Sensitivity of time lapse seismic data to the compliance of hydraulic fractures
Name
Fang_etal__Sensitivity_of_time_lapse_seismic_data_to_fracture_compliance_in_hydraulic_fracturing.pdf
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282.05 KB
Format
Adobe PDF
Checksum (MD5)
b3af7aa77a411fc70055dde13cef8ad3
Author(s) • •
Fang, Xinding
Shang, Xuefeng
Fehler, Michael
Date Issued
2013
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;2013-02
Abstract
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.
Subjects
Scattering
Modeling
Fractures
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