Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media

Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media PDF Author: Hyun Moon
Publisher:
ISBN:
Category :
Languages : en
Pages : 512

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Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media

Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media PDF Author: Hyun Moon
Publisher:
ISBN:
Category :
Languages : en
Pages : 512

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Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media

Mathematical Modeling and Simulation Analysis of Hydraulic Fracture Propagation in Three-layered Poro-elastic Media PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 278

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Hydraulic fracturing plays a pivotal role in the enhancement of oil and gas production recovery from low permeability reservoirs. The process of hydraulic fracturing entails the generation of a fracture by pumping fluids blended with special chemicals and proppants into the payzone at high injection rates and pressures to extend and wedge fractures. The mathematical modeling of hydraulically induced fractures generally incorporates coupling between the formation elasticity, fracture fluid flow, and fracture mechanics equations governing the formation structural responses, fluid pressure profile, and fracture growth. Two allied unsymmetric elliptic fracture models are developed for fracture configuration evolutions in three-layered rock formations. The first approach is based on a Lagrangian formulation incorporating pertinent energy components associated with the formation structural responses and fracture fluid flow. The second model is based on a generalized variational principle, introducing an energy rate related functional. These models initially simulate a penny-shaped fracture, which becomes elliptic if the crack tips encounters (upper and/or lower) barriers with differential reservoir properties (in situ stresses, 16 elastic moduli, and fracture toughness-contrasts and fluid leak-off characteristics). The energy rate component magnitudes are determined to interpret the governing hydraulic fracture mechanisms during fracture evolution. The variational principle is extended to study the phenomenon and consequences of fluid lag in fractures. Finally, parametric sensitivity and energy rate investigations to evaluate the roles of controllable hydraulic treatment variables and uncontrollable reservoir property characterization parameters are performed. The presented field applications demonstrate the overall capabilities of the developed models. These studies provide stimulation treatment guidelines for fracture configuration design, control, and optimization.

Mathematical Modeling and Finite Element Analysis of Three-dimensional Hydraulic Fractures in Layered Media

Mathematical Modeling and Finite Element Analysis of Three-dimensional Hydraulic Fractures in Layered Media PDF Author: Tae Soo Lee
Publisher:
ISBN:
Category : Enhanced oil recovery
Languages : en
Pages : 382

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Mathematical Modeling and Analysis of Mechanisms Associated with the Propagation of Hydraulically Induced Fractures in Poro-elastic Media

Mathematical Modeling and Analysis of Mechanisms Associated with the Propagation of Hydraulically Induced Fractures in Poro-elastic Media PDF Author: Joseph Steven Torok
Publisher:
ISBN:
Category : Oil wells
Languages : en
Pages : 300

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Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 762

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Book Description
Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.

The Combined Finite-Discrete Element Method

The Combined Finite-Discrete Element Method PDF Author: Antonio A. Munjiza
Publisher: John Wiley & Sons
ISBN: 0470020172
Category : Technology & Engineering
Languages : en
Pages : 348

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Book Description
The combined finite discrete element method is a relatively new computational tool aimed at problems involving static and / or dynamic behaviour of systems involving a large number of solid deformable bodies. Such problems include fragmentation using explosives (e.g rock blasting), impacts, demolition (collapsing buildings), blast loads, digging and loading processes, and powder technology. The combined finite-discrete element method - a natural extension of both discrete and finite element methods - allows researchers to model problems involving the deformability of either one solid body, a large number of bodies, or a solid body which fragments (e.g. in rock blasting applications a more or less intact rock mass is transformed into a pile of solid rock fragments of different sizes, which interact with each other). The topic is gaining in importance, and is at the forefront of some of the current efforts in computational modeling of the failure of solids. * Accompanying source codes plus input and output files available on the Internet * Important applications such as mining engineering, rock blasting and petroleum engineering * Includes practical examples of applications areas Essential reading for postgraduates, researchers and software engineers working in mechanical engineering.

