Wave Imaging Technology Inc.

Velocity Estimation for Wave Equation Depth Migration

Accurate specification of interval velocity is key to the success of depth migration. It is no surprise, then, that most of WIT's energy in processing goes toward velocity analysis. Since 2008, we have filed two US Patent applications on velocity analysis technology. Our two-phase program for depth migration velocity estimation relies on two unique technologies:
  • Migration Velocity Focusing Analysis (MVFA) - This is the first phase of our two-phase velocity analysis program. Depth Focusing Analysis predates ray-based reflection tomography algorithms that are now the industry norm, and fell out of favor primarily because 3D wave equation migration (WEM) was not computationally feasible in the early 1990's. Radically improved computational capabilities enable iterative application of 3D WEM. In 2008, we filed a US Patent Application on a novel implementation of Depth Focusing Analysis called MVFA. MVFA relates the time shift parameter from the time-shift imaging condition for one-way WEM to a velocity error in a novel way.

    In practice, we apply MVFA at more than 1000 shot locations throughout the model and have implemented technology to automatically pick velocity semblances on this multi-gigabyte volume of information. The picked velocities are then embedded into a 3D layer model which is smoothed in an intelligent, layer-consistent fashion. We find that MVFA offers the following advantages over conventional velocity update techniques:

    • Robust when the velocity is "far off" from the true velocity. In many cases, an offset or angle gather may not show a pretty parabolic curve up or down, but MVFA focusing panels indicate the direction of velocity error.
    • Robust when acquisition geometry is sparse or irregular.
    • Robust in certain situations, such as under salt, when angular illumination is limited.

  • WEM Angle Gather Update - This is the second phase of WIT's two-phase velocity analysis program. WIT filed a patent in 2009 on a method to measure the 3D propagation direction of a wavefield in a one-way WEM algorithm, and then to use the propagation direction vectors for the source and receiver wavefields in a shot record WEM to determine incidence angle, azimuth angle, and dip angle. In this fashion, we efficiently and directly form true angle gathers -- usually incidence angle gathers for the purposes of velocity analysis. WIT's method is vastly more efficient than many other methods in the literature. Running a WEM with angle decomposition produces a full volume of angle gathers. For instance, the user might desire incidence angles from 0 to 48 degrees, sampled at 4 degrees, or 12 angle volumes.

    The full volume angle gathers can be analyzed for residual curvature and used to update the velocity. Currently, we perform a parabolic velocity scan on the gathers and apply a vertical velocity update. The vertical update method is suited to resolve velocity inversions and sharp boundaries in areas with high S/N and lots of usable reflectors.

Examples

This image depicts a South Texas WEM image overlain with the velocity field obtained by WIT's two-phase procedure. 8 iterations of MVFA were run to estimate the background velocity field, followed by 3 iterations of WEM Angle Gather update to refine the details. Faults are shown on the image to underscore how WIT's workflows are able to resolve sharp velocity contrasts, both vertical inversions and lateral variations across faults.


This image depicts the seismic velocity measured on a South Louisiana example. The seismic velocity is plotted with a nearby checkshot. While the depth of the velocity inversions is different between the checkshot and seismic, notice how WIT's two-phase velocity workflow is able to correctly pick up three major pressure-induced velocity regressions.

Interested in reading more about WIT's velocity estimation technology?


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