US 11,966,001 B1
Calculation method, storage medium and device for seabed reflection coefficient of point source elastic wave
Yangting Liu, Qingdao (CN)
Assigned to FIRST INSTITUTE OF OCEANOGRAPHY, MNR, Qingdao (CN)
Filed by FIRST INSTITUTE OF OCEANOGRAPHY, MNR, Qingdao (CN)
Filed on Dec. 15, 2023, as Appl. No. 18/541,058.
Claims priority of application No. 202311139493.2 (CN), filed on Sep. 6, 2023.
Int. Cl. G01V 1/38 (2006.01)
CPC G01V 1/3852 (2013.01) [G01V 2210/58 (2013.01); G01V 2210/63 (2013.01)] 6 Claims
OG exemplary drawing
 
1. A calculation method for a seabed reflection coefficient of point source elastic wave, comprising the following steps:
step 1: initializing a calculation accuracy and a calculation range of the seabed reflection coefficient;
step 2: discretizing a parameter space and obtaining the seabed reflection coefficient of point source elastic wave;
step 3: combining an equivalent equation with a traditional calculation equation for the seabed reflection coefficient of point source elastic wave; wherein the equivalent equation and traditional calculation equation for the seabed reflection coefficient of point source elastic wave are combined by the following equation:
f(W,m)=r←r′  (1),
in equation (1), f (w,m)=r represents the equivalent equation, W is an undetermined coefficient of the equivalent equation, r is the seabed reflection coefficient, ← represents an assignment to a variable, and r′ is the seabed reflection coefficient obtained by the traditional calculation method for the seabed reflection coefficient of point source elastic wave; the combination is performed within a parameter space range to obtain the following:
f(W,M)=R  (2),
in equation (2), R is the seabed reflection coefficient of point source elastic wave;
step 4: solving the undetermined coefficient of the equivalent equation in step 3 with the following equation:
W=G−1R  (3),
in equation (3), G is a symmetric matrix Gij=φ(mi,mj) composed of Gaussian kernel function, i,j∈{k|k>0&k∈N}, R is the seabed reflection coefficient of the point source elastic wave;
step 5: obtaining a concise expression for the seabed reflection coefficient of point source under an accuracy in step 1 with the following equation:
r=g(m)·W  (4),
in equation (4), g(m)=[φ(m1,m)φ(m2,m) . . . φ(mi,m)], W is the undetermined coefficient of the equivalent equation;
step 6: calculating the seabed reflection coefficient of point source elastic wave within a given calculation accuracy range using an obtained expression in step 5.