Physics-Consistent Data-driven Waveform Inversion with Adaptive Data
Augmentation
- URL: http://arxiv.org/abs/2009.01807v1
- Date: Thu, 3 Sep 2020 17:12:55 GMT
- Title: Physics-Consistent Data-driven Waveform Inversion with Adaptive Data
Augmentation
- Authors: Ren\'an Rojas-G\'omez, Jihyun Yang, Youzuo Lin, James Theiler, Brendt
Wohlberg
- Abstract summary: We develop a new hybrid computational approach to solve full-waveform inversion (FWI)
We develop a data augmentation strategy that can improve the representativity of the training set.
We apply our method to synthetic elastic seismic waveform data generated from a subsurface geologic model built on a carbon sequestration site at Kimberlina, California.
- Score: 12.564534712461331
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: 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 computational cost. In this work, we develop a new hybrid
computational approach to solve FWI that combines physics-based models with
data-driven methodologies. In particular, we develop a data augmentation
strategy that can not only improve the representativity of the training set but
also incorporate important governing physics into the training process and
therefore improve the inversion accuracy. To validate the performance, we apply
our method to synthetic elastic seismic waveform data generated from a
subsurface geologic model built on a carbon sequestration site at Kimberlina,
California. We compare our physics-consistent data-driven inversion method to
both purely physics-based and purely data-driven approaches and observe that
our method yields higher accuracy and greater generalization ability.
Related papers
- Optimal Transport-Based Displacement Interpolation with Data Augmentation for Reduced Order Modeling of Nonlinear Dynamical Systems [0.0]
We present a novel reduced-order Model (ROM) that exploits optimal transport theory and displacement to enhance the representation of nonlinear dynamics in complex systems.
We show improved accuracy and efficiency in predicting complex system behaviors, indicating the potential of this approach for a wide range of applications in computational physics and engineering.
arXiv Detail & Related papers (2024-11-13T16:29:33Z) - Fine-Tuning Hybrid Physics-Informed Neural Networks for Vehicle Dynamics Model Estimation [2.432448600920501]
This paper introduces the Fine-Tuning Hybrid Dynamics (FTHD) method, which integrates supervised and unsupervised Physics-Informed Neural Networks (PINNs)
FTHD fine-tunes a pre-trained Deep Dynamics Model (DDM) using a smaller training dataset, delivering superior performance compared to state-of-the-art methods.
An Extended Kalman Filter (EKF) is embedded within FTHD to effectively manage noisy real-world data, ensuring accurate denoising.
Results demonstrate that the hybrid approach significantly improves parameter estimation accuracy, even with reduced data, and outperforms existing models.
arXiv Detail & Related papers (2024-09-29T10:33:07Z) - Integrating Physics of the Problem into Data-Driven Methods to Enhance Elastic Full-Waveform Inversion with Uncertainty Quantification [0.0]
Full-Waveform Inversion (FWI) is a nonlinear iterative seismic imaging technique.
FWI can produce detailed estimates of subsurface geophysical properties.
The strong nonlinearity of FWI can trap the optimization in local minima.
arXiv Detail & Related papers (2024-06-04T11:30:40Z) - A Physics-guided Generative AI Toolkit for Geophysical Monitoring [13.986582633154226]
Full-waveform inversion (FWI) plays a vital role in geoscience to explore the subsurface.
We introduce the EdGeo toolkit, which employs a diffusion-based model guided by physics principles to generate high-fidelity velocity maps.
arXiv Detail & Related papers (2024-01-06T06:09:05Z) - DeepSimHO: Stable Pose Estimation for Hand-Object Interaction via
Physics Simulation [81.11585774044848]
We present DeepSimHO, a novel deep-learning pipeline that combines forward physics simulation and backward gradient approximation with a neural network.
Our method noticeably improves the stability of the estimation and achieves superior efficiency over test-time optimization.
arXiv Detail & Related papers (2023-10-11T05:34:36Z) - Discovering Interpretable Physical Models using Symbolic Regression and
Discrete Exterior Calculus [55.2480439325792]
We propose a framework that combines Symbolic Regression (SR) and Discrete Exterior Calculus (DEC) for the automated discovery of physical models.
DEC provides building blocks for the discrete analogue of field theories, which are beyond the state-of-the-art applications of SR to physical problems.
We prove the effectiveness of our methodology by re-discovering three models of Continuum Physics from synthetic experimental data.
arXiv Detail & Related papers (2023-10-10T13:23:05Z) - Physics-Driven Turbulence Image Restoration with Stochastic Refinement [80.79900297089176]
Image distortion by atmospheric turbulence is a critical problem in long-range optical imaging systems.
Fast and physics-grounded simulation tools have been introduced to help the deep-learning models adapt to real-world turbulence conditions.
This paper proposes the Physics-integrated Restoration Network (PiRN) to help the network to disentangle theity from the degradation and the underlying image.
arXiv Detail & Related papers (2023-07-20T05:49:21Z) - Gradient-Based Trajectory Optimization With Learned Dynamics [80.41791191022139]
We use machine learning techniques to learn a differentiable dynamics model of the system from data.
We show that a neural network can model highly nonlinear behaviors accurately for large time horizons.
In our hardware experiments, we demonstrate that our learned model can represent complex dynamics for both the Spot and Radio-controlled (RC) car.
arXiv Detail & Related papers (2022-04-09T22:07:34Z) - Calibrating constitutive models with full-field data via physics
informed neural networks [0.0]
We propose a physics-informed deep-learning framework for the discovery of model parameterizations given full-field displacement data.
We work with the weak form of the governing equations rather than the strong form to impose physical constraints upon the neural network predictions.
We demonstrate that informed machine learning is an enabling technology and may shift the paradigm of how full-field experimental data is utilized to calibrate models.
arXiv Detail & Related papers (2022-03-30T18:07:44Z) - Physics-Integrated Variational Autoencoders for Robust and Interpretable
Generative Modeling [86.9726984929758]
We focus on the integration of incomplete physics models into deep generative models.
We propose a VAE architecture in which a part of the latent space is grounded by physics.
We demonstrate generative performance improvements over a set of synthetic and real-world datasets.
arXiv Detail & Related papers (2021-02-25T20:28:52Z) - Fast Gravitational Approach for Rigid Point Set Registration with
Ordinary Differential Equations [79.71184760864507]
This article introduces a new physics-based method for rigid point set alignment called Fast Gravitational Approach (FGA)
In FGA, the source and target point sets are interpreted as rigid particle swarms with masses interacting in a globally multiply-linked manner while moving in a simulated gravitational force field.
We show that the new method class has characteristics not found in previous alignment methods.
arXiv Detail & Related papers (2020-09-28T15:05:39Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.