He, Qinglong; Chen, Yong; Han, Bo; Li, Yang Elastic frequency-domain finite-difference contrast source inversion method. (English) Zbl 1382.65363 Inverse Probl. 32, No. 3, Article ID 035009, 25 p. (2016). Summary: In this work, we extend the finite-difference contrast source inversion (FD-CSI) method to the frequency-domain elastic wave equations, where the parameters describing the subsurface structure are simultaneously reconstructed. The FD-CSI method is an iterative nonlinear inversion method, which exhibits several strengths. First, the finite-difference operator only relies on the background media and the given angular frequency, both of which are unchanged during inversion. Therefore, the matrix decomposition is performed only once at the beginning of the iteration if a direct solver is employed. This makes the inversion process relatively efficient in terms of the computational cost. In addition, the FD-CSI method automatically normalizes different parameters, which could avoid the numerical problems arising from the difference of the parameter magnitude. We exploit a parallel implementation of the FD-CSI method based on the domain decomposition method, ensuring a satisfactory scalability for large-scale problems. A simple numerical example with a homogeneous background medium is used to investigate the convergence of the elastic FD-CSI method. Moreover, the Marmousi II model proposed as a benchmark for testing seismic imaging methods is presented to demonstrate the performance of the elastic FD-CSI method in an inhomogeneous background medium. MSC: 65N21 Numerical methods for inverse problems for boundary value problems involving PDEs 65N06 Finite difference methods for boundary value problems involving PDEs Keywords:elastic wave equation; finite-difference; contrast source inversion; inverse problems; frequency domain; full waveform inversion Software:PETSc; MUMPS PDFBibTeX XMLCite \textit{Q. He} et al., Inverse Probl. 32, No. 3, Article ID 035009, 25 p. (2016; Zbl 1382.65363) Full Text: DOI