Investigation of Water Coning Phenomena in a Fractured Reservoir Using the Embedded Discrete Fracture Model (EDFM)

Wong, D.W.; Doster, Florian; Geiger, Sebastian; Francot, Eddie; Gouth, Francois Michel

doi:10.3997/2214-4609.201901303

Cited by 6 publications

(4 citation statements)

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“…Since we use a twofold approximation for T −1 , i.e., exact in L 1 , U 1 and inexact in S , M −1 1 can be regarded as a member of the mixed constraint preconditioner class [96][97][98]. Similarly, the upper and lower block triangular factors in (22) play the role of decoupling operators for the original multi-physics problem and are the outcome of the general-purpose algebraic procedure defined in [99]. Finally, M −1 1 can be also regarded as an example of application in a 3×3 block non-symmetric context of the multigrid reduction framework [100,101], where fracture and body variables play the role of fine and coarse nodes, respectively, and H replaces H in matrix J.…”

Section: Methods No 1: T-p-u Approachmentioning

confidence: 99%

“…In fact, the aperture and slippage between the contact surfaces drive the fluid flow in the fractures, while the pressure variation perturbs the stress state in the surrounding medium and influences the contact mechanics itself. To achieve the desired accuracy, large domains are usually required, with high resolution representations of geological structures and their heterogeneous properties [13,14], and, specifically, of faults and fracture networks [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. It is, therefore, natural to have a growing demand towards the development of sophisticated models of increasing size, which are computationally intensive and require better and better performances.…”

Section: Introductionmentioning

confidence: 99%

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A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures

Franceschini,

Gazzola,

Ferronato

2021

Preprint

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A preconditioning framework for the coupled problem of frictional contact mechanics and fluid flow in the fracture network is presented. The porous medium is discretized using low-order continuous finite elements, with cell-centered Lagrange multipliers and pressure unknowns used to impose the constraints and solve the fluid flow in the fractures, respectively. This formulation does not require any interpolation between different fields, but is not uniformly inf-sup stable and requires a stabilization. For the resulting 3 × 3 block Jacobian matrix, we design scalable preconditioning strategies, based on the physically-informed block partitioning of the unknowns and state-of-the-art multigrid preconditioners. The key idea is to restrict the system to a single-physics problem, approximately solve it by an inner algebraic multigrid approach, and finally prolong it back to the fully-coupled problem. Two different techniques are presented, analyzed and compared by changing the ordering of the restrictions. Numerical results illustrate the algorithmic scalability, the impact of the relative number of fracture-based unknowns, and the performance on a real-world problem.

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Section: Methods No 1: T-p-u Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures

Franceschini,

Gazzola,

Ferronato

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…While the theory behind the continuous geomechanical models is well established, the contact mechanics modeling is a quickly developing field. There are several discretization options, such as DFM (discrete fracture model) (Garipov et al., 2016; Karimi‐Fard et al., 2004), EDFM (embedded discrete fracture model) (Shakiba & Sepehrnoori, 2015; Wong et al., 2019), thin finite elements layers. Among them, we adopted the DFM, consisting in the explicit discretization of the fracture network through interface elements (IE).…”

Section: Modeling Approachmentioning

confidence: 99%

Aseismic Multifissure Modeling in Unfaulted Heavily Pumped Basins: Mechanisms and Applications

Teatini

et al. 2021

Water Resources Research

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Aseismic earth fissures are among the most dangerous by-products of excessive groundwater exploitation in many subsiding sedimentary basins. Improving our understanding of the mechanisms of earth fissuring is important for land planning and risk management. We employ an advanced finite-element interface-element modeling approach to understand the generation and propagation of multiple fissures in unfaulted basins. Almost parallel earth fissures at a relative short distance (on the order of tens of meters) generally develop above impermeable and/or incompressible ridges buried by the compacting sedimentary units. Initially, we investigate the effect of the ridge slope on a simplified geological setting sketched from the Luke salt dome, Arizona. Then, we apply the model to the hydrogeologic setting at Guangming village, Wuxi, China. In both analyses, the model simulates the formation of multifissures above the ridge, as observed at the sites. The earth fissures initiate at land surface and propagate downward. They are caused by the combination of tensile stress (bending condition) and shear stress (shearing conditions) accumulation around and above the tip and the slopes of the ridge, respectively. The steeper the ridge, the more concentrated stress zone develops above the ridge tip, favoring the formation of fissures with significant opening and small or null offset. The opposite facilitates a widening of the stress accumulation area, with less-deep fissures characterized by larger sliding and smaller opening. At Guangming, the model suggests that fissures propagate down to 20-50-m depth, with maximum opening and sliding of ∼50 cm.

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“…A second class employs an embedding strategy, in which a continuum discretization scheme is enriched to capture discontinuities cutting through continuum elements. For example, Embedded Discrete Fracture Models (EDFM) introduce additional, local degrees of freedom to capture opening and sliding modes [19][20][21][22] while Extended Finite Elements Methods (XFEM) introduce global degrees of freedom for this purpose [20,[23][24][25][26]. A third class discards explicit discontinuity surfaces altogether, and instead represents a fracture via a regularized (smooth) field using a continuum discretization.…”

Section: Introductionmentioning

confidence: 99%

Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures

Franceschini,

Castelletto,

White

et al. 2020

Preprint

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Accurate numerical simulation of coupled fracture/fault deformation and fluid flow is crucial to the performance and safety assessment of many subsurface systems. In this work, we consider the discretization and enforcement of contact conditions at such surfaces. The bulk rock deformation is simulated using low-order continuous finite elements, while frictional contact conditions are imposed by means of a Lagrange multiplier method. We employ a cell-centered finite-volume scheme to solve the fracture fluid mass balance equation. From a modeling perspective, a convenient choice is to use a single grid for both mechanical and flow processes, with piecewise-constant interpolation of Lagrange multipliers, i.e., contact tractions and fluid pressure. Unfortunately, this combination of displacement and multiplier variables is not uniformly inf-sup stable, and therefore requires a stabilization technique. Starting from a macroelement analysis, we develop two algebraic stabilization approaches and compare them in terms of robustness and convergence rate. The proposed approaches are validated against challenging analytical two-and three-dimensional benchmarks to demonstrate accuracy and robustness. These benchmarks include both pure contact mechanics problems and well as problems with tightly-coupled fracture flow.

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Investigation of Water Coning Phenomena in a Fractured Reservoir Using the Embedded Discrete Fracture Model (EDFM)

Cited by 6 publications

References 0 publications

A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures

A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures

Aseismic Multifissure Modeling in Unfaulted Heavily Pumped Basins: Mechanisms and Applications

Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures

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