The true-amplitude one-way wave equation suggested recently is both dynamically and kinematically correct. This one-way wave equations produces accurate traveltime in accordance to the eikonal equation and accurate amplitudes in accordance to the transport equation for the two-way wave equation. In laterally inhomogeneous media the implementation of this true-amplitude one-way wave equation involves the numeric calculation of a differential-integral operator that can be approximated by summation and solved by finite-difference methods. In only depth-dependent media, the new term in the one-way wave equation can be eliminated and the new one-way wave equations can be solved using the conventional phase-shift method with the appropriated boundary and imaging condition, reduced to products in the Fourier domain. Here, we present an extension of phase shift plus interpolation (PSPI) migration for true-amplitude migration based in the phase-shift true-amplitude migration developed in depth-dependent media. Numerical tests in the common shot domain with the new PSPI true-amplitude method and the Extended split-step PSPI-SS proposed were compared with the output of the conventional PSPI and PSPI-SS. The imaging quality in relation to amplitude is better with the proposed methods and the kinematic part is preserved.
common-shot migration; true-amplitude migration; one-way wave equations; depth migration; PSPI migration; PSPI-SS migration
