On an Algorithm for solving the inverse problem of ray seismics
We discuss the two-dimensional tomography problem of reconstructing velocity structure from travel times of seismic surface waves. We reduce this problem to that of searching a minimum solution of a set of linear inequalities in an infinite-dimensional space. We propose an iterative algorithm for solving this problem. Test examples illustrate this algorithm. Unlike many existing techniques, our algorithm does not involve solving any system of linear algebraic equations, a time-consuming operation when the dimension of the system is large. Thus our proposed algorithm is fast.