Acoustic dispersion curve identification based on reciprocal condition number
US11567228B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Mar 31, 2021 |
| Grant date | Jan 31, 2023 |
| Priority date | — |
| Expiry date | Mar 31, 2041 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG01V2210/675
- WIPO fieldMeasurement
- WIPO sectorInstruments
Abstract
To generate dispersion curves for acoustic waves in a radially layered system, a matrix M containing solutions to the wave equation subject to the boundary conditions of the system is constructed. The reciprocal condition number (RCN) of the matrix M is determined as a function of acoustic wave frequency and slowness. The local minima of the RCN in the frequency-slowness plane produces the dispersion curves corresponding to allowable acoustic modes in the system. A sensitivity analysis which identifies the dispersion curves dependent on a selected parameter. The dispersion curves independent of the perturbed parameters are eliminated by perturbing the modeling parameters and generating the RCN of the perturbed matrix M and then subtracting the RCN values of the unperturbed matrix M, leaving the dispersion curves that exhibit dependence on the selected parameter.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.