The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal conjugate fractures for representing the ‘‘complexity’’ of the network. Bifurcation of fractures is performed utilizing the Lindenmayer system based on fractal geometry to describe t...

Abstract Fault-karst reservoirs are featured by complex geological characteristics, and accurate fast simulation of such kind using traditional simulator methods is pretty hard. Herein, we tried to discrete the fault-karst structures into one-dimensional connected units connecting well, fracture cave based on reservoir static physical parameters injection-production dynamics. Two characteristic...

In this article, an open-source code for the simulation of fluid flow, including adsorption, transport, and indirect hydromechanical coupling in unconventional fractured reservoirs is described. The leverages cutting-edge numerical modeling capabilities like automatic differentiation, stochastic fracture modeling, multicontinuum discrete models. mass balance equation, specific physical mechanis...

Abstract The shale gas reservoir is regarded as a dual medium consisting of fracture (hydraulic and discrete natural network) rock matrix, the seepage process in matrix fully considered mathematical model flow accordance with Darcy's law was established. results show influence order hydraulic geometry on cumulative production. Compared aperture 10 –4 m, when –5 m –6 production reduced by 88.0% ...

Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edgerelationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpectedflow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,node connectivity and arc connectivity in fuzzy inci...

Natural fractures are important conduits for fluid-flow and can control the deformational behavior of rock. The accurate evaluation of natural fracture geometry in the subsurface is difficult because of the sampling problems inherent to wellbores and indirect investigation methods such as seismic. Because of these limitations in observational capability, predictive models are needed to provide ...

Abstract Faults and fractures are a critical store pathway for groundwater in Ireland’s limestone bedrock aquifers either directly as conductive structures or indirectly the locus development of karst conduits. From quantitative analysis post-Devonian faults range lithological sequences, this report describes principal characteristics Cenozoic strike-slip joints, youngest most intrinsically wit...