Through this research, embedded synthetic fracture networks in rock masses are studied. To analysis the fluid flow complexity in fracture networks with respect to the variation of connectivity patterns, two different approaches are employed, namely, the Lattice Boltzmann method and graph theory. The Lattice Boltzmann method is used to show the sensitivity of the permeability and fluid velocity ...

Natural fracture growth plays an important role in shale-oil enrichment. Systematically investigating features and their controlling factors reservoirs is essential for accurately predicting distribution. The of distribution the continental shale Qingshankou Formation Songliao Basin, China, were systematically analyzed based on quantitative characterization outcrops cores. Strata-confined fract...

There is renewed interest in using advanced techniques to characterize ancient Roman concrete. In the present work, samples were drilled from "Hospitium" Pompeii and analyzed by synchrotron microtomography (uCT) neutron radiography study how microstructure, including presence of induced cracks, affects their water adsorption. The distribution absorptivity quantified radiography. 3D crack propag...

In this paper, we obtain the upper and lower bounds on the eccen- tricity connectivity index of unicyclic graphs with perfect matchings. Also we give some lower bounds on the eccentric connectivity index of unicyclic graphs with given matching numbers.

In this paper we present explicit formulas for the eccentric connectivity index of three classes of chain hexagonal cacti. Further, it is shown that the extremal chain hexagonal cacti with respect to the eccentric connectivity index belong to one of the considered types. Some open problems and possible directions of further research are mentioned in the concluding section.

In theoretical chemistry, -modified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum -modified Wiener index of graph with fixed connectivity or edge-connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

the stability of a communication network composed of processing nodes and communication links is of prime importance to network designers. as the network begins losing links or nodes, eventually there is a loss in its effectiveness. thus, communication networks must be constructed to be as stable as possible, not only with respect to the initial disruption, but also with respect to the possible...

Fracture networks dominate the permeability of crystalline geothermal reservoir rocks. Insitu stress conditions have a significant impact on the flow, transport and exchange characteristics of fracture networks. Here a geomechanical model is presented which describes fracture closure under effective stress and the change in parameters such as storage, permeability, porosity and aperture. The mo...