chapman M, Zatsepin SV, Crampin S (2002) Derivation of a microstructural poroelastic model. Geophys J Int 151(2):427–451
go back to reference Cheadle SP, Brown RJ, Lawton DC (1991) Orthorhombic anisotropy: A physical seismic modeling study. Geophysics 56(10):1603–1613 Cheadle SP, Brown RJ, Lawton DC (1991) Orthorhombic anisotropy: A physical seismic modeling study. Geophysics 56(10):1603–1613
go back to reference Cosentino L et al (2002) Integrated study of a fractured Middle East reservoir with stratiform super-K intervals-part 2: upscaling and dual-media simulation. Spe Reserv Eval Eng 5(01):24–32 Cosentino L et al (2002) Integrated study of a fractured Middle East reservoir with stratiform super-K intervals-part 2: upscaling and dual-media simulation. Spe Reserv Eval Eng 5(01):24–32
go back to reference de Dreuzy J-R, Davy P, Bour O (2001) Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. Effective Connectivity Water Resour Res 37(8):2065–2078 de Dreuzy J-R, Davy P, Bour O (2001) Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. Effective Connectivity Water Resour Res 37(8):2065–2078
go back to reference Dellinger J, Vernik L (1994) Do travel times in pulse-transmission experiments yield anisotropic group or phase velocities? Geophysics 59(11):1774–1779 Dellinger J, Vernik L (1994) Do travel times in pulse-transmission experiments yield anisotropic group or phase velocities? Geophysics 59(11):1774–1779
go back to reference Ding P, Di B, Wang D, Wei J, Li X (2014) P and S wave anisotropy in fractured media: experimental research using synthetic samples. J Appl Geophys 109:1–6 Ding P, Di B, Wang D, Wei J, Li X (2014) P and S wave anisotropy in fractured media: experimental research using synthetic samples. J Appl Geophys 109:1–6
go back to reference Ding P, Di B, Wang D, Wei J, Li X (2017) Measurements of seismic anisotropy in synthetic rocks with controlled crack geometry and different crack densities. Pure Appl Geophys 174(5):1907–1922 Ding P, Di B, Wang D, Wei J, Li X (2017) Measurements of seismic anisotropy in synthetic rocks with controlled crack geometry and different crack densities. Pure Appl Geophys 174(5):1907–1922
go back to reference Ding P, Wang D, Di G, Li X (2019) Investigation of the effects of fracture orientation and saturation on the Vp/Vs ratio and their implications. Rock Mech Rock Eng 52(9):3293–3304 Ding P, Wang D, Di G, Li X (2019) Investigation of the effects of fracture orientation and saturation on the Vp/Vs ratio and their implications. Rock Mech Rock Eng 52(9):3293–3304
go back to reference Ekanem AM, Wei J, Li X-Y, Chapman M, Main IG (2013) P-wave attenuation anisotropy in fractured media: a seismic physical modelling study. Geophys Prospect 61(s1):420–433 Ekanem AM, Wei J, Li X-Y, Chapman M, Main IG (2013) P-wave attenuation anisotropy in fractured media: a seismic physical modelling study. Geophys Prospect 61(s1):420–433
go back to reference Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond A 241(1226):376–396 Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond A 241(1226):376–396
go back to reference Fan LF, Gao JW, Wu ZJ, Yang SQ, Ma GW (2018) An investigation of thermal effects on micro-properties of granite by X-ray CT technique. Appl Therm Eng 140:505–519 Fan LF, Gao JW, Wu ZJ, Yang SQ, Ma GW (2018) An investigation of thermal effects on micro-properties of granite by X-ray CT technique. Appl Therm Eng 140:505–519
go back to reference Fan LF, Yi XW, Ma GW (2013) Numerical manifold method (NMM) simulation of stress wave propagation through fractured rock mass. Int J Appl Mech 05(02):1350022 Fan LF, Yi XW, Ma GW (2013) Numerical manifold method (NMM) simulation of stress wave propagation through fractured rock mass. Int J Appl Mech 05(02):1350022
go back to reference Hall SA, Kendall J-M, Maddock J, Fisher Q (2008) Crack density tensor inversion for analysis of changes in rock frame architecture. Geophys J Int 173(2):577–592 Hall SA, Kendall J-M, Maddock J, Fisher Q (2008) Crack density tensor inversion for analysis of changes in rock frame architecture. Geophys J Int 173(2):577–592
