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Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are interested in flow in discrete fracture networks, which…

Numerical Analysis · Mathematics 2018-11-14 Alessio Fumagalli , Eirik Keilegavlen , Stefano Scialò

Microscopy is an essential tool in scientific research, enabling the visualization of structures at micro- and nanoscale resolutions. However, the field of microscopy often encounters limitations in field-of-view (FOV), restricting the…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Huanhuan Zhao , Ruben Millan-Solsona , Marti Checa , Spenser R. Brown , Jennifer L. Morrell-Falvey , Liam Collins , Arpan Biswas

In digital rock physics, analysing microstructures from CT and SEM scans is crucial for estimating properties like porosity and pore connectivity. Traditional segmentation methods like thresholding and CNNs often fall short in accurately…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Zhaoyang Ma , Xupeng He , Hyung Kwak , Jun Gao , Shuyu Sun , Bicheng Yan

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

In this paper, we consider an online basis enrichment mixed generalized multiscale method with oversampling, for solving flow problems in highly heterogeneous porous media. This is an exten- sion of the online mixed generalized multiscale…

Numerical Analysis · Mathematics 2018-07-03 Yanfang Yang , Shubin Fu , Eric T Chung

Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential tasks in many applications. The limitation of existing solutions…

Algebraic Topology · Mathematics 2024-06-26 Inés García-Redondo , Anthea Monod , Anna Song

This article introduces a new efficient particle method for the numerical simulation of crystallization and precipitation at the pore scale of real rock geometries extracted by X-Ray tomography. It is based on the coupling between…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 Sarah Perez , Jean-Matthieu Etancelin , Philippe Poncet

The local flow field and seepage induced drag obtained from Pore Network Models (PNM) is compared to Immersed Boundary Method (IBM) simulations, for a range of linear graded and bimodal samples. PNM were generated using a weighted Delaunay…

Fluid Dynamics · Physics 2022-01-11 Adnan Sufian , Chris Knight , Catherine O'Sullivan , Berend van Wachem , Daniele Dini

Motif counting plays a crucial role in understanding the structural properties of networks. By computing motif frequencies, researchers can draw key insights into the structural properties of the underlying network. As networks become…

Social and Information Networks · Computer Science 2025-03-26 Haozhe Yin , Kai Wang , Wenjie Zhang , Yizhang He , Ying Zhang , Xuemin Lin

Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous media. Accurately capturing the macroscopic behavior of such…

Numerical Analysis · Mathematics 2025-06-27 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang

Heterogeneous graphs (HGs) also known as heterogeneous information networks have become ubiquitous in real-world scenarios; therefore, HG embedding, which aims to learn representations in a lower-dimension space while preserving the…

Social and Information Networks · Computer Science 2020-12-02 Xiao Wang , Deyu Bo , Chuan Shi , Shaohua Fan , Yanfang Ye , Philip S. Yu

We present a numerical scheme for the solution of nonlinear mixed-dimensional PDEs describing coupled processes in embedded tubular network system in exchange with a bulk domain. Such problems arise in various biological and technical…

Computational Engineering, Finance, and Science · Computer Science 2021-11-23 Timo Koch , Hanchuan Wu , Martin Schneider

Although existing medical image segmentation methods provide impressive pixel-wise accuracy, they often neglect topological correctness, making their segmentations unusable for many downstream tasks. One option is to retrain such models…

Image and Video Processing · Electrical Eng. & Systems 2024-09-17 Liu Li , Hanchun Wang , Matthew Baugh , Qiang Ma , Weitong Zhang , Cheng Ouyang , Daniel Rueckert , Bernhard Kainz

This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and which terms have to be closed by models. The transport of…

Numerical Analysis · Mathematics 2018-07-03 Quanji Cai , Sheema Kooshapur , Michael Manhart , Ralf-Peter Mundani , Ernst Rank , Andreas Springer , Boris Vexler

Optical coherence tomography is state-of-the-art in non-invasive imaging of biological structures. Spectral Domain Optical Co-herence Tomography is the popularly used variation of this technique, but its performance is limited by the…

Optics · Physics 2023-03-01 Prabhav Gaur , Andrew Grieco , Yeshaiahu Fainman

The simulation of fluid flow in real, multiscale porous media remains challenging due to the complexity of nanoscale phenomena and the difficulty of developing upscaling methodologies. In this study, we introduce a multiscale filtration…

Fluid Dynamics · Physics 2026-05-13 Irina Nesterova , Rustem Sirazov , Aleksey Khlyupin

Diffusion pore imaging is an extension of diffusion-weighted nuclear magnetic resonance imaging enabling the direct measurement of the shape of arbitrarily formed, closed pores by probing diffusion restrictions using the motion of…

Monocular 3D human pose estimation poses significant challenges due to the inherent depth ambiguities that arise during the reprojection process from 2D to 3D. Conventional approaches that rely on estimating an over-fit projection matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Junkun Jiang , Jie Chen

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

In many complex systems, the interactions between objects span multiple aspects. Multiplex networks are accurate paradigms to model such systems, where each edge is associated with a type. A key graph mining primitive is extracting dense…

Social and Information Networks · Computer Science 2024-06-21 Farnoosh Hashemi , Ali Behrouz
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