Interpolation of periodic data
US8265875B2 · kind B2 · utility
Assignee
Inventor
Key dates
| Filing date | Jan 29, 2010 |
| Grant date | Sep 11, 2012 |
| Priority date | — |
| Expiry date | Nov 18, 2030 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG01V2210/57
- WIPO fieldMeasurement
- WIPO sectorInstruments
Abstract
A method for interpolating data. The method includes receiving data acquired at one or more locations where the data represents subterranean formations in the earth. The method also includes selecting one or more of the locations such that the selected locations are within a vicinity of an interpolation location. Next, the method includes 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. The method then includes 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. Using the matrix of interpolation coefficients and the differences vector, the method then forms an interpolation operator vector by applying an inverse of the matrix of interpolation coefficients to the differences vector. The method then estimates a data value for the interpolation location using the interpolation operator vector.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.