Interlocked optimization and fast gradient algorithm for a seismic inverse problem |
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Authors: | Ludovic Métivier |
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Institution: | LAGA, Université Paris XIII, 99 Avenue Jean-Baptiste Clément, 93000 Epinay-Villetaneuse, France |
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Abstract: | We give a nonlinear inverse method for seismic data recorded in a well from sources at several offsets from the borehole in a 2D acoustic framework. Given the velocity field, approximate values of the impedance are recovered. This is a 2D extension of the 1D inversion of vertical seismic profiles 18]. The inverse problem generates a large scale undetermined ill-conditioned problem. Appropriate regularization terms render the problem well-determined. An interlocked optimization algorithm yields an efficient preconditioning. A gradient algorithm based on the adjoint state method and domain decomposition gives a fast parallel numerical method. For a realistic test case, convergence is attained in an acceptable time with 128 processors. |
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Keywords: | Nonlinear inverse problem Optimization Adjoint state method High performance computing Seismic imaging High resolution |
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