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Deformation based circulating tumor cell (CTC) microchips are a representative diagnostic device for early cancer detection. This type of device usually involves a process of CTC trapping in a confined microgeometry. Further understanding…

Soft Condensed Matter · Physics 2016-01-11 Zhifeng Zhang , Xiaolin Chen , Jie Xu

The Moody diagram, a plot of friction factor versus flow rate, is a well-known engineering tool for estimating head loss in pipe flows. It comprises well-defined relationships between friction factor and flow rate over the majority of…

Fluid Dynamics · Physics 2024-10-21 Rory T. Cerbus , Tom Mullin

In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is…

Analysis of PDEs · Mathematics 2024-05-29 Pushpi Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

We present a new model for two phase Darcy flows in fractured media, in which fractures are modelled as submanifolds of codimension one with respect to the surrounding domain (matrix). Fractures can act as drains or as barriers, since…

Numerical Analysis · Mathematics 2016-12-26 Jerome Droniou , Julian Hennicker , Roland Masson

Fractures play a critical role in governing fluid flow within subsurface energy systems, including oil and gas production, geologic carbon sequestration, and underground hydrogen storage. This study investigated the impact of pore-scale…

Geophysics · Physics 2025-09-04 Ruichang Guo , Hongsheng Wang , Reza Ershadnia , Seyyed Hosseini

Propagation of a fluid-driven crack in an impermeable linear elastic medium under axis-symmetric conditions is investigated in the present work. The fluid exerting the pressure inside the crack is an incompressible Newtonian one and its…

Numerical Analysis · Mathematics 2020-11-13 Francesca Fantoni , Alberto Salvadori

In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition procedure, we…

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

Full-physics modeling of multiphase flow in porous media, e.g., for carbon storage and groundwater management, requires the nonlinear coupling of various physical processes. Industry standard nonlinear solvers, typically of Newton-type, are…

Numerical Analysis · Mathematics 2026-03-12 Peter von Schultzendorff , Jakub Wiktor Both , Jan Martin Nordbotten , Tor Harald Sandve

Over-break and under-break excavation is very common in practical tunnel engineering with asymmetrical cavity contour, while existing conformal mapping schemes of complex variable method generally focus on tunnelling with theoretical and…

Numerical Analysis · Mathematics 2024-11-06 Luobin Lin , Fuquan Chen , Changjie Zheng , Shangshun Lin

We present a new cycle flow based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential problems of most existing clustering approaches, which tend to…

Data Analysis, Statistics and Probability · Physics 2017-01-20 Ralf Banisch , Nataša Djurdjevac Conrad

The characteristics of two-phase stratified magnetohydrodynamic (MHD) flow in horizontal rectangular ducts are investigated for a system consisting of a conductive liquid and a non-conductive gas. Numerical and analytical solutions of the…

Fluid Dynamics · Physics 2026-03-04 Subham Pal , Ilya Barmak , Arseniy Parfenov , Alexander Gelfgat , Neima Brauner

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

Materials Science · Physics 2021-11-12 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Esteban Samaniego , Geert Degrande , Stijn François

Fracture in aluminum alloys with precipitates involves at least two mechanisms, namely, ductile fracture of the aluminum-rich matrix and brittle fracture of the precipitates. In this work, a coupled crystal plasticity-phase field model for…

Materials Science · Physics 2022-05-02 Samad Vakili , Pratheek Shanthraj , Franz Roters , Jaber R. Mianroodi , Dierk Raabe

The prediction of crack initiation and propagation in ductile failure processes are challenging tasks for the design and fabrication of metallic materials and structures on a large scale. Numerical aspects of ductile failure dictate a…

Numerical Analysis · Mathematics 2021-04-23 Nima Noii , Amirreza Khodadadian , Jacinto Ulloa , Fadi Aldakheel , Thomas Wick , Stijn Francois , Peter Wriggers

This paper presents an active model-based FTC (fault-tolerant control) method for the dynamic positioning of a class of underwater vehicles with thruster redundancy. Compared to the widely used state and parameter estimation methods, this…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Ji-Hong Li

Many geo-engineering applications, e.g., enhanced geothermal systems, rely on hydraulic fracturing to enhance the permeability of natural formations and allow for sufficient fluid circulation. Over the past few decades, the phase-field…

Geophysics · Physics 2023-04-27 Fan Fei , Andre Costa , John E. Dolbow , Randolph R. Settgast , Matteo Cusini

Prediction of flow to boreholes or excavations in fractured low-permeability rocks is important for resource extraction and disposal or sequestration activities. Analytical solutions for fluid pressure and flowrate, when available, are…

Fluid Dynamics · Physics 2024-05-07 Kristopher L. Kuhlman

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

Characterizing hydrodynamic transport in fractured rocks is essential for carbon storage and geothermal energy production. Multiscale heterogeneities lead to anomalous solute transport, with breakthrough-curve (BTC) tailing and nonlinear…

Fluid Dynamics · Physics 2025-10-28 Alessandro Lenci , Yves Méheust , Marco Dentz , Vittorio Di Federico