A limited memory algorithm for bound constrained optimization
SIAM Journal on Scientific Computing
On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
Journal of Computational Physics
Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
| Hi-index | 31.45 |
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.