Simulation and Visualization of Hydraulic Fracture Propagation in Poroelastic Rock

Simulation and Visualization of Hydraulic Fracture Propagation in Poroelastic Rock PDF Author: Thomas James Boone
Publisher: Ann Arbor, Mich. : University Microfilms International
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 906

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Numerical Simulation in Hydraulic Fracturing: Multiphysics Theory and Applications

Numerical Simulation in Hydraulic Fracturing: Multiphysics Theory and Applications PDF Author: Xinpu Shen
Publisher: CRC Press
ISBN: 1351796291
Category : Science
Languages : en
Pages : 192

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Book Description
The expansion of unconventional petroleum resources in the recent decade and the rapid development of computational technology have provided the opportunity to develop and apply 3D numerical modeling technology to simulate the hydraulic fracturing of shale and tight sand formations. This book presents 3D numerical modeling technologies for hydraulic fracturing developed in recent years, and introduces solutions to various 3D geomechanical problems related to hydraulic fracturing. In the solution processes of the case studies included in the book, fully coupled multi-physics modeling has been adopted, along with innovative computational techniques, such as submodeling. In practice, hydraulic fracturing is an essential project component in shale gas/oil development and tight sand oil, and provides an essential measure in the process of drilling cuttings reinjection (CRI). It is also an essential measure for widened mud weight window (MWW) when drilling through naturally fractured formations; the process of hydraulic plugging is a typical application of hydraulic fracturing. 3D modeling and numerical analysis of hydraulic fracturing is essential for the successful development of tight oil/gas formations: it provides accurate solutions for optimized stage intervals in a multistage fracking job. It also provides optimized well-spacing for the design of zipper-frac wells. Numerical estimation of casing integrity under stimulation injection in the hydraulic fracturing process is one of major concerns in the successful development of unconventional resources. This topic is also investigated numerically in this book. Numerical solutions to several other typical geomechanics problems related to hydraulic fracturing, such as fluid migration caused by fault reactivation and seismic activities, are also presented. This book can be used as a reference textbook to petroleum, geotechnical and geothermal engineers, to senior undergraduate, graduate and postgraduate students, and to geologists, hydrogeologists, geophysicists and applied mathematicians working in this field. This book is also a synthetic compendium of both the fundamentals and some of the most advanced aspects of hydraulic fracturing technology.

Petroleum Abstracts

Petroleum Abstracts PDF Author:
Publisher:
ISBN:
Category : Petroleum
Languages : en
Pages : 1752

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Application of Displacement Discontinuity Method to Hydraulic Fracture Propagation in Heterogeneous Rocks

Application of Displacement Discontinuity Method to Hydraulic Fracture Propagation in Heterogeneous Rocks PDF Author: Sho Hirose
Publisher:
ISBN:
Category :
Languages : en
Pages : 418

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Book Description
The development of multi-stage hydraulic fracturing technique in horizontal wells enables us to produce oil and gas at economic rate from shale formations, leading to the shale revolution in the United States. Field observations including production history, microseismic mapping, and coring in fractured zones have revealed that the heterogeneity of shale rocks such as natural fractures is likely to have a large impact on oil and gas production from shale reservoirs. In this dissertation, a new hydraulic fracturing model based on the displacement discontinuity method (DDM) was developed. The major achievements in this research include the extension of DDM to multilayered media, the modeling of the interaction with natural fractures in three dimensions, and the development of a DDM-based hydraulic fracturing simulator. The formulation of DDM was revisited, and the equivalence of DDM and BEM was mathematically demonstrated. DDM was extended to multilayered media by using the method of images. The new DDM was applied to a three-layered medium in plain strain containing vertical and horizontal cracks. A sensitivity study suggests that bi-material solutions are sufficient for three-layered media under plain strain conditions. A DDM-based hydraulic fracturing model was developed. The discretized DDM and flow equations were solved in a segregated or fully coupled manner. A new splitting scheme was proposed to improve the convergence speed of the segregated method. The interaction between hydraulic and natural fractures was modeled for both intersecting and remotely interacting cases in our simulator. Poroelastic effects were partially incorporated into DDM by assuming an undrained condition. It was found that poroelastic effects under the undrained condition were limited to the vicinity of hydraulic fractures. Hydraulic fracturing simulations were performed in the presence of synthetic natural fracture networks. Synthetic microseismic events were generated, and inversion analyses of the synthetic microseismic data were performed. It was suggested that the density of microseismic events was affected by both the areal density and length distribution of natural fractures