Abstract
Summary Further development of the theory and practice of the method for solving the inverse problem of seismology suggested in Bessonova et al. is described in this paper. The problem is formulated as follows: the travel times of body waves are given at a discrete set of points, and we are required to find in the (V, Y) plane (V is the velocity and Y is the depth) the closed area which contains all velocity-depth curves corresponding to the given data. A spherically symmetric model is assumed and a lower limit for the velocity in the low velocity zones is postulated. The method is based on the use of the function τ(p) =T(p) –pX (p), p being the ray parameter, T the travel time, and X the epicentral distance. A new formula which expresses the velocity-depth curve in terms of the function τ(p) is used to construct the required area. A statistical method of interpretation allows us to construct the confidence region which contains the velocity-depth curve at a given confidence level. Application of the method is illustrated using earthquake data to investigate the velocity distribution in the mantle.
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