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Geometric mechanics is usually studied in applied mathematics and most introductory texts are hence aimed at a mathematically minded audience. The present note tries to provide the intuition of geometric mechanics and to show the relevance…

Mathematical Physics · Physics 2012-06-18 Christian Lessig

The topology of a network associated with a reservoir computer is often taken so that the connectivity and the weights are chosen randomly. Optimization is hardly considered as the parameter space is typically too large. Here we investigate…

Disordered Systems and Neural Networks · Physics 2021-01-19 Chad Nathe , Enrico Del Frate , Thomas Carroll , Louis Pecora , Afroza Shirin , Francesco Sorrentino

The rapidly developing robotics industry demands structures with novel mechanical functions. Traditional approaches, developing new materials and designing new structures, face two challenges. Highly complex force-displacement functions can…

Applied Physics · Physics 2022-11-02 Fan Liu , Xihang Jiang , Zian Jia , Lifeng Wang

A powerful data transformation method named guided projections is proposed creating new possibilities to reveal the group structure of high-dimensional data in the presence of noise variables. Utilising projections onto a space spanned by a…

Drilling boreholes for gas and oil extraction is an expensive process and profitability strongly depends on characteristics of the subsurface. As profitability is a key success factor, companies in the industry utilise well logs to explore…

Machine Learning · Computer Science 2020-10-12 Vito Alexander Nordloh , Anna Roubícková , Nick Brown

For a fissured medium, we analyze the impact that the geometry of the cracks, has in the phenomenon of preferential fluid flow. Using finite volume meshes we analyze the mechanical energy dissipation due to gravity, curvature of the surface…

Probability · Mathematics 2014-02-20 Fernando A Morales

In a uniform stress field, a tensile hydraulic fracture will favor propagation in the plane formed by the maximum (most compressive) and intermediate principal stresses. For the propagation of hydraulic fractures in non-uniform stress…

We obtain an analytical solution for the pressure-transient behavior of a vertically hydraulic fractured well in a heterogeneous reservoir. The heterogeneity of the reservoir is modeled by using the concept of fractal geometry. Such…

Fluid Dynamics · Physics 2015-03-17 Kambiz Razminia , Abolhassan Razminia , Delfim F. M. Torres

Condensation on vertical surfaces leads to fluid retention, which limits the efficiency of applications ranging from heat exchangers to atmospheric water harvesters. A common strategy is to structure the surface with grooves, yet whether…

Fluid Dynamics · Physics 2025-09-17 Matteo Leonard , Nicolas Vandewalle

Information ratchets extract work from heat baths using low entropy information reservoirs. We find that the structure of the reservoirs affects both their performance and phase diagram. By deriving exact probabilities of recurrence in…

Statistical Mechanics · Physics 2018-08-29 Richard E. Spinney , Mikhail Prokopenko , Dominique Chu

Hydro-geomechanical models are required to predict or understand the impact of subsurface engineering applications as, for example, in gas storage in geological formations. This study puts a focus on engineered carbonate precipitation…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Yue Wang , Holger Class

Rare events are processes that occur upon the emergence of unlikely fluctuations. Unlike what their name suggests, rare events are fairly ubiquitous in nature, as the occurrence of many structural transformations in biology and material…

Statistical Mechanics · Physics 2020-02-26 Sarwar Hussain , Amir Haji-Akbari

This is a brief review, in relatively non-technical terms, of recent advances in the theory of random field geometry. These advances have provided a collection of explicit new formulae describing mean values of a variety of geometric…

Probability · Mathematics 2008-05-08 Robert J Adler

Reservoir is an efficient network for time series processing. It is well known that network structure is one of the determinants of its performance. However, the topology structure of reservoirs, as well as their performance, is hard to…

Machine Learning · Computer Science 2026-04-21 Yu Chen , Shengwei Wang , Hongwei Lin

Minerals play a critical role in the advanced energy technologies necessary for decarbonization, but characterizing mineral deposits hidden underground remains costly and challenging. Inspired by recent progress in generative modeling, we…

Machine Learning · Statistics 2025-11-14 Sujay Nair , Evan Coleman , Sherrie Wang , Elsa Olivetti

Electromagnetics has an important role to play in solving the next generation of geoscience problems. These problems are multidisciplinary, complex, and require collaboration. This is especially true at the base scientific level where the…

Geophysics · Physics 2022-03-29 Douglas W. Oldenburg , Lindsey J. Heagy , Seogi Kang , Rowan Cockett

The ability to make accurate predictions with quantified uncertainty provides a crucial foundation for the successful management of a geothermal reservoir. Conventional approaches for making predictions using geothermal reservoir models…

Chemo-mechanical effects are known to be significant in a number of applications in modern geomechanics, ranging from slope stability assessment to soil improvement and CO2 sequestration. This work focuses on coupled chemo-mechanical…

Geophysics · Physics 2019-04-16 Alessandro Gajo , Francesco Cecinato , Tomasz Hueckel

Scientific curiosity, exploration of georesources and environmental concerns are pushing the geoscientific research community toward subsurface investigations of ever-increasing complexity. This review explores various approaches to…

Geophysics · Physics 2017-01-09 N. Linde , P. Renard , T. Mukerji , J. Caers

This paper describes a KGD-type model of a hydraulic fracture created by injecting fluid in weak, poorly consolidated rocks. The model is based on the key assumption that the hydraulic fracture is propagating within a domain where the…

Geophysics · Physics 2021-06-01 Emmanuel Detournay , Yera Hakobyan
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