Sensitivity of Time Lapse Seismic Data to the Compliance of Hydraulic Fractures

We study the sensitivity of seismic waves to changes in the fracture normal and tangential compliances by analyzing the fracture sensitivity wave equation, which is derived by differentiating the elastic wave equation with respect to the fracture compliance. The sources for the sensitivity wavefield are the sensitivity moments, which are functions of fracture compliance, background elastic properties and the stress acting on the fracture surface. Based on the analysis of the fracture sensitivity wave equation, we give the condition for the weak scattering approximation to be valid for fracture scattering. Under the weak scattering approximation, we find that the percentage change of fracture compliance in hydraulic fracturing is equal to the percentage change of the recorded time-lapse seismic data. This could provide a means for monitoring the opening/closing of fractures in hydraulic fracturing through time-lapse seismic surveys.

[1]  Rodney Calvert,et al.  Insights and Methods for 4D Reservoir Monitoring and Characterization , 2005 .

[2]  Tianrun Chen,et al.  Sensitivity analysis of fracture scattering , 2010 .

[3]  Xuefeng Shang,et al.  Advancing the Use of Rapid Time Lapse Shear Wave VSPs for Capturing Diffractions to Find Hydraulic Fracture Dimensions , 2012 .

[4]  D. Burns,et al.  Seismic characterization of fractured reservoirs using 3D double beams , 2012 .

[5]  Michael Schoenberg,et al.  Seismic Anisotropy of Fractured Rocks , 1993 .

[6]  Karl B. Coyner,et al.  Experimental determination of elastic anisotropy of Berea Sandstone, Chicopee Shale, and Chelmsford Granite , 1986 .

[7]  Lianjie Huang,et al.  Optimal designs of time-lapse seismic surveys for monitoring CO2 leakage through fault zones , 2012 .

[8]  Huseyin Denli,et al.  Elastic-wave sensitivity propagation , 2010 .

[9]  Fuxian Song,et al.  Full-waveform based complete moment tensor inversion and source parameter estimation from downhole microseismic data for hydrofracture monitoring , 2011 .

[10]  D. Dewhurst,et al.  Impact of fabric, microcracks and stress field on shale anisotropy , 2006 .

[11]  M. H. Worthington,et al.  Laboratory estimates of normal and shear fracture compliance , 2008 .

[12]  Dennis Denney,et al.  Thirty Years of Gas-Shale Fracturing: What Have We Learned? , 2010 .

[13]  M. Schoenberg.  Elastic wave behavior across linear slip interfaces , 1980 .

[14]  P. Rasolofosaon,et al.  Evaluation of Fracture Parameters And Fluid Content From Seismic And Well Data , 2008 .

[15]  Rongrong Lu,et al.  Fracture Quality From Integrating Time-Lapse VSP and Microseismic Data , 2007 .

[16]  T. Mukerji,et al.  The Rock Physics Handbook , 1998 .

[17]  George E. King,et al.  Thirty Years of Gas Shale Fracturing: What Have We Learned? , 2010 .

[18]  L. V. D. Meer,et al.  Monitoring of CO2 injected at Sleipner using time-lapse seismic data , 2004 .

[19]  Tianrun Chen,et al.  SH wave scattering from 2-D fractures using boundary element method with linear slip boundary condition , 2012 .

[20]  D. Makarynska,et al.  Are penny-shaped cracks a good model for compliant porosity? , 2009 .

[21]  Mark E. Willis,et al.  Spatial Orientation And Distribution Of Reservoir Fractures From Scattered Seismic Energy Shortened title : Fracture characterization from coda waves , 2004 .

[22]  A. D. Taleghani,et al.  The effect of mineralization on the ratio of normal to tangential compliance of fractures , 2009 .

[23]  Christopher A. Wright,et al.  Optimizing Horizontal Completion Techniques in the Barnett Shale Using Microseismic Fracture Mapping , 2004 .

[24]  M. Schoenberg,et al.  Seismic anisotropy of fractured rock , 1995 .

[25]  T. K. Perkins,et al.  Widths of Hydraulic Fractures , 1961 .

[26]  Yingcai Zheng,et al.  Reservoir Fracture Characterizations From Seismic Scattered Waves , 2012 .

[27]  Mark E. Willis,et al.  Spatial Orientation And Distribution of Reservoir Fractures From Scattered Seismic Energy , 2004 .