Microseismic Location Error Due to Eikonal Traveltime Calculation

Traveltime computation with the linearized eikonal equation

Traveltime computation is an important part of seismic imaging algorithms. Conventional implementations of Kirchhoff migration require precomputing traveltime tables or include traveltime calculation in the innermost computational loop . The cost of traveltime computations is especially noticeable in the case of 3-D prestack imaging where the input data size increases the level of nesting in co...

An eikonal based formulation for traveltime perturbation with respect to the source location a

Traveltime calculations amount to solving the nonlinear eikonal equation for a given source location. We analyze the relationship between the eikonal solution and its perturbations with respect to the source location and develop a partial differential equation that relates the traveltime field for one source location to that for a nearby source. This linear first-order equation in one form depe...

Short Note Traveltime computation with the linearized eikonal equation

Traveltime computation is an important part of seismic imaging algorithms. Conventional implementations of Kirchhoff migration require precomputing traveltime tables or include traveltime calculation in the innermost computational loop . The cost of traveltime computations is especially noticeable in the case of 3-D prestack imaging where the input data size increases the level of nesting in co...

Efficient traveltime solutions of the acoustic TI eikonal equation

Article history: Received 19 November 2013 Received in revised form 22 June 2014 Accepted 6 November 2014 Available online 13 November 2014

Gradient Calculation of the Traveltime Cost