Seabed Reflection Coefficient Calculation via Equivalent Equation
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Solution Overview
Problem
Current methods for calculating the seabed reflection coefficient of point source elastic waves are complex and inefficient, limiting their applicability due to the plane wave assumption's limitations in describing frequency variation and phase characteristics, especially under large incidence angles.
Innovation Solution
A calculation method that converts the seabed reflection coefficient of point source elastic waves into an equivalent equation's undetermined coefficient, allowing for a concise expression and efficient calculation by discretizing the parameter space and solving the undetermined coefficient using a symmetric matrix composed of Gaussian kernel functions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If the plane wave assumption is used for calculating seabed reflection coefficient, then the calculation complexity is low, but the calculation accuracy deteriorates under large incidence angles and cannot accurately describe frequency variation and phase characteristics
Solution Approach 1:
The patent transforms the calculation from using plane wave parameters to point source parameters by changing the fundamental wave model parameters. This involves switching from plane wave assumptions to spherical wave propagation models, which accurately capture frequency variation and phase characteristics while maintaining computational feasibility through the derived concise expression.
2Measurement precision
If the point source reflection coefficient calculation method is used, then the calculation accuracy is improved, but the calculation process becomes complex and inefficient
Solution Approach 1:
The patent performs preliminary derivation and simplification of the point source reflection coefficient formula in advance, creating a concise closed-form expression. This preliminary action eliminates the need for complex numerical computations during actual calculations, thereby maintaining high accuracy while dramatically improving computational efficiency.
3Reliability
If the traditional point source calculation method is used, then the frequency variation and phase characteristics are accurately described, but the calculation process is complex and time-consuming
Solution Approach 1:
The patent extracts the essential physical characteristics (frequency variation and phase characteristics) from the complex traditional calculation process and formulates them into a simplified closed-form expression. This extraction maintains the accuracy of these critical characteristics while removing the computationally intensive steps.
Data Source
AI summary
The present disclosure relates to a calculation method, a storage medium and a device for a seabed reflection coefficient of point source elastic wave. The method includes initializing a calculation accuracy and a calculation range of the seabed reflection coefficient; discretizing a parameter space and obtaining the seabed reflection coefficient of point source elastic wave; combining an equivalent equation and a traditional calculation equation for the seabed reflection coefficient of point source elastic wave; solving an undetermined coefficient of the equivalent equation; obtaining a concise expression for the seabed reflection coefficient of point source under an accuracy in the first step; calculating the seabed reflection coefficient of point source elastic wave within a given calculation accuracy range using an obtained expression. The method of the present disclosure avoids problems of high complexity and low efficiency in a traditional calculation for the seabed reflection coefficient of point source elastic wave.