Numerical Simulation of 3D Hydraulic Fracturing Based on an Improved Flow-Stress-Damage Model and a Parallel FEM Technique

Li, L. C.; Tang, Chun’an; Li, G.; Wang, Shanyong; Liang, Zheng Zhao; Zhang, Y. B.

doi:10.1007/s00603-012-0252-z

Cited by 60 publications

(61 citation statements)

References 50 publications

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“…Or a scalar damage variable related to strain can be used to represent the isotropic damage extent of continuum rock, and crack closure process was simulated by recovering the elastic moduli of rock [91]. This method is capable of simulating non-planar or 'out of plane' effects [56], however, the elements should be very small in order to precisely predict the path and shape of HF, and the one first order scalar damage index cannot represent the anisotropic damage for a single element, which can be solved by introducing more damage indices with higher orders [63]. Actually, the geometric choice of crack modelling depends on the its size compared to the micro-structure of rock, to the overall structure, the crack initiation, propagation, and local behaviour in crack zone [71].…”

Section: Numerical Methods For Hydraulic Fracturing Modelingmentioning

confidence: 99%

A review on hydraulic fracturing of unconventional reservoir

et al. 2015

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a b s t r a c tHydraulic fracturing is widely accepted and applied to improve the gas recovery in unconventional reservoirs. Unconventional reservoirs to be addressed here are with very low permeability, complicated geological settings and in-situ stress field etc. All of these make the hydraulic fracturing process a challenging task. In order to effectively and economically recover gas from such reservoirs, the initiation and propagation of hydraulic fracturing in the heterogeneous fractured/ porous media under such complicated conditions should be mastered. In this paper, some issues related to hydraulic fracturing have been reviewed, including the experimental study, field study and numerical simulation. Finally the existing problems that need to be solved on the subject of hydraulic fracturing have been proposed.Unconventional gas mainly includes shale gas, tight gas and coal seam gas. Shale gas is commonly in mudstone, shale and between them the interlayers of sandstone. Tight gas often has been stored in tight sandstone or sometimes limestone. Coal bed methane is contained within coal seams. Their common attribute is that the permeability of the matrix is very low, and the permeability often has been improved by artificial or natural fractures [55]. However, the differences between them are also significant. For example, the effective shale thickness for gas production should be more than 15 m while the height of coal is generally from 0.6 m to 5.0 m [68], as coal seams to be fractured may be multiple and thin, hydraulic fracturing in coal needs to be more accurately designed and controlled. Moreover, the Young's modulus of coal is smaller than shale and tight sandstone, the permeability of coal is more sensitive to stress due to the development of cleat system, and leakoff in coal may be more severe, which can significantly affect the fracturing result. Due to the complexity of unconventional reservoirs, it is challenging to predict the initiation and propagation of hydraulic fractures [39]. For example, the complex in situ stress state and distribution of rocks of varied attributes, which may change the profile of hydraulic fractures [38]; the existence of arbitrary pre-existing interfaces may diversify or arrest hydraulic fractures [93]; the temperature effect [75]; the fluid loss and transport of proppant; the competition between hydraulic fractures, and its recession and closure [4]. Thus, it is crucial to explore how hydraulic fracturing process will happen in complex geological settings.Firsthand materials of hydraulic fracturing come from in-door experiments, and field study. Laboratory study undergoes from small-scale rock samples with several cubic centimetres to large ones with one cubic metre or more. Since it is easy to control the stress conditions and make artificial structures within samples, hydraulic fracturing process with different stress field and rock structures can be conveniently studied. Especially in large scale experiments, it is possible to build a full size borehole, or to contr...

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Section: Numerical Methods For Hydraulic Fracturing Modelingmentioning

confidence: 99%

A review on hydraulic fracturing of unconventional reservoir

et al. 2015

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“…By using a parallel finite element (FE) method, Li et al . developed the RFPA 3D ‐Parallel model to simulate rock hydraulic fracturing. Lecampion and Detournay presented an implicit moving mesh algorithm for modeling the propagation of plane‐strain hydraulic fracturing of the impermeable medium.…”

Section: Introductionmentioning

confidence: 99%

A two‐dimensional coupled hydromechanical discontinuum model for simulating rock hydraulic fracturing

