... proppant natural fracture permeability evolution flowback rate reservoir society of petroleum engineers unpropped part equation fracture closure closure behavior permeability fracture propagation Introduction Unconventional shale reservoirs have become an essential source of production...

... well, and θ ′ = arctan ( K x K y tan   θ ) , θ " = arctan ( K y K x tan   θ ) . Mathematical Equations Matrix Flow Equation For matrix flow, the inner boundary pressure between the matrix system...

... single-phase models. We introduce new three-phase parameters, notably fluids properties. We also define three-phase material balance pseudotime and three-phase pseudopressure to linearize governing flow equations. This linearization makes our model applicable to wells with variable rates and flowing...

... very little mention of the implications of using NTG in flow equations within a reservoir simulator. The paper discusses the derivation and implied assumptions for the simulator NTG formulation and possible errors and proposes modifications to account for inconsistencies. Resolving the NTG flow...

... In the following section, we briefly discuss the governing equations and the cohesive zone method theory for the hydraulic fracturing problem. The cohesive parameters are obtained by fitting load-displacement curve obtained from laboratory experiments with the numerical models. Those parameters...

... the flow in perforation tunnels with flow in the wellbore itself, to obtain a more accurate estimate of maximum sand free production rate in a well. The elastic equations of equilibrium are combined with the Mohr–Coulomb failure criterion to calculate the critical radius. A numerical, iterative solution...

... data flowback diffusivity equation hydraulic fracturing Fluid Dynamics permeability modulus workflow fracture permeability fracture closure society of petroleum engineers specialty plot fracture permeability Clarkson equation fracture pressure Introduction We considered a 1-D two...

... production control hydraulic fracturing transition horizontal wellbore Reservoir Surveillance Upstream Oil & Gas Decline Equation production forecasting drillstem/well testing shale multi-fractured horizontal wellbore production monitoring Drillstem Testing diagnostic plot...

... connections with the low modulus aluminum, ALTISS designed its own 5 ½" premium threaded connection, which exceeded 56,000 ft.-lbs. yield torque in testing. Multiple aluminum tubular specimens were collapsed in a laboratory setting to validate equations which are not covered by API calculations, nor...

... Injection Rate particulate system wormhole complex reservoir carbonate reservoir stimulation jamming diversion well intervention wellbore small particle permeability downhole intervention perforation equation production enhancement Particle Jamming and Sealing: Numerical Model One...

... Rock mechanics fracturing materials fracturing fluid viscosity treatment design Exhibition proppant transport in-situ stress shear rate unconventional reservoir foam quality frac fluid poisson mechanics fracture propagation reservoir equation Introduction Nowadays production...

... equation Upstream Oil & Gas pressure drop extension length horizontal well minimum cutting-carry pump rate Introduction Horizontal well plays an important role in the development of unconventional oil and gas resources, like shale gas( Wang, G.et al. 2016 ), gas hydrate( Sasaki, K. et al...

... reservoir geomechanics experiment borehole scale effect sand production criterion Papamicho inner borehole stability equation sandstone thick-walled cylinder twc value society of petroleum engineers Introduction Different processes of sedimentation create a wide range of unconsolidated...

... is between 1.8 and 4.0. For water-wet rocks the value of saturation exponent is around 2 while it is understood that in oil-wet rocks we have and n > 2. Classical methods of fitting Archie's parameters In order to use Equation 2 that relates the water conductivity to the formation conductivity...

... production rate different residual function limitation production data normalized rate reservoir society of petroleum engineers residual function Arp estimation equation Introduction Decline curve analysis (DCA) is a technique where production data from a well or reservoir is used...

... Upstream Oil & Gas Coiled tubing operations weight factor friction pressure loss slurry flow accuracy prediction pandey probability model selection multiplayer proppant concentration slurry statistical result frictional pressure loss equation proppant concentration correlation...

... fracture fluid viscosity fracture network fluid viscosity equation Introduction In recent years, development of shale gas reservoirs (organic-rich gas bearing shale formation) has become a more important means of accessing fossil energy resources. The key to that development is to stimulate...

... develop a compositionally-extended black-oil model where we solve the compositional equations (gas, oil, and water components) directly so that black-oil data are a function of gas content in the oleic phase and gas-oil capillary pressure. The principle unknowns in the variable bubble-point fully-implicit...

...-slippage correction pore size distribution equation shale sample permeability Introduction Unconventional reservoirs, such as the Marcellus Shale, play an enormous role in hydrocarbon production in the United States. The application of multi-stage hydraulic fracturing treatments in horizontal...

... in developing the approximate solution was to convert the systems of partial differential equations for the dual-porosity model into a system of ordinary-differential equations. After which we developed a function that gives the relationship between the average pressures in the high-and the low-permeability...