Traveltime calculation in three dimensional transversely isotropic (3D TTI) media by the fast marching method

Inactive Publication Date: 2007-07-12
MAGNITUDE SPAS +1
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A number of problems arise du

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  • Traveltime calculation in three dimensional transversely isotropic (3D TTI) media by the fast marching method
  • Traveltime calculation in three dimensional transversely isotropic (3D TTI) media by the fast marching method
  • Traveltime calculation in three dimensional transversely isotropic (3D TTI) media by the fast marching method

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[0024] Disclosed herein is a method for calculation of first arrival traveltimes in three-dimensional transversely isotropic (3D TTI) media that is based on the fast marching method. The method disclosed is comparatively more accurate than other prior art techniques. Further, the method provides advantages in that certain beneficial aspects of the fast marching method are not perturbed. For example, the method preserves computational efficiency and substantial stability for any 3D TTI velocity model applied to isotropic media, wherein the model includes large velocity gradients and arbitrary orientation of symmetry axis. In addition, the method disclosed can be advantageously applied to a Kirchhoff pre-stack depth migration for 3D TTI media and to estimate TTI parameters for Vertical Seismic Profiling (VSP) data.

[0025] As depicted in FIG. 1, in typical embodiments, a sampling tool 20 is disposed within a wellbore 11. The sampling tool 20 is suspended by a wireline 12, typically fro...

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Abstract

A technique for calculating traveltime of a seismic wave in three dimensional tilted transversely isotropic (3D TTI) media includes determining a wave vector, defining a unit vector, calculating an angle of the wave vector from an axis and performing a slowness determination. The technique may be practiced as a computer implemented set of instructions, and may be incorporated into measurement equipment.

Description

CROSS REFERENCE TO RELATED APPLICATIONS [0001] This patent application claims priority from U.S. Provisional Patent Application Ser. No. 60 / 756,739 entitled “Traveltime Calculation in 3D TTI Media by the Fast Marching Method” filed on Jan. 9, 2006, the entire contents of which is incorporated by reference.BACKGROUND OF THE INVENTION [0002] 1. Field of the Invention [0003] The invention herein relates to techniques for resolving imaging data collected during geophysical exploration. [0004] 2. Background Information [0005] A number of problems arise during geophysical exploration. For example, resolving seismic wave propagation data in isotropic and anisotropic formations (media) has required elaborate modeling. One model is that of the Kirchhoff migration model. [0006] The traveltime calculation is the backbone of any Kirchhoff pre-stack depth migration. During the past decade, there have been numerous methods developed based upon the eikonal equation solver to calculate traveltimes ...

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Application Information

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IPC IPC(8): G06F19/00
CPCG01V1/305G01V1/303G01V1/48
Inventor LOU, MIN
Owner MAGNITUDE SPAS
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