Wave impedance inversion method based on improved damped least square method

A technology of wave impedance inversion and least squares method, which is applied to complex mathematical operations, measuring devices, instruments, etc., and can solve problems such as many parameters and high calculation costs

Active Publication Date: 2019-12-27
CHENGDU UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

However, the problem with these two solution methods is that they requir

Method used

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  • Wave impedance inversion method based on improved damped least square method
  • Wave impedance inversion method based on improved damped least square method
  • Wave impedance inversion method based on improved damped least square method

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Embodiment Construction

[0067] Implementation steps of trust region method:

[0068] Step 1: Given the trust region radius r 1 , Feasible point x (1) , Accuracy requirements ε And parameters

[0069] 0 ), and set k: = 1.

[0070] Step 2: By calculating f(x (k) ),▽f(x (k) ). If||▽f(x (k) )||≤ε, stop the calculation and get x (k) ; Otherwise, calculate ▽ 2 f(x (k) ).

[0071] Step 3: Solve the subproblems

[0072]

[0073] Find the optimal solution d of the subproblem (k) . make:

[0074]

[0075] Step 4: If ρ k ≤μ, let x (k+1) = X (k) ; If ρ k >μ, let x (k+1) = X (k) +d (k) .

[0076] Step 5: Modify r k .If ρ k ≤μ, let If μk k+1 =r k ; If ρ k ≥η, let r k+1 = 2r k .

[0077] Step 6: Set k:=k+1, go to step (2).

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Abstract

A wave impedance inversion method based on an improved damped least square method belongs to the field of geophysical inversion, and particularly relates to wave impedance inversion technology in oiland gas geophysical exploration. The invention aims to provide an improved wave impedance inversion method, which is used to establish a wave impedance inversion objective function in the sense of least squares and reduce the calculation cost of the Jacobian matrix in the traditional least square method, and can solve the non-positive singular problems of the Jacobian matrix to optimize the iterative method of damping coefficients, so that the algorithm has better stability and global convergence, and the inversion results are more reliable. The implementation process comprises the following steps of (1) constructing an inversion objective function according to the convolution model and the sparsely constrained pulse inversion theory; (2) establishing an initial model based on the log dataand horizon Information; (3) setting the algorithm and model parameters; (4) putting the initial model into the objective function to iterate; (5) obtaining the best matching reflection coefficient under the comprehensive constraint of three data bodies of model constraint, sparse constraint and seismic data constraint; (6) solving the wave impedance by using the recursive method; and (7) addinghigh and low frequency compensation to get the broadband wave impedance value.

Description

Technical field [0001] The present invention provides a wave impedance inversion based on an improved damping least square method, which belongs to the field of geophysical inversion, studies the damping coefficient setting method under the trust region method, and establishes the wave impedance inversion in the sense of least squares The objective function reduces the calculation cost of the Jacobian matrix in the traditional least squares method, and solves the non-positive definite and singular problems of the Jacobian matrix, and optimizes the iterative method of the damping coefficient, so that the algorithm has better stability and global convergence Sex. Background technique [0002] Impedance inversion technology has been continuously improving and seeking breakthroughs from the perspectives of algorithm optimization, inversion strategies, and modeling methods since its development. Inverse geophysical problems are generally non-linear, that is, there is no linear relati...

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Application Information

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IPC IPC(8): G01V1/30G01V1/28G06F17/10
CPCG01V1/282G01V1/306G01V2210/6226G06F17/10
Inventor 吴朝容满建付小念段文燊
Owner CHENGDU UNIVERSITY OF TECHNOLOGY
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