Gaussian-packet based slope tomography assisted by demigration to common receiver gather

摘要

Gaussian-packet based tomography is a very interesting tomographic method. In the previously presented Gaussian-packet based traveltime reflection tomography, the traveltime difference is extracted by a cross correlation of the observed wave-packet and the simulated wave-packet in the shot gather. In this abstract, we present a novel Gaussian-packet based slope reflection tomography method, which is assisted by a Gaussian-packet based demigration to common receiver gather. This demigration is crucial to achieve this method. It is implemented based on an initial Gaussian-packet based shot-domain image consists of Gabor functions. The motivation to implement such a demigration is that we want the slope difference measured in common receiver gather (ΔP_(sx)) to be served as the only data space for this new method. As to the extraction of the slope difference (ΔP_(sx)), it will be calculated by a cross correlation of the observed wave-packet and simulated wave-packet in τ-p domain. Compared with the latest developed wave-equation Radon tomography, it is a pure slope based tomography method and the time-delay residual (Δτ) is not needed. We derived the gradient with respect to the new objective function. A typical synthetic example demonstrated the correctness of the derived gradient.