go back to reference Hudson JA (1981) Wave speeds and attenuation of elastic waves in material containing cracks. Geophys J R Astr Soc 64(1):133–150 Hudson JA (1981) Wave speeds and attenuation of elastic waves in material containing cracks. Geophys J R Astr Soc 64(1):133–150
go back to reference Hudson JA, Liu E, Crampin S (1996) The mechanical properties of materials with interconnected cracks and pores. Geophys J Int 124(1):105–112 Hudson JA, Liu E, Crampin S (1996) The mechanical properties of materials with interconnected cracks and pores. Geophys J Int 124(1):105–112
go back to reference Hudson JA, Pointer T, Liu E (2001) Effective-medium theories for fluid-saturated materials with aligned cracks. Geophys Prospect 49(5):509–522 Hudson JA, Pointer T, Liu E (2001) Effective-medium theories for fluid-saturated materials with aligned cracks. Geophys Prospect 49(5):509–522
go back to reference Jiang H-Y, Chen Z-B, Zeng X-X, Lv H, Liu X (2016) Velocity calibration for microseismic event location using surface data. Pet Sci 13(2):225–236 Jiang H-Y, Chen Z-B, Zeng X-X, Lv H, Liu X (2016) Velocity calibration for microseismic event location using surface data. Pet Sci 13(2):225–236
go back to reference Li JC, Li HB, Zhao J (2015a) An improved equivalent viscoelastic medium method for wave propagation across layered rock masses. Int J Rock Mech Min Sci 73:62–69 Li JC, Li HB, Zhao J (2015a) An improved equivalent viscoelastic medium method for wave propagation across layered rock masses. Int J Rock Mech Min Sci 73:62–69
go back to reference Li JC, Liu TT, Li HB, Liu YQ, Liu B, Xia X (2015b) Shear wave propagation across filled joints with the effect of interfacial shear strength. Rock Mech Rock Eng 48(4):1547–1557 Li JC, Liu TT, Li HB, Liu YQ, Liu B, Xia X (2015b) Shear wave propagation across filled joints with the effect of interfacial shear strength. Rock Mech Rock Eng 48(4):1547–1557
go back to reference Li JC, Rong LF, Li HB, Hong SN (2019) An SHPB test study on stress wave energy attenuation in jointed rock masses. Rock Mech Rock Eng 52:403–420 Li JC, Rong LF, Li HB, Hong SN (2019) An SHPB test study on stress wave energy attenuation in jointed rock masses. Rock Mech Rock Eng 52:403–420
go back to reference Liu RC, Jiang YJ, Huang N, Sugimoto S (2018) Hydraulic properties of 3D crossed rock fractures by considering anisotropic aperture distributions. Adv Geo-Energy Res 2(2):113–121 Liu RC, Jiang YJ, Huang N, Sugimoto S (2018) Hydraulic properties of 3D crossed rock fractures by considering anisotropic aperture distributions. Adv Geo-Energy Res 2(2):113–121
go back to reference Mavko G, Mukerji T, Dvorkin J (2009) The rock physics handbook: tools for seismic analysis of porous media, 2nd edn. Cambridge University Press, California Mavko G, Mukerji T, Dvorkin J (2009) The rock physics handbook: tools for seismic analysis of porous media, 2nd edn. Cambridge University Press, California
go back to reference Nicolas A, Christensen NI (1987) Formation of anisotropy in upper mantle peridotites—a review. In: Fuchs K, Froidevaux C (eds) Composition, structure and dynamics of the lithosphere-asthenosphere system. American Geophysical Union, pp 111–123. doi: 10.1029/GD016p0111 Nicolas A, Christensen NI (1987) Formation of anisotropy in upper mantle peridotites—a review. In: Fuchs K, Froidevaux C (eds) Composition, structure and dynamics of the lithosphere-asthenosphere system. American Geophysical Union, pp 111–123. doi: 10.1029/GD016p0111
go back to reference Pan B-Z, Yuan M-X, Fang C-H, Liu W-B, Guo Y-H, Zhang L-H (2017) Experiments on acoustic measurement of fractured rocks and application of acoustic logging data to evaluation of fractures. Pet Sci 14(3):520–528 Pan B-Z, Yuan M-X, Fang C-H, Liu W-B, Guo Y-H, Zhang L-H (2017) Experiments on acoustic measurement of fractured rocks and application of acoustic logging data to evaluation of fractures. Pet Sci 14(3):520–528
