Method for tomographic inversion by matrix transformation
US7675818B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Jul 5, 2006 |
| Grant date | Mar 9, 2010 |
| Priority date | — |
| Expiry date | Sep 21, 2026 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG01V1/303
- WIPO fieldMeasurement
- WIPO sectorInstruments
Abstract
Method for reducing instability and increasing computational efficiency in tomographic inversion for velocity model building. A system of tomographic equations is developed for a uniform grid. A non-uniform parameterization is found for which a linear mapping exists between the space of the uniform grid and the space of the non-uniform grid. The matrix that relates velocity to the tomographic data in the non-uniform representation is then given by the matrix product of the corresponding matrix in the uniform grid representation and the mapping matrix. Inversion can then be performed for the non-uniform parameterization on a smaller, more stable matrix.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.