Mass minimization for a spherical screen with a specified level of transmitted wave energy

V. V. Alekhin

doi:10.1007/bf02468744

Mass minimization for a spherical screen with a specified level of transmitted wave energy

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf02468744 ◽

2000 ◽

Vol 41 (5) ◽

pp. 955-960

Author(s):

V. V. Alekhin

Keyword(s):

Wave Energy ◽

Transmitted Wave ◽

Spherical Screen ◽

Mass Minimization

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Time-Domain Full Waveform Inversion Using the Gradient Preconditioning Based on Transmitted Wave Energy

Journal of Ocean University of China ◽

10.1007/s11802-019-3783-z ◽

2019 ◽

Vol 18 (4) ◽

pp. 859-867

Author(s):

Peng Song ◽

Jun Tan ◽

Zhaolun Liu ◽

Xiaobo Zhang ◽

Baohua Liu ◽

...

Keyword(s):

Wave Energy ◽

Time Domain ◽

Waveform Inversion ◽

Transmitted Wave ◽

Full Waveform Inversion ◽

Full Waveform

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Least-Squares Reverse Time Migration Using the Gradient Preconditioning Based on Transmitted Wave Energy

Frontiers in Earth Science ◽

10.3389/feart.2021.732425 ◽

2021 ◽

Vol 9 ◽

Author(s):

Chuang Xie ◽

Peng Song ◽

Xishuang Li ◽

Jun Tan ◽

Shaowen Wang ◽

...

Keyword(s):

Least Squares ◽

Wave Energy ◽

Hessian Matrix ◽

Transmitted Wave ◽

Reverse Time ◽

Reverse Time Migration ◽

Reflected Waves ◽

Time Migration ◽

Acoustic Equation ◽

And Storage

A gradient preconditioning approach based on transmitted wave energy for least-squares reverse time migration (LSRTM) is proposed in this study. The gradient is preconditioned by using the energy of “approximate transmission wavefield,” which is calculated based on the non-reflecting acoustic equation. The proposed method can effectively avoid a huge amount of calculation and storage required by the Hessian matrix or approximated Hessian matrix and can overcome the influence of reflected waves, multiples, and other wavefields on the gradient in gradient preconditioning based on seismic wave energy (GPSWE). The numerical experiments, compared with that using GPSWE, show that LSRTM using the gradient preconditioning based on transmitted wave energy (GPTWE) can significantly improve the imaging accuracy of deep target and accelerate the convergence rate without trivial increased calculation.

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