... fracture propagation operation viscosity hydraulic fracturing geological subdiscipline sensitivity study result advanced fracturing modeling combining fracture model reservoir characterization natural fracture hydraulic fracture displacement discontinuity ARMA 23 0084 Advanced Fracturing...

...ARMA 21 1301 An Efficient Higher Order Displacement Discontinuity Method with Joint Element for Hydraulic Fracture Modeling Jiawei Li Texas A&M University, College Station, Texas, USA Yanchao Li CNPC Chuanqing Drilling Engineering Co. Ltd., Chengdu, China Kan Wu Texas A&M University, College...

... Characterization explicit model displacement discontinuity propagation parallel TI model localized effective medium fracture propagation Upstream Oil & Gas experiment representation fracture experimental data frequency content propagation waveform perpendicular 1. INTRODUCTION Fractures...

... to the pre-existing natural fracture. A displacement discontinuity method with Mohr-Coulomb elements is used in this paper to study the response of natural fractures to water injection. Modeling results indicate that the onset of fracture slip occurs when the initial shear stress exceeds the shear strength...

... region between the lower compacted and upper uncompacted material is assumed as a joint surface. Two-dimensional constant strength displacement discontinuity (DD) analysis of the joint surfaces is carried out for the dry and hydrostatic pressure conditions. The weight of the overlying material acts...

... the permeability of failed finite elements to displacement discontinuities (rather than to effective stresses.) A pressure corrector is applied to maintain mass balance in the system. Failed elements in the fracturing code create new porosity that is exported to the flow code. If no pressure correction is applied...

.... The Cauchy- Pompeiu formula is used to reduce the integrals over the element to those over its contour and evaluate the latter integrals analytically. The system of linear algebraic equations to find the unknown boundary displacement discontinuities is set up via collocation. Several illustrative numerical...

... production operations as well as hydraulic fracture propagation in stimulation treatments. The Displacement Discontinuity Method (DDM) is commonly used for modeling the behavior of fractures in linear-elastic rocks. However, DDM requires the calculation of the influences among all fractures, so...

... fractures. The SIF for pressurized cracks was calculated for Mode I and Mode II, and it was shown that when the distance between hydraulic fractures increases, the Mode I SIF also increases and the Mode II SIF decreases.'ép. pore pressure net pressure displacement discontinuity Upstream Oil...

... Abstract: The displacement discontinuity method (DDM) is frequently used in geothermal and oil industry applications for modeling the behavior of fractures embedded in linear-elastic rocks. The DD method requires O(N 2 ) memory and O(N 3 ) floating point operations (where N...

... case, the corresponding representations for the regions that share the crack as a part of their boundaries are summed, so the final representation involves the displacement discontinuity on the crack surface rather than displacements, e.g. [2]. A novel element consists of the use of complex variables...

..., dilation due to shear slip, fluid flow inside of fracture and flow from fracture into matrix by diffusion are considered. The poroelastic aspect of the problem is handled by displacement discontinuity (DD) techniques. The formulation for the DD techniques has been developed for irregular and intersecting...

.... Temporal variations of injection/extraction rate and pressure-dependent leak-off are also considered. The model uses a coupled finite element/boundary element method to solve for stress, fracture displacements as well as fracture and matrix fluid pressure. The displacement discontinuity method is used...

... a coupled finite element/boundary element method to solve for fluid flow in the fracture/matrix system. The displacement discontinuity method is used to consider ARMA 10-327 3D Poroelastic Analysis of Natural Fracture Response to Variable Injection/Extraction Rates Safari, M.R. and Ghassemi , A. Department...

... parameters. The Displacement Discontinuity Method and the Finite Difference Method are employed to solve this coupled problem. A method for separately tracking the crack tip and the fluid front (accounting for the existence of fluid lag) is also included in the model. Numerical results are obtained for crack...

... discontinuities and tractions at the boundaries. The tractions along the boundaries of the inclusions and the displacements along the boundaries of the holes are represented by truncated complex Fourier series, and series of Chebyshev polynomials are used to approximate the displacement discontinuity...

... fracturing Detournay propagation criterion singular integral equation Upstream Oil & Gas viscosity case savitski fluid-driven fracture viscosity displacement discontinuity hydraulic fracture fracture dependence penny-shaped hydraulic fracture parallel equation propagation Rock Mechanics...

... ABSTRACT: A displacement discontinuity method has been developed for solving three-dimensional dynamic problems. The technique has been used to investigate the dynamic response of supported and unsupported excavations in tabular orebodies. A case is also presented in which slip on a natural...

... fluid pressure traction boundary condition principal stress tangential displacement reservoir geomechanics propagation path fracture fracture mechanics perpendicular boundary condition displacement discontinuity stress field segall Rock Mechanics Contributions and Challenges, Hustrulid...

... is solved numerically with the poroelastic displacement discontinuity method (Detournay and Cheng 1987b). 2 LINEAR POROELASTICITY As noted earlier, there are many different ways to formulate the theory of poroelasticity.Following the continuum mechanical formulation of Rice and Cleary (1976), the total...