For homogeneous isotropic or anisotropic media, the offset-midpoint traveltime surface resembles the shape of Cheop’s pyramid. We propose an analytic approximation for the P-wave offset-midpoint traveltime pyramid for orthorhombic media. In this approximation, the perturbation expansion and Shanks transform are implemented to obtain the horizontal slowness components of P-waves in orthorhombic media. Numerical examples illustrate the azimuthal variations of the proposed traveltime pyramid and its accuracy test on a horizontal orthorhombic layer. The proposed offset-midpoint traveltime equation is useful for P-wave prestack Kirchhoff time migration in orthorhombic media.


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