2020
DOI: 10.48550/arxiv.2005.01620
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Application of accelerated fixed-point algorithms to hydrodynamic well-fracture coupling

Abstract: The coupled simulations of dynamic interactions between the well, hydraulic fractures and reservoir have significant importance in some areas of petroleum reservoir engineering. Several approaches to the problem of coupling between the numerical models of these parts of the full system have been developed in the industry in past years. One of the possible approaches allowing formulation of the problem as a fixed-point problem is studied in the present work. Accelerated Anderson's and Aitken's fixed-point algor… Show more

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“…More detailed description of the numerical model and its application to simulation of the cascading failure problem can be found in [23,26]. The problem of pressure-rate coupling 445 between well and fractures has been closely investigated in [27], including study of accuracy and influence of different modifications of algorithm on convergence of fixed point iterations.…”
Section: Numerical and Analytical Simulationsmentioning
confidence: 99%
“…More detailed description of the numerical model and its application to simulation of the cascading failure problem can be found in [23,26]. The problem of pressure-rate coupling 445 between well and fractures has been closely investigated in [27], including study of accuracy and influence of different modifications of algorithm on convergence of fixed point iterations.…”
Section: Numerical and Analytical Simulationsmentioning
confidence: 99%