... is adopted to approximate the connectivity patterns in the distribution of facies models. Because of the approximation involved in the k -SVD parameterization, an additional step is introduced, after each iteration, to map the resulting continuous models to the TI. To implement the mapping, a local search...

... to impose geologic feasibility. Upstream Oil & Gas Artificial Intelligence approximation template iteration parameterization feature vector History basis function machine learning Jafarpour model parameter continuous solution model calibration training image algorithm society...

... of the hydraulic fracturing design is performed using the Simultaneous Perturbation Stochastic Approximation algorithm to maximize the net present value of the shale asset that includes the cost of fracturing and revenue from gas production. The proposed optimization framework provides a systematic hydraulic...

... approximation FCM algorithm algorithm numerical data Wang minimum breakpoint Mendel data pair Artificial Intelligence maximum breakpoint WM method knowledge original wm method breakpoint rule base Introduction In recent years, research in the field of applied artificial intelligence (AI...

... thermal method SAGD approximation reaction model experiment pre-exponential factor in-situ combustion crude oil heating rate iso-conversional method machine learning steam-assisted gravity drainage concentration prediction assumption oxygen concentration combustion kinetic analysis...

... of computation, and an application to a naturally cross-bedded formation. grid block approximation application crossbedded reservoir tensor permeability durlofsky cross-section spe 26118 calculation pressure gradient society of petroleum engineers boundary condition upstream oil & gas...

.... Consequently, the ratio of the liquid velocity to steam velocity normal to the SCF is given by the normalisation factor m , which is constant along the SCF. Heat transfer to adjacent formations is due to one-dimensional conduction in the cross dip direction only. In addition we apply the approximation...

... for a radial system. Of course, ξ = 1 and δ = 0 if the deconvolution is exact. The dimensionless reciprocal productivity index is defined as well-reservoir system approximation wellbore storage spe 16377 gladfelter deconvolution derivative semilog straight line drillstem/well testing pwd...

... , and z D = z/h . The symbol L D denotes the dimensionless well length and is given by the following relation: Asymptotic Forms of <xref ref-type="disp-formula" rid="eq1">Eq. 1</xref> Short and long time approximations of Eq. 1 can be derived using the methods given in Refs. 7 and 8...

... thermal method unconventional play geologist complex reservoir petroleum play type reservoir surveillance united states government production logging geology reservoir characterization society matrix production monitoring plane approximation hydraulic fracturing production control heavy...

... flux vertical fracture. The pressure transient response for multiple drainholes is identical 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...

... the thermal layer from x=0 to x=δ(t). This gives Goodman (1958) presented an approximate solution to an ablation problem similar to the problem encountered in the present study. This solution utilizes the heat-balance integral method together with a second-degree polynomial approximation...

... flow terms. finite element method upstream oil &amp; gas displacement spot pattern enhanced recovery internal energy saturation reservoir simulation equation procedure continuity equation approximation mass flux permeability computational molecule mobility grid block...