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We describe a new method, full waveform inversion by model extension (FWIME) that recovers accurate acoustic subsurface velocity models from seismic data, when conventional methods fail. We leverage the advantageous convergence properties…

Geophysics · Physics 2022-05-31 Guillaume Barnier , Ettore Biondi , Robert G. Clapp , Biondo Biondi

In this paper, we propose a novel approach for manifold learning that combines the Earthmover's distance (EMD) with the diffusion maps method for dimensionality reduction. We demonstrate the potential benefits of this approach for learning…

Biomolecules · Quantitative Biology 2022-05-24 Nathan Zelesko , Amit Moscovich , Joe Kileel , Amit Singer

Querying uncertain data sets (represented as probability distributions) presents many challenges due to the large amount of data involved and the difficulties comparing uncertainty between distributions. The Earth Mover's Distance (EMD) has…

Databases · Computer Science 2011-12-01 Brian E. Ruttenberg , Ambuj K. Singh

Iterative inversion of seismic, ultrasonic, and other wave data by local gradient-based optimization of mean-square data prediction error (Full Waveform Inversion or FWI) can fail to converge to useful model estimates if started from an…

Optimization and Control · Mathematics 2024-12-10 William W. Symes , Huiyi Chen , Susan E. Minkoff

Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineering. Known as "Full Waveform Inversion" in application to…

Optimization and Control · Mathematics 2020-10-28 William W. Symes

Full waveform inversion (FWI) is used to reconstruct the physical properties of subsurface media which plays an important role in seismic exploration. However, the precision of FWI is seriously affected by the absence or inaccuracy of…

Geophysics · Physics 2024-04-29 Zheng Cong , Xintong Dong , Shaoping Lu , Shiqi Dong , Xunqian Tong

Full waveform inversion (FWI) is a high-resolution seismic inversion technique popularly used in oil and gas exploration. Traditional FWI employs the $l_2$ norm measurement to minimize the misfit between observed and predicted seismic data.…

Geophysics · Physics 2025-04-03 Liangsheng He , Chao Song , Cai Liu

Full Waveform Inversion (FWI) is a technique widely used in geophysics to obtain high-resolution subsurface velocity models from waveform seismic data. Due to its large computation cost, most flavors of FWI rely only on the computation of…

Geophysics · Physics 2024-03-27 Mustafa Alfarhan , Matteo Ravasi , Fuqiang Chen , Tariq Alkhalifah

The dynamic time warping (DTW) distance has been used as a misfit function for wave-equation inversion to mitigate the local minima issue. However, the original DTW distance is not smooth; therefore it can yield a strong discontinuity in…

Geophysics · Physics 2022-03-22 Fuqiang Chen , Daniel Peter , Matteo Ravasi

Full-waveform inversion (FWI) is an advanced technique for reconstructing high-resolution subsurface physical parameters by progressively minimizing the discrepancy between observed and predicted seismic data. However, conventional FWI…

Geophysics · Physics 2025-03-04 Chao Song , Tariq Alkhalifah , Umair Bin Waheed , Silin Wang , Cai Liu

Full-Waveform Inversion (FWI) has now become a widely accepted tool to obtain high-resolution velocity models from seismic data. Typically, the velocity model in its discrete form is represented on a rectangular grid, and we solve for the…

Geophysics · Physics 2022-01-25 Reetam Biswas , Mrinal K. Sen

Full-waveform inversion (FWI) is an accurate imaging approach for modeling velocity structure by minimizing the misfit between recorded and predicted seismic waveforms. However, the strong non-linearity of FWI resulting from fitting…

Geophysics · Physics 2021-10-04 Weiqiang Zhu , Kailai Xu , Eric Darve , Biondo Biondi , Gregory C. Beroza

Full waveform inversion (FWI) iteratively updates the velocity model by minimizing the difference between observed and simulated data. Due to the high computational cost and memory requirements associated with global optimization…

Geophysics · Physics 2025-09-19 Xinru Mu , Omar M. Saad , Shaowen Wang , Tariq Alkhalifah

It is challenging for full-waveform inversion to determine geologically informative models from field data. An inaccurate wavelet can make it more complicated. We develop a novel misfit function, entitled deconvolutional double-difference…

Geophysics · Physics 2022-01-12 Fuqiang Chen , Daniel Peter

The Earth Mover's Distance (EMD) computes the optimal cost of transforming one distribution into another, given a known transport metric between them. In deep learning, the EMD loss allows us to embed information during training about the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-24 Manuel Martinez , Monica Haurilet , Ziad Al-Halah , Makarand Tapaswi , Rainer Stiefelhagen

Spatially 3-dimensional seismic full waveform inversion (3D FWI) is a highly nonlinear and computationally demanding inverse problem that constructs 3D subsurface seismic velocity structures using seismic waveform data. To characterise…

Geophysics · Physics 2025-04-21 Xuebin Zhao , Andrew Curtis

Full waveform inversion (FWI) is a process in which seismic numerical simulations are fit to observed data by changing the wave velocity model of the medium under investigation. The problem is non-linear, and therefore optimization…

Computational Engineering, Finance, and Science · Computer Science 2017-06-06 Eran Treister , Eldad Haber

Seismic full-waveform inversion (FWI) is a nonlinear computational imaging technique that can provide detailed estimates of subsurface geophysical properties. Solving the FWI problem can be challenging due to its ill-posedness and high…

Machine Learning · Computer Science 2021-03-25 Renán Rojas-Gómez , Jihyun Yang , Youzuo Lin , James Theiler , Brendt Wohlberg

The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploration, the observed data usually consist of measurements of the…

In micro-seismic event measurements, pinpointing the passive source's exact spatial and temporal location is paramount. This research advocates for the combined use of both P- and S-wave data, captured by geophone monitoring systems, to…

Geophysics · Physics 2023-10-20 Hanchen Wang , Qiang Guo , Tariq Alkhalifah