go back to reference Pyrak-Nolte LJ, Nolte DD (1992) Frequency dependence of fracture stiffness. Geophys Res Lett 19(3):325–328 Pyrak-Nolte LJ, Nolte DD (1992) Frequency dependence of fracture stiffness. Geophys Res Lett 19(3):325–328
go back to reference Schoenberg M, Sayers CM (1995) Seismic anisotropy of fractured rock. Geophysics 60(1):204–211 Schoenberg M, Sayers CM (1995) Seismic anisotropy of fractured rock. Geophysics 60(1):204–211
go back to reference Stephenson BJ, Koopman A, Hillgartner H, McQuillan H, Bourne S, Noad JJ, Rawnsley K (2007) Structural and stratigraphic controls on fold-related fracturing in the Zagros Mountains, Iran: Implications for reservoir development. In: Lonergan L, Jolly RJH, Rawnsley K, Sanderson DJ (eds) Fractured Reservoirs, vol 270. vol 1. Geological Society, London, pp 1–21. doi: 10.1144/gsl.sp.2007.270.01.01 Stephenson BJ, Koopman A, Hillgartner H, McQuillan H, Bourne S, Noad JJ, Rawnsley K (2007) Structural and stratigraphic controls on fold-related fracturing in the Zagros Mountains, Iran: Implications for reservoir development. In: Lonergan L, Jolly RJH, Rawnsley K, Sanderson DJ (eds) Fractured Reservoirs, vol 270. vol 1. Geological Society, London, pp 1–21. doi: 10.1144/gsl.sp.2007.270.01.01
go back to reference Thomsen L (1986) Weak elastic anisotropy. Geophysics 51(10):1954–1966 Thomsen L (1986) Weak elastic anisotropy. Geophysics 51(10):1954–1966
go back to reference Tillotson P, Chapman M, Sothcott J, Best AI, Li X-Y (2014) Pore fluid viscosity effects on P- and S-wave anisotropy in synthetic silica-cemented sandstone with aligned fractures. Geophys Prospect 62(6):1238–1252 Tillotson P, Chapman M, Sothcott J, Best AI, Li X-Y (2014) Pore fluid viscosity effects on P- and S-wave anisotropy in synthetic silica-cemented sandstone with aligned fractures. Geophys Prospect 62(6):1238–1252
go back to reference Tran NH, Chen Z, Rahman SS (2006) Integrated conditional global optimisation for discrete fracture network modelling. Comput Geosci-UK 32(1):17–27 Tran NH, Chen Z, Rahman SS (2006) Integrated conditional global optimisation for discrete fracture network modelling. Comput Geosci-UK 32(1):17–27
go back to reference Verdon JP, Kendall JM (2011) Detection of multiple fracture sets using observations of shear-wave splitting in microseismic data. Geophys Prospect 59(4):593–608 Verdon JP, Kendall JM (2011) Detection of multiple fracture sets using observations of shear-wave splitting in microseismic data. Geophys Prospect 59(4):593–608
go back to reference Wang D, Qu SL, Zhao Q, Yin XY, Zhou F (2017) Laboratory studies of ultrasonic wave response of fractures with different lengths: Anisotropy characteristics and coda analysis. Ultrasonics 80(Supplement C):101–112 Wang D, Qu SL, Zhao Q, Yin XY, Zhou F (2017) Laboratory studies of ultrasonic wave response of fractures with different lengths: Anisotropy characteristics and coda analysis. Ultrasonics 80(Supplement C):101–112
go back to reference Wang Y (2011) Seismic anisotropy estimated from P-wave arrival times in crosshole measurements. Geophys J Int 184(3):1311–1316 Wang Y (2011) Seismic anisotropy estimated from P-wave arrival times in crosshole measurements. Geophys J Int 184(3):1311–1316
go back to reference Yousef BM, Angus DA (2016) When do fractured media become seismically anisotropic? Some implications on quantifying fracture properties. Earth Planet Sc Lett 444:150–159 Yousef BM, Angus DA (2016) When do fractured media become seismically anisotropic? Some implications on quantifying fracture properties. Earth Planet Sc Lett 444:150–159
Metadata
Title
An Experimental Study on Scale-Dependent Velocity and Anisotropy in Fractured Media Based on Artificial Rocks with Controlled Fracture Geometries
Authors
Pinbo Ding
Ding Wang
Xiang-Yang Li
Publication date
13-04-2020
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 7/2020
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-020-02095-2

Other articles of this Issue 7/2020

Rock Mechanics and Rock Engineering 7/2020 Go to the issue