Jiao

Zhang

et al. 2014

Num Anal Meth Geomechanics

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SUMMARYWithin the framework of our discontinuous deformation analysis for rock failure algorithm, this paper presents a two-dimensional coupled hydromechanical discontinuum model for simulating the rock hydraulic fracturing process. In the proposed approach, based on the generated joint network, the calculation of fluid mechanics is performed first to obtain the seepage pressure near the tips of existing cracks, and then the fluid pressure is treated as linearly distributed loads on corresponding block boundaries. The contribution of the hydraulic pressure to the initiation/propagation of the cracks is considered by adding the components of these blocks into the force matrix of the global equilibrium equation. Finally, failure criteria are applied at the crack tips to determine the occurrence of cracking events. Several verification examples are simulated, and the results show that this newly proposed numerical model can simulate the hydraulic fracturing process correctly and effectively. Although the numerical and experimental verifications focus on one unique preexisting crack, because of the capability of discontinuous deformation analysis in simulating block-like structures, the proposed approach is capable of modeling rock hydraulic fracturing processes. Copyright

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“…El modelo utilizado consiste en la implementación del método de elementos finitos (MEF) con mecánica de daño continuo, en el cual la fractura es representada por elementos continuos cuya resistencia es reducida a un mínimo valor y la permeabilidad de los elementos fisurados puede ser relacionada a la deformación o al estado de esfuerzos correspondiente [4]; este método es capaz de simular efectos no planares o fuera de plano [5] lo que permite observar la geometría compleja de fractura generada y la propagación de una FH bajo condiciones geomecánicas complejas, facilitando un verdadero análisis para el fenómeno en estudio. Para describir la geometría de FH-FN final a través de un modelo de simulación, se presenta la formulación de daño y el modelo constitutivo, el cual incorpora un criterio de cedencia dependiente de la presión, una regla de flujo plástico, una regla hardening y daño.…”

Section: Introductionunclassified

Simulación de la interacción entre fracturas hidráulicas y fracturas naturales con aplicación de daño continuo

Zambrano-Luna¹,

Silva²,

Quintero-Peña³

2018

revuin

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Este artículo puede compartirse bajo la licencia CC BY-ND 4.0 y se referencia usando el siguiente formato: A. Zambrano, G. González, Y. Quintero, "Simulación de la interacción entre fracturas hidráulicas y fracturas naturales con aplicación de daño continuo," Rev. UIS Ing., vol. 17, no. 1, pp. 169-184, 2018. Doi: https://doi.org/10.18273/revuin.v17n1-2018016 Vol. 17, no. 1, pp. 169-184, enero-junio 2018 Revista UIS Ingenierías RESUMENEl concepto de daño continuo es usado para estudiar la interacción entre fracturas hidráulicas y fracturas naturales a través del planteamiento de un modelo, cuyo objetivo es representar el camino de propagación y la relación entre estos dos tipos de fracturas, así como, predecir su complejo comportamiento sin la necesidad de predefinir su dirección como ocurre en otras aplicaciones de elementos finitos, proporcionando resultados más consistentes con el comportamiento físico del fenómeno. El enfoque usa simulaciones de elementos finitos a través del software Abaqus para modelar el fracturamiento por daño o el proceso de fracturamiento por propagación de daño en una roca. El modelado del fenómeno se desarrolla en dos dimensiones (2D) de manera que la fractura será representada por una línea y el frente de fractura por un punto. Se considera comportamiento constitutivo no-lineal, deformación finita, deformación dependiente del tiempo, deformación hardening y softening, y deformación basada en la evolución del daño en compresión y tensión.PALABRAS CLAVE: Red de fractura compleja; daño continuo; fracturas hidráulicas; fracturas naturales; rigidez. ABSTRACTThe continuum damage concept is used to study the interaction between hydraulic fractures and natural fractures through a model, whose objective is to represent the path of propagation and the relationship between these two types of fractures, as well as predict their complex behavior without the need to predefine its direction as it occurs in other applications of finite elements, providing results more consistent with the physical behavior of the phenomenon. The approach uses finite element simulations through Abaqus software to model damage fracturing or fracturing process by damage propagation in a rock. The modeling the phenomenon develops in two dimensional (2D) so that the fracture will be represented by a line and the crack front by a point. It considers nonlinear constitutive behavior, finite strain, time-dependent deformation, strain hardening and softening, and strain based damage evolution in compression and tension.

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Numerical Simulation of 3D Hydraulic Fracturing Based on an Improved Flow-Stress-Damage Model and a Parallel FEM Technique

Cited by 60 publications

References 50 publications

A review on hydraulic fracturing of unconventional reservoir

A review on hydraulic fracturing of unconventional reservoir

A two‐dimensional coupled hydromechanical discontinuum model for simulating rock hydraulic fracturing

Simulación de la interacción entre fracturas hidráulicas y fracturas naturales con aplicación de daño continuo

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