Sparse-Spike Seismic Inversion with Structural and Well Log Constraints

We present a method for performing poststack seismic inversion that makes use of both structural geologic information and well logs. We pose the problem in a mathematical framework of joint inversion, where we simultaneously solve several inverse problems. Joint inversion allows for well data to improve the deconvolution results and, conversely, allows the seismic data to improve the interpolation of well data. Kriging and trace-by-trace deconvolution are special cases of the joint inverse problem. The problem is very large dimensional. We make use of sparse matrix representations and fast iterative algorithms for solution. We also make use of structure tensors to guide well log extrapolation along observed geologic structures. This removes the time consuming process of earth model building.<br>