Gradient calculation of the traveltime cost function without ray tracing
Conference
·
OSTI ID:89749
- Rice Univ., Houston, TX (United States)
Gradient based traveltime tomography algorithms require the computation of the gradient of the traveltime misfit cost function many times. This calculation is customarily done by ray tracing, the path length of the rays being closely related to the gradient. The authors propose in this work an alternative method to compute the gradient of the traveltime cost function without ray tracing. They use upwind finite difference schemes to compute the traveltime field by solving the eikonal equation. Then by adjoint state techniques they derive a closed-form expression of the gradient of the traveltime cost function. This approach allows an accurate computation of the gradient as well as the freedom to change the norm on the model space.
- OSTI ID:
- 89749
- Report Number(s):
- CONF-941015--
- Country of Publication:
- United States
- Language:
- English
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