Variation of amplitudes of body waves with epicentral distance is investigated. The amplitudes are much sensitive to velocity distribution within the earth than the travel-time curves. If the ray touches a boundary where the velocity is continuous but its gradient is discontinuous, the amplitudes at the surface show a drastic change due to the discontinuity. When both the velocity and its gradient are continuous, the variation of amplitudes is closely related to the variation of the second derivative of the velocity with depth. These imply that amplitude analysis in addition to travel-time analysis may give us detailed information about fine structure of the earth's interior.
When obtaining a smooth amplitude-distance curve by dividing the earth into many heterogeneous spherical shells where the velocity distribution by Bullen's law is assumed in each shell, thickness of about 200km gives rough but enough information when the deepest point of the ray is in the shell where the velocity varies slowly. For the ray whose deepest point is in the shell where the velocity varies largely, it is necessary to take much thinner shell, for example, in the C region, thickness of at least 20km is required.
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