... ) − s ( ∂ p D ∂ r D ) r D = 0 . Eq. 10 results from the definition of the skin effect ( Eq. 6 ) and from a pressure drop at the sandface proportional to the dimensionless sandface flow rate. From Eq. 10 we note that the dimensionless sandface flow rate x...

... derived here are also presented. 4 12 1982 28 8 1984 17 3 1984 1 10 1985 1 10 1985 Copyright 1985, Society of Petroleum Engineers fractured well analytical solution pressure transient testing fracture procedure approximation denote flow period flow rate...

... them to the needs of this study. In light of the previous section, a reasonable course is to retreat to measurements that can be made. For a particular flow system, these are the pressure drop and the flow rate. If one assumes that this experiment represents a small sample of a larger flow...

... dimensionless storage coefficients, and replacing V by qBt gives fenske laplace transform bessel function flow rate fenske approximation drillstem testing fenske conservation method drillstem/well testing pressure drop agarwal approximation equation upstream oil & gas pressure...

... into two-phase fractured reservoirs increases flow rates and decreases enthalpies of producing wells. These two effects offset each other so that injection tends to have small effects on the usable energy output of production wells in the short term. However, if a sufficiently large fraction...

... / v g ) . co 2 gas saturation production control flow rate porosity mass fraction ohaaki permeability horizontal permeability production monitoring flow in porous media relative permeability curve fluid dynamics enthalpy reservoir surveillance saturation exploitation...

... of a randomized honeycomb. A mathematical relation for predicting the pressure dependence of flow rate in sheet pores has been derived from the dimensions of the pores and the elastic constants of the matrix. The equation has been validated by measurements on artificial media containing cracks of known dimensions...

... and, if it does, to provide some information on the size of the unstable perturbations or "fingers" that develop and their rates of growth. upstream oil & gas elliptical finger flow rate production logging instability production control stability analysis combustion front flat front displacement...

... friction factor high-stress region experiment transducer roughness fracture geometry upstream oil & gas flow rate gauge hydraulic fracture fracture length pressure drop Hydraulic fracturing, which has proved a valuable well-stimulation technique for low-permeability reservoirs, has...

... at low gas and liquid flow rates and for negative pipeline inclinations. Slugging in some offshore platforms has required the use of operating procedures that drastically curtail production. Losses in flow capacity up to 50% have been reported. A hydrodynamic model has been developed for severeslug flow...

...-rate range shear rate viscosity capillary viscometer flow rate The role played by the rheology of fracturing fluids in the design of stimulation treatments does not need to be stressed. Friction pressure through pipes and/or annuli, fracture geometry, and proppant placement depend primarily...

... flow in porous media fracture face saturation thickness condensate accumulation upstream oil & gas fluid dynamics matrix rock retrograde condensate imbibition flow rate permeable layer relative permeability drainage fracture complex reservoir condensate condensate drainage...

... monitoring production logging proppant consistency index service company hydraulic fracturing flowmeter fracturing fluid evaluation stability drilling fluid procedure upstream oil & gas instrument fracturing fluid stability heater flow rate technical conference The shear stress...

... error enhanced recovery viscosity ratio reservoir simulation flow rate error analysis flow in porous media estimation penneability fluctuation random number water saturation measurement error oil production fluid dynamics artificial intelligence standard deviation machine learning...

... characteristic velocity reservoir simulation petroleum engineer journal flow rate production monitoring dimensionless time Gas injection is increasingly being applied as a secondary or tertiary recovery technique. In many applications injection gas is not directly miscible...

... flow rate resistance boundary pressure multilayer system incompressible flow crossflow total flow rate reservoir total rate equation semipermeability vertical permeability petroleum engineer journal Real reservoirs normally consist of many layers with dif ferent permeabilities...

... and to maximize oil yield. Extreme variations in oil shale grade that may be encountered as a function of depth can be dealt with by appropriate changes in the composition and flow rate of the inlet gas. In addition, we show that substituting oxygen diluted with steam or CO 2 (for air or air diluted with steam...

... sodium concentration ion exchange flow rate Maintaining an effective level of alkalinity during an alkaline flood is of prime importance in design of this EOR process. Alkaline solution can be consumed in the reservoir through interaction with both reservoir rocks and fluids. The rock...

... pressure. The smaller this differential pressure, the smaller the valve spacing. 11 5 1979 29 6 1983 29 6 1983 1 12 1983 1 12 1983 Copyright 1983, Society of Petroleum Engineers production control gas lift flow rate transfer point water cut production monitoring...

... kpa compressibility grid system gridblock icvf fracture source sink hydraulic fracturing ellipse psia equation upstream oil & gas flow rate dimensionless time flow in porous media numerical reservoir simulation drillstem/well testing reservoir boundary reservoir simulation...