Three-Dimensional Modeling of Hydraulic Fractures in Layered Media: Part II—Calibrations, Parametric Sensitivity and Field Simulations

A comprehensive finite element model formulation for the simulation of vertical hydraulic fracture propagation in a multi-layered reservoir has been presented in Part I of the companion paper (Advani et al., 1990). This paper presents a numerical calibration of this model by comparing results with selected benchmark cases. Parametric sensitivity investigations are also performed to illustrate the role of different variables on hydraulic fracture configuration evolution in multi-layered formations. In addition, field simulations for a multi-layered reservoir with differential in-situ stress and mechanical property contrasts are conducted to illustrate the scope of the developed model.

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Modal Analysis of Diamond Wire Cutting Machine's Bed

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.490-491.590 ◽

2014 ◽

Vol 490-491 ◽

pp. 590-593

Author(s):

Zheng Feng Jiang ◽

Rui Gao ◽

Dong Wang ◽

Qing Zhang ◽

Lei Chen ◽

...

Keyword(s):

Modal Analysis ◽

Natural Frequencies ◽

Three Dimensional ◽

Element Model ◽

Diamond Wire ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Cutting Machine ◽

Wire Cutting ◽

The Finite Element Model

After the design project of diamond wire cutting machine, we try to optimize the design of its main structurebed. In this paper, we shall first make three-dimensional modeling on the bed with Solidworks, and then do modal analysis with Ansys, from which we can get its five natural frequencies and vibration patterns, verify the accuracy of the finite element model. Finally, the optimization measures will be summarized.

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A Review of Hydraulic Fracture Modeling—Part I: General Concepts, 2D Models, Motivation for 3D Modeling

Journal of Energy Resources Technology ◽

10.1115/1.3231067 ◽

1984 ◽

Vol 106 (3) ◽

pp. 369-376 ◽

Cited By ~ 41

Author(s):

D. A. Mendelsohn

Keyword(s):

Crack Propagation ◽

Hydraulic Fracture ◽

Three Dimensional ◽

Hydraulic Fractures ◽

Three Dimensional Modeling ◽

Rock Formations ◽

Constant Height ◽

Fractured Medium ◽

Dimensional Models ◽

Three Dimensional Models

This is Part I of a two-part paper which reviews in depth the literature on the modeling of the propagation of large hydraulic fractures in underground rock formations. Part I presents a general formulation of the problem, its geometry and only the most fundamental and unrestrictive physical assumptions. The two basic two-dimensional models of constant height (rectangular) fractures which formed the core of modeling efforts from 1960 through the late 1970’s are discussed in detail followed by a brief review of the effects of fluid diffusion in the fractured medium on crack propagation. The recent field and laboratory observations which have shown that nonrectangular fractures can occur quite often are discussed, as are their impact on the modeling effort, specifically the need for three-dimensional models of crack propagation in layered environments. Part II of the paper deals with the three-dimensional modeling efforts and some fundamental crack and fracture mechanics problems related to the vertical growth of a hydraulic fracture.

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Three-Dimensional Modeling of Hydraulic Fractures in Layered Media: Part I—Finite Element Formulations

Journal of Energy Resources Technology ◽

10.1115/1.2905706 ◽

1990 ◽

Vol 112 (1) ◽

pp. 1-9 ◽

Cited By ~ 63

Author(s):

S. H. Advani ◽

T. S. Lee ◽

J. K. Lee

Keyword(s):

Finite Element ◽

Fluid Flow ◽

Nonlinear Partial Differential Equation ◽

Three Dimensional ◽

General Purpose ◽

Hydraulic Fractures ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Structural Fracture ◽

Finite Element Formulations

A comprehensive model represented by a set of equations governing the mechanics of planar hydraulic fracture propagation in a multi-layered reservoir is presented. A general-purpose integral formulation for the formation elasticity is developed along with a numerical scheme for mode I fracture response evaluation of an arbitrarily shaped planar pressurized crack in a layered medium. Non-Newtonian fluid flow in the hydraulically induced fracture is governed by a two-dimensional nonlinear partial differential equation. Finite element formulations for the governing equations as well as calibrative examples illustrating the computational features of the model are presented. Numerical schemes for determining the moving fracture front and coupling of the fluid flow and structural/fracture responses are also developed.

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Dynamic Stress Analysis of the Globidal Cam Mechanism during Engagement

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.338.311 ◽

2011 ◽

Vol 338 ◽

pp. 311-314

Author(s):

Ai Hua Ren ◽

Qing Shan Gong ◽

Zhi Bin Chang ◽

Fang Yan Zheng

Keyword(s):

Finite Element ◽

Dynamic Stress ◽

Three Dimensional ◽

Element Model ◽

Cam Mechanism ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Dynamic Stress Analysis ◽

Set Up ◽

The Finite Element Model

Firstly the required dimensions and parameters of globidal cam during three dimensional modeling can be determined with Mathcad programming, and the Mathcad file and features of Pro/E part are correlated to realize solid modeling, then the finite element model of the mechanism during engagement is set up with ANSYS, at last the corresponding results are analyzed.

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