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Deep neural networks have become the default choice for many of the machine learning tasks such as classification and regression. Dropout, a method commonly used to improve the convergence of deep neural networks, generates an ensemble of…

Machine Learning · Statistics 2019-04-11 Tal Kachman , Michal Moshkovitz , Michal Rosen-Zvi

Characterizing the fluid-driven fracture tip advancing process presents a significant challenge due to the difficulty of replicating real-world conditions in laboratory experiments and the lack of precise field measurements. However, recent…

Geophysics · Physics 2023-05-23 Yongzan Liu , Lin Liang , Smaine Zeroug

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

Machine Learning · Statistics 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei

The study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

Numerical Analysis · Mathematics 2022-12-28 Davide Losapio , Anna Scotti

We model flow and transport in three-dimensional fracture networks with varying degrees of fracture-to-fracture aperture/permeability heterogeneity and network density to show how changes in these properties can cause the emergence of…

Dynamical systems in nature exhibit selfsimilar fractal fluctuations and the corresponding power spectra follow inverse power law form signifying long-range space-time correlations identified as self-organized criticality. The physics of…

General Physics · Physics 2008-05-23 A. M. Selvam

Fracture surfaces provide various types of information about fracture. The fracture toughness $K_{{\rm I}c}$, which represents the resistance to fracture, can be estimated using the three-dimensional (3D) information of a fracture surface,…

Materials Science · Physics 2022-05-02 Yoh-ichi Mototake , Kaita Ito , Masahiko Demura

Faults and geological barriers can drastically affect the flow patterns in porous media. Such fractures can be modeled as interfaces that interact with the surrounding matrix. We propose a new technique for the estimation of the location…

Numerical Analysis · Mathematics 2016-10-24 Hend Ben Ameur , Guy Chavent , Cheikh Fatma , François Clément , Vincent Martin , Jean E. Roberts

Complex networks are characterized by latent geometries induced by their topology or by the dynamics on the top of them. In the latter case, different network-driven processes induce distinct geometric features that can be captured by…

Physics and Society · Physics 2021-04-07 Giulia Bertagnolli , Manlio De Domenico

Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The…

General Physics · Physics 2014-01-03 H. O. Ghaffari , R. P. Young

We propose a novel modular inference approach combining two different generative models -- generative adversarial networks (GAN) and normalizing flows -- to approximate the posterior distribution of physics-based Bayesian inverse problems…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Agnimitra Dasgupta , Dhruv V Patel , Deep Ray , Erik A Johnson , Assad A Oberai

Designing strong and robust bio-inspired structures requires an understanding of how function arises from the architecture and geometry of materials found in nature. We draw from trabecular bone, a lightweight bone tissue that exhibits a…

Biological Physics · Physics 2019-10-09 Chantal Nguyen , Darin Peetz , Ahmed E. Elbanna , Jean M. Carlson

A theoretical foundation is developed for active seismic reconstruction of fractures endowed with spatially-varying interfacial condition (e.g.~partially-closed fractures, hydraulic fractures). The proposed indicator functional carries a…

Geophysics · Physics 2017-04-05 Fatemeh Pourahmadian , Bojan B. Guzina , Houssem Haddar

A multi-scale scheme for the invasion percolation of rock fracture networks with heterogeneous fracture aperture fields is proposed. Inside fractures, fluid transport is calculated on the finest scale and found to be localized in channels…

Geophysics · Physics 2014-08-22 Ali N. Ebrahimi , Falk K. Wittel , Nuno A. M. Araújo , Hans J. Herrmann

In many real complex networks, the fractal and self-similarity properties have been found. The fractal dimension is a useful method to describe fractal property of complex networks. Fractal analysis is inadequate if only taking one fractal…

Physics and Society · Physics 2014-03-03 Daijun Wei , Xiaowu Chen , Cai Gao , Haixin Zhang , Bo Wei , Yong Deng

Deep generative models have made rapid progress in image, text, audio, and video generation, and are increasingly being applied to structured records. For tabular data, however, generative modeling remains difficult: a dataset may contain…

Machine Learning · Computer Science 2026-05-25 Zhong Li , Qi Huang , Lincen Yang , Jiayang Shi , Zhao Yang , Niki van Stein , Thomas Bäck , Matthijs van Leeuwen

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

The dynamics of materials failure is one of the most critical phenomena in a range of scientific and engineering fields, from healthcare to structural materials to transportation. In this paper we propose a specially designed deep neural…

Materials Science · Physics 2022-11-17 Yu-Chuan Hsu , Markus J. Buehler

The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes, but also in materials science and biological applications. Connected fractures totally dominate…

Geophysics · Physics 2018-05-16 Inga Berre , Florian Doster , Eirik Keilegavlen