Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519345 | Journal of Computational Physics | 2011 | 17 Pages |
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.
► A 2D extension of the 1D nonlinear inversion of well-seismic data is given. ► Appropriate regularization yields a well-determined large scale inverse problem. ► An interlocked optimization loop acts as an efficient preconditioner. ► The adjoint state method is used to compute the misfit function gradient. ► Domain decomposition method yields an efficient parallel implementation.