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Keywords: approximation
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Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 22–26, 2018
Paper Number: SPE-190019-MS
... in Eq. (3b) are solved for v and u . The solution of v provide a continuous approximation of u , (i.e., ũ = Φv ), which does not belong to the feasible set and is only used to find the discrete feasible solution u , through a mapping (Eq. (3c)) that is discussed later in this section. Second...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 22–26, 2018
Paper Number: SPE-190128-MS
.... In this work, we develop an indirect method for solving the constrained minimization problem by defining a two-step alternating directions method. In this approach, the first step uses a standard gradient-based method to find an approximate continuous solution to the problem, and the second step maps...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western North American and Rocky Mountain Joint Meeting, April 17–18, 2014
Paper Number: SPE-169521-MS
... fracturing design under geospatial variability in shale fracability and investigate several aspect of the design and optimization of the fracturing process. The optimization of the hydraulic fracturing design is performed using the Simultaneous Perturbation Stochastic Approximation algorithm to maximize...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional & AAPG Pacific Section Meeting 2013 Joint Technical Conference, April 19–25, 2013
Paper Number: SPE-165330-MS
... algorithm membership value algorithm minimum breakpoint Mendel Artificial Intelligence maximum breakpoint WM method knowledge original wm method breakpoint approximation data pair numerical data rule base Introduction In recent years, research in the field of applied artificial...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional and Pacific Section AAPG Joint Meeting, March 29–April 2, 2008
Paper Number: SPE-113948-MS
... analysis of ramped temperature oxidation data appears to provide new insight into systems where ISC is/is not successful. Artificial Intelligence oxidation activation energy thermal method SAGD approximation reaction model heating rate pre-exponential factor machine learning steam-assisted...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, March 8–10, 1995
Paper Number: SPE-29660-MS
.... This work improves upon the previous ones by accounting for the unsteady-state effects in the heat flow process as well as considering the effect of the moving interface, in cylindrical coordinates. The solution incorporates a Heat Integral Method (HIM) to approximate the 2-D heat transfer in the reservoir...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, May 26–28, 1993
Paper Number: SPE-26118-MS
... of computation, and an application to a naturally cross-bedded formation. grid block approximation application crossbedded reservoir durlofsky tensor permeability boundary condition upstream oil & gas fluid dynamics harmonic average reservoir simulation flow in porous media computation...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, March 30–April 1, 1992
Paper Number: SPE-24077-MS
... extended to describe this override behaviour, by using a semi-steady state approximation for the heat transfer at the steam condensation front (SCF). In the absence of heat losses the ensuing equations are completely analogous to the equations for oil-water flow. We have also incorporated heat losses...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, April 8–10, 1987
Paper Number: SPE-16377-MS
... for the interpretation of simultaneously measured downhole flow rate and pressure. well-reservoir system approximation wellbore storage spe 16377 gladfelter deconvolution derivative upstream oil & gas wellbore pressure drillstem testing jrpi straight line wellbore flow rate downhole flow rate...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, April 8–10, 1987
Paper Number: SPE-16378-MS
... location. productivity type curve well location well response upstream oil & gas flow period permeability vertical well drainhole spe 16378 pressure drop approximation pseudoskin factor pressure response wellbore pressure pseudoradial flow period dimensionless pressure horizontal...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, April 2–4, 1986
Paper Number: SPE-15050-MS
... play type hydraulic fracturing production logging production control perpendicular cold lake heavy oil play canada government fracture plane unconventional play complex reservoir reservoir surveillance reservoir characterization society matrix production monitoring plane approximation...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, April 2–4, 1986
Paper Number: SPE-15116-MS
... to the single drainhole solution if dimensionless variables are defined relative to the number of drainholes. Consequently, the pressure response of a uniform flux vertical fracture can also be approximated by a vertical array of drainholes. The pressure response for infinite conductivity drainholes is also...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, March 27–29, 1985
Paper Number: SPE-13597-MS
... hydrate dissociation differential equation schlichting initial condition boundary surface united states government hydrate dissociated dissociation interface gas production thermal layer hydrate situ hydrate spe 13597 approximation INTRODUCTION Natural gas hydrates represent...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, March 23–25, 1983
Paper Number: SPE-11688-MS
... storativity boundary condition pressure transient testing united states government fractured reservoir spe 11688 fracture complex reservoir root 3 equation matrix model approximation well test data analysis INTRODUCTION In the last two decades considerable work has been devoted...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE California Regional Meeting, March 23–25, 1983
Paper Number: SPE-11726-MS
... flow terms. enhanced recovery internal energy saturation reservoir simulation equation finite element method upstream oil & gas displacement spot pattern mass flux procedure continuity equation approximation permeability computational molecule mobility grid block fluid...