... geologist fracture hydraulic fracturing reservoir characterization displacement displacement discontinuity inter-well frac expansion evolution extension propagation fracture boundary interference complex reservoir shale gas geological subdiscipline breakthrough perforation technology...

... subdiscipline sensitivity study result advanced fracturing modeling combining fracture model fracture fracture propagation operation viscosity natural fracture hydraulic fracture displacement discontinuity discontinuity injection rate fracture behavior ARMA 23 0084 Advanced Fracturing Modeling...

... Abstract Constant displacement discontinuity method (DDM) loses accuracy in predicting the opening and shearing displacement discontinuities of multiple fractures when fractures are closely spaced. We introduced an efficient higher order DDM (HDDM) that extensively improves the accuracy...

... & Gas experiment representation waveform TI model localized effective medium fracture propagation Reservoir Characterization explicit model frequency content propagation perpendicular displacement discontinuity propagation parallel fracture experimental data ARMA 17-0386 Modelling P...

... 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...

... 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...

... 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...

.... 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...

... 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 discontinuity method...

... 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...

... to shear-slip dominated reservoir stimulation. Reservoir Characterization complex reservoir strength flow in porous media Fluid Dynamics hydraulic fracturing aperture stimulation reservoir geomechanics Upstream Oil & Gas fracture aperture displacement discontinuity fluid flow...

.... 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...

... in the interpretation of the pressure history and its analysis. In this work, a three-dimensional poroelastic displacement discontinuity model is developed for modeling natural and induced fractures in rock. The model is poroelastic, and considers the geometric nonlinearity of the joint deformation, temporal variation...

.... The governing equations for quasi-static fluid-driven fractures are given and corresponding scaling is provided to identify important 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...

... 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...

..., Minneapolis, Minn. ABSTRACT: A displacement discontinuity method has been developed for solving three-dimensional dyns.mlc problems. The technique has been used to investigate the dyns.mlc response of supported and unsupported excavations in tabular orebod- ies. A case is also presented in which slip...

... 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...