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INTERPOLATION OF PERIODIC DATA

  • US 20110191032A1
  • Filed: 01/29/2010
  • Published: 08/04/2011
  • Est. Priority Date: 01/29/2010
  • Status: Active Grant
First Claim
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1. A method for interpolating seismic data, comprising:

  • receiving data acquired at one or more locations, wherein the data represents subterranean formations in the earth;

    selecting one or more of the locations, wherein the selected locations are within a vicinity of an interpolation location;

    forming a matrix of interpolation coefficients based on a first function having one or more interpolation variables, a bandwidth for an interpolation operator and one or more differences between the selected locations, wherein at least one of the interpolation variables is periodic;

    forming a differences vector based on a second function having the interpolation variables, the bandwidth and one or more differences between the selected locations and the interpolation location;

    forming an interpolation operator vector by applying an inverse of the matrix of interpolation coefficients to the differences vector; and

    estimating a data value for the interpolation location using the interpolation operator vector.

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