Abstract Fractures provide preferential flow paths and establish the internal “plumbing” of rock mass. Fracture surface roughness matedness between surfaces combine to delineate fracture geometric aperture. New published measurements show inherent relation wavelength amplitude. In fact, data cluster along a power trend consistent with fractal topography. Synthetic created using this law, kinema...

The hydraulic fracturing propagation is strongly influenced by the existence of natural fractures. This is a very important factor in hydraulic fracturing operations in unconventional reservoirs. Various studies have been done to consider the effect of different parameters such as stress anisotropy, toughness, angle of approach and fluid properties on interaction mechanisms including crossing, ...

Data on fracture spacing along scan lines have been widely analyzed for the purposes of characterization. Most of these studies, however, either consider the cumulative frequency of spacing data without regard to the actual sequence of the spacing values or compute an average spacing that may not work for clustered fractures. The coefficient of variation parameter is often used to differentiate...

Multi-stage hydraulic fracturing of horizontal wells is the main stimulation method in recovering gas from tight shale gas reservoirs, and stage spacing determination is one of the key issues in fracturing design. The initiation and propagation of hydraulic fractures will cause stress redistribution and may activate natural fractures in the reservoir. Due to the limitation of the analytical met...

Shale gas represents a major fraction of the proven reserves of natural gas in the United States and a collection of other countries. Higher gas prices and the need for cleaner fuels provides motivation for commercializing shale gas deposits even though the cost is substantially higher than traditional gas deposits. Recent advances in horizontal drilling and multistage hydraulic fracturing, whi...

hoffa fracture is a rare injury consisting of unicondylar tangential posterior fracture of the distal femur and only very few cases have been reported in the literature. these fractures are due to high energy trauma and conservative treatment generally yields poor results, but rigid internal fixation allows early functional rehabilitation and decreases the incidence of complications. the purpos...

The mathematical modeling of fracture networks is critical for the exploration and development of natural resources. Fractures can help the production of petroleum, water, and geothermal energy. They also greatly influence the drainage and production of methane gas from coal beds. Orientation and spatial distribution of fractures in rocks are important factors in controlling fluid flow. The obj...

Thermodynamics drive the spontaneous dissolution of a graphite intercalation compound (GIC) KC(8) in NMP to form stable solutions. Reduction potential of graphene is measured at +22 mV vs. SCE. Single layer graphene flakes (ca. 1 μm(2)) have been unambiguously identified by electron diffraction.

The trajectory of a hydraulically driven crack near natural fractures, faults, and inhomogeneities has been studied using the complex variable hypersingular boundary element technique. The crack trajectories are presented for the cases of an oblique and a steeply inclined fault. It has been demonstrated that natural fractures, faults, and other inhomogeneities generate unstable fracture conÞgur...