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Keywords: equation
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Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 26–28, 2022
Paper Number: SPE-209257-MS
... the sensitivity of the InSAR data and localize the effects of the near-surface overburden, we employ a Green's function retrieval (GFR) approach that uses time-lapse InSAR data. In this work, we derive the equations and compute the sensitivity between InSAR displacements caused by the reservoir changes...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 26–28, 2022
Paper Number: SPE-209277-MS
... reservoir production data conventional oil reservoir equation oil production synthetic reservoir reservoir drillstem/well testing deep learning architecture configuration type curve Introduction Production performance of the oil reservoirs is studied with different techniques...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 26–28, 2022
Paper Number: SPE-209288-MS
... reformation region pipeline esp frequency esp system equation Introduction Most of natural gas hydrate reservoirs are deposited in marine sediments, which are of great potential and high energy density. The common exploitation methods of NGH include depressurization, thermal stimulation, CO 2...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Western Regional Meeting, April 26–28, 2022
Paper Number: SPE-209300-MS
... equation. We seek methods for projecting the nonlinear state problem onto a linear (or weakly linear) space based on several methods – namely, time delay embedding, physics-inspired features, and dynamic mode decomposition (DMD). This augments the information contained in the system state with measurements...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 20–22, 2021
Paper Number: SPE-200797-MS
... uncertainty limit probability permittivity oil-water mixture equation error model normal 1 sensitivity coefficient Accurate measurement of the percent water content or "water cut" in an oil-water mixture is an essential aspect of production gauging. Net oil rate V o · is computed...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 20–22, 2021
Paper Number: SPE-200827-MS
.... Boron can interact with clays, which can influence the accuracy in seawater breakthrough calculation using boron. Therefore, the interaction between boron and different clays at various conditions were studied, and Freundlich adsorption equation was used to describe the boron adsorption isotherms...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 20–22, 2021
Paper Number: SPE-200794-MS
... fluid dynamics reduced-order modeling matrix multiplication rom equation training run Optimization and uncertainty quantification studies may require hundreds or thousands of reservoir simulations, and many of these runs involve similar setups. For example, in production optimization...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195276-MS
... The whole system is assumed infinite acting horizontally ( Equation (10) ). (10) p 1 ( t , x → ∞ , y ) = p 2 ( t , x → − ∞ , y ) = p a 1 ( t , x → ∞ , y ) = p a 2 ( t , x → − ∞ , y ) = p f 1 ( t , y...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195273-MS
... pressure, critical properties, and phase boundary. In this work, real gas effect is firstly incorporated into the original Kelvin equation, along with the pore size effect on surface tension, the multilayer adsorption, and the molecule-wall interaction potential to improve the accuracy of the capillary...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195359-MS
... area flow in porous media Engineering porosity Reservoir Engineering pore throat aperture structural geology flow unit sandstone Cosenza equation reservoir geomechanics Fluid Dynamics correlation Biot coefficient approximate separation permeability The amount of poroelastic...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195291-MS
... the minimum heating volume is demonstrated by assuming the heat losses from an equivalent vertical well. Besides, time-dependent average temperature, pressure and saturation are included to demonstrate steam override effect. Instead of using conductivity equation, frictional pressure loss from toe to heel...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195342-MS
.... Substituting Eqs. (2) and (3) into Eq. (1) and adjusting the equation form, we could obtain Abstract The boundary element method (BEM) is widely used in modeling fluid flow in fractured reservoirs. However, the computation is extremely expensive when real heterogeneity and large numbers...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195319-MS
... Abstract Understanding the thermodynamics of fluids in capillary media is essential to achieve a precise modeling of EOR applications such as hybrid (with thermal methods) and sole solvent injection processes. The theoretically derived classical Kelvin equation describes the influence...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195285-MS
... significant consequences when relaxation time is comparable to the characteristic time associated with the fluid flow field. However, the existing models are lacking to account for this complicated relation between particles and fluid. In this paper, we adapt the general form of harmonic oscillation equation...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195343-MS
... to 94.7 psia) and temperatures ranging from 60 to 122 °C (140 to 250 °F). This is the first time that laboratory and flow loop data have been used to conduct an in-depth assessment of published tables and empirical equations for oil and water SOS and density. As a result, this effort has produced...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195286-MS
... of Laplace transform, and f ( s ) is written as, (2) f ( s ) = s w s ( 1 − ω ) + λ s ( 1 − ω ) + λ   , By superposition, the pressure response equations at each fracture vertex is (3) p ¯ F D i = ∑ k = 1 n p ∫ y w D k...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195327-MS
..., pressure-dependent permeability are handled in the model, these factors can be included in the definition of pseudo-time and pressure to linearize the model ( Williams-Kovacs and Clarkson 2016 ; Wu et al. 2016 ). Using the dimensionless variables defined in Appendix A , the governing equation...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195338-MS
... to overlay each other are direct applications of scaling factors. Because the curves match a known analytical solution, the vertical and horizontal displacements reflect the difference in parameters which appear in the dimensionless variables in the analytical model. In equation form, (3) R S F...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195308-MS
... are considered in the modeling process. We note that, although time-dependent fractures are investigated in this study, calculation of variable-rate pressure buildup response is still based on the solution of linear differential equations governing fluid flow in a reservoir. Hence, the convolution theorem can...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 23–26, 2019
Paper Number: SPE-195321-MS
... Artificial Intelligence Thickness water movement saturation map surveillance equation Reservoir Characterization modeling information waterflood production history saturation reservoir simulation calculation water saturation producer algorithm geology data machine learning...

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