Invention Grant
- Patent Title: Systems and methods for determining dielectric constant or resistivity from electromagnetic propagation measurement using contraction mapping
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Application No.: US14957531Application Date: 2015-12-02
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Publication No.: US10450861B2Publication Date: 2019-10-22
- Inventor: Gong Li Wang , Tianxia Zhao , Keli Sun , Aria Abubakar
- Applicant: Schlumberger Technology Corporation
- Applicant Address: US TX Sugar Land
- Assignee: SCHLUMBERGER TECHNOLOGY CORPORATION
- Current Assignee: SCHLUMBERGER TECHNOLOGY CORPORATION
- Current Assignee Address: US TX Sugar Land
- Main IPC: E21B49/00
- IPC: E21B49/00 ; G01V3/28 ; G01V3/38

Abstract:
Identifying the dielectric constant and/or the electrical resistivity of part of a geological formation may reveal useful characteristics of the geological formation. This disclosure provides methods, systems, and machine-readable media to determine dielectric constant or electrical resistivity, or both, using contraction mapping. Specifically, contraction mapping may be used with a function of wavenumber k to iteratively solve for values of dielectric constant and electrical resistivity until convergence is achieved. This may allow for convergence to a solution without computing partial derivatives and/or with fewer iterations than previous techniques.
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