Time-lapse traveltime change of singly scattered acoustic waves |
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Authors: | C Pacheco R Snieder |
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Institution: | Center for Wave Phenomena, Department of Geophysics, Colorado School of Mines, Golden, CO, 80401,;USA. E-mail: |
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Abstract: | We present a technique based on the single-scattering approximation that relates time-lapse localized changes in the propagation velocity to changes in the traveltime of singly scattered waves. We describe wave propagation in a random medium with homogeneous statistical properties as a single-scattering process where the fluctuations of the velocity with respect to the background velocity are assumed to be weak. This corresponds to one of two end-member regimes of wave propagation in a random medium, the first being single scattering, and the second multiple scattering. We present a formulation that relates the change in the traveltime of the scattered waves to a localized change in the propagation velocity by means of the Born approximation for the scattered wavefield. We validate the methodology with synthetic seismograms calculated with finite differences for 2-D acoustic waves. Potential applications of this technique include non-destructive evaluation of heterogeneous materials and time-lapse monitoring of heterogeneous reservoirs. |
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Keywords: | Born approximation random media scattering |
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