Abstract
Summary A Fresnel volume approach is applied to represent wave propagation for seismic traveltime tomography instead of rays. A Fresnel volume is defined as a set of many waves delayed after the shortest traveltime by less than half a period. It is derived by calculating traveltimes both from a source and from a receiver. Tracing rays from sources to receivers is completely avoided. This considerably reduces computational time. We solved the eikonal equation by using a finite-difference method to calculate traveltimes. The advantage of this approach is as follows; First, the frequency of wave can be introduced into analysis. Therefore, we can evaluate the resolution of seismic tomography. Next, The smoothing feature can be naturally introduced. Finally, Fresnel volumes with finite bandwidth considerably reduces the sparseness of ray distribution (data kernel). These advantages make 3-D tomography analysis possible.
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