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This paper analyses the problem of a semi-infinite fluid-driven fracture propagating through multiple stress layers in a permeable elastic medium. Such a problem represents the tip region of a planar hydraulic fracture. When the hydraulic…

Geophysics · Physics 2023-05-23 A. V. Valov , E. V. Dontsov

Fluid driven fractures propagate in the upper earth crust either naturally or in response to engineered fluid injections. The quantitative prediction of their evolution is critical in order to better understand their dynamics as well as to…

Computational Engineering, Finance, and Science · Computer Science 2020-05-28 Haseeb Zia , Brice Lecampion

The problem of a plane strain hydraulic fracture propagating in a layered formation is considered. Fracture toughness, in-situ stress, and leak-off coefficient are assumed to vary by layer, while the elastic properties are kept constant…

Geophysics · Physics 2024-07-24 E. V. Dontsov

Numerical modeling of hydraulic fracturing is complicated when a fracture reaches a stress barrier. For high barriers, it may require changing of a computational scheme. Despite there are examples of modeling propagation through barriers,…

Fluid Dynamics · Physics 2024-07-12 Aleksandr Linkov , Liliana Rybarska-Rusinek , Ewa Rejwer-Kosińska

Finite element simulations of frictional multi-body contact problems via conformal meshes can be challenging and computationally demanding. To render geometrical features, unstructured meshes must be used and this unavoidably increases the…

Computational Engineering, Finance, and Science · Computer Science 2020-11-03 Chuanqi Liu , Waiching Sun

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

A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity operator alongside a revised fracture propagation condition…

Geophysics · Physics 2016-12-13 Michal Wrobel , Gennady Mishuris , Andrea Piccolroaz

Existing hybrid Level Set / Front Tracking methods have been developed for structured meshes and successfully used for efficient and accurate simulations of complex multiphase flows. This contribution extends the capability of hybrid Level…

Computational Physics · Physics 2023-11-22 Tobias Tolle , Dieter Bothe , Tomislav Maric

The paper presents novel results, obtained on the basis of the modified theory of hydraulic fractures (HF). The theory underlines significance of the speed equation. When applied to numerical simulation of HF, the theory reveals three…

Computational Engineering, Finance, and Science · Computer Science 2019-05-17 A. M. Linkov

Hydraulic fracturing increases reservoir permeability by opening fractures and triggering slip on natural fractures and faults. While seismic slip of small faults or fault patches is detectable as microseismic events, the role of aseismic…

Geophysics · Physics 2020-02-24 Ali Kashefi , Eric M. Dunham , Benjamin Grossman-Ponemon , Adrian J. Lew

We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The approach consists of a hybrid scheme that couples a…

Computational Engineering, Finance, and Science · Computer Science 2022-07-05 Andre Costa , Matteo Cusini , Tao Jin , Randolph Settgast , John Dolbow

The paper presents universal asymptotic solution needed for efficient modeling of hydraulic fractures. We show that when neglecting the lag, there is universal asymptotic equation for the near-front opening. It appears that apart from the…

Fluid Dynamics · Physics 2014-04-17 Aleksandr M. Linkov

High-order implicit shock tracking is a new class of numerical methods to approximate solutions of conservation laws with non-smooth features. These methods align elements of the computational mesh with non-smooth features to represent them…

Numerical Analysis · Mathematics 2022-02-09 Tianci Huang , Matthew J. Zahr

In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM based subroutine to…

Mathematical Physics · Physics 2022-05-26 Michal Wrobel , Panos Papanastasiou , Daniel Peck

Solutions to the governing partial differential equations obtained from a discrete numerical scheme can have significant errors, especially near shocks when the discrete representation of the solution cannot fully capture the discontinuity…

Numerical Analysis · Mathematics 2024-05-03 Pranshul Thakur , Siva Nadarajah

We present an implicit, fully-coupled hydro-mechanical solver for the three dimensional simulation of fluid-driven rupture propagation along existing discontinuities. The solver handles simultaneously frictional slip (shear failure) and…

Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-resolution simulations of hydro-mechanical processes in…

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…

Hydraulic stimulation is a critical process for increasing the permeability of fractured geothermal reservoirs. This technique relies on coupled hydromechanical processes induced by reservoir stimulation through pressurized fluid injection…

Numerical Analysis · Mathematics 2023-05-02 Hau Trung Dang , Eirik Keilegavlen , Inga Berre

In this paper, we present a data-driven model for forecasting the production increase after hydraulic fracturing (HF). We use data from fracturing jobs performed at one of the Siberian oilfields. The data includes features, characterizing…

Machine Learning · Statistics 2019-05-28 Ivan Makhotin , Dmitry Koroteev , Evgeny Burnaev
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