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US 12,736,701 B2Granted
Fast approach for acoustic impedance computation through dimension expansion
AssigneeHalliburton Energy Services, Inc.
InventorsJichun Sun, Xusong Wang, Xiang Wu, Christopher Michael Jones, Qingtao Sun
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Abstract
Described herein are systems and techniques for an improved method for determining and evaluating an impedance of an annulus associated with a casing of a wellbore. For example, aspects of the present disclosure relate to systems and techniques for performing two-dimensional (2D) and/or three-dimensional (3D) simulations (e.g., 2D and 3D numerical modeling) for predicting physical properties of a material or sample and determining calibration functions used to improve the efficiency and accuracy of the determined impedance results.
Claims7
A method comprising:
- determining physical properties of a casing and physical properties of drilling mud gathered by one or more sensors of a downhole tool during operation of the downhole tool in a borehole;
- and
- determining a correlation function based on the physical properties of the casing and physical properties of the drilling mud as well as one selected value of impedance for an annulus, wherein the correlation function is determined by:
- performing a 3D simulation based on the physical properties of the casing and physical properties of the drilling mud as well as the one selected value of impedance for the annulus to determine a first pulse-echo waveform and performing a 1D inversion on the first pulse-echo waveform to determine a first raw impedance;
- determining a second pulse-echo waveform based on known field data and performing a 1D inversion on the second pulse-echo waveform to determine a second raw impedance;
- and
- determining the correlation function based on the first raw impedance and the second raw impedance, such that it converts the first raw impedance to the second raw impedance;
- determining a first calibration function that determines a true impedance, wherein the first calibration function is determined by:
- performing a 2D simulation based on the physical properties of the casing and physical properties of the drilling mud as well as a range of one or more values of impedance for the annulus to determine a third pulse-echo waveform and performing a 2D inversion on the third pulse-echo waveform to determine a third raw impedance;
- applying a 2D/3D mapping function to the third raw impedance to determine a fourth raw impedance;
- applying the first calibration function to map the fourth raw impedance to a true impedance;
- and
- applying the determined correlation function to the determined true impedance to obtain a final calibration function.
10 more elements
Dependencies are inferred from the claim text.