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Joint Laplace- and Fourier-Domain Seismic Inversion for Orthorhombic Medium Parameter Estimates | IEEE Journals & Magazine | IEEE Xplore

Joint Laplace- and Fourier-Domain Seismic Inversion for Orthorhombic Medium Parameter Estimates


Abstract:

Two sets of rotationally invariant, horizontal, and vertical fractures permeated in a homogeneous isotropic background rock can yield a long-wavelength effective orthorho...Show More

Abstract:

Two sets of rotationally invariant, horizontal, and vertical fractures permeated in a homogeneous isotropic background rock can yield a long-wavelength effective orthorhombic medium. Amplitude variation with angle and azimuth (AVAZ) inversion is an effective tool to invert azimuthal seismic data for orthorhombic medium parameters. Given the inherently band-limited nature of real seismic data, orthorhombic AVAZ inversion without reasonable model constraints is a challenging task to obtain stable and reliable estimated results. In this article, we have developed a novel joint Laplace- and Fourier-domain seismic inversion method to estimate P- and S-wave velocities, density, and horizontal and vertical fracture densities. The orthorhombic AVAZ seismic forward modeling in the Laplace domain is established by introducing the Fourier and damping operators. We present a two-step strategy for joint Laplace- and Fourier-domain seismic inversion in a Bayesian inference framework. First, we perform the Laplace-domain seismic inversion to obtain long-wavelength models of elastic parameters and fracture parameters by exploiting the low-frequency components of the damped azimuthal seismic data. Second, with the Laplace-domain inversion results as initial models, the Fourier-domain seismic inversion is implemented to obtain complete inversion results, where all frequency components of original azimuthal seismic data are employed. We demonstrate the feasibility of our method through a synthetic data example and an application of a field dataset acquired over a fractured shale reservoir. Meanwhile, we compare our method with the Fourier-domain seismic inversion, results show that our method can yield more reasonable estimated results of orthorhombic medium parameters than the Fourier-domain seismic inversion.
Article Sequence Number: 4502110
Date of Publication: 17 January 2024

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