Stationary-phase analysis of time-shift extended imaging in a constant-velocity model

Mulder, W.A.

doi:10.1111/1365-2478.13496

Stationary-phase analysis of time-shift extended imaging in a constant-velocity model

Title

Stationary-phase analysis of time-shift extended imaging in a constant-velocity model

Author

Mulder, W.A. (TU Delft Applied Geophysics and Petrophysics; Shell Global Solutions International B.V.)

Date

2024

Abstract

To estimate the depth errors in a subsurface model obtained from the inversion of seismic data, the stationary-phase approximation in a two-dimensional constant-velocity model with a dipped reflector is applied to migration with a time-shift extension. This produces two asymptotic solutions: one is a straight line, and the other is a curve. If the velocity differs from the true one, a closed-form expression of the depth error follows from the depth and apparent dip of the reflector as well as the position of the amplitude peak at a non-zero time shift, where the two solutions meet and the extended migration image focuses. The results are compared to finite-frequency results from a finite-difference code. A two-dimensional synthetic example with a salt diapir illustrates how depth errors can be estimated in an inhomogeneous model after inverting the seismic data for the velocity model.

Subject

computing aspects
inverse problem
mathematical formulation
seismics
wave

To reference this document use:

http://resolver.tudelft.nl/uuid:98dbb10d-8911-49d2-8a36-17fc5be73129

DOI

https://doi.org/10.1111/1365-2478.13496

ISSN

0016-8025

Source

Geophysical Prospecting, 72 (5), 1555-1563

Part of collection

Institutional Repository