... coefficient mineral equation natural gas reaction tight gas field subsurface storage fluid dynamics experiment supercritical co 2 gas injection injection gas field Introduction Tight sandstone gas reservoirs are widely distributed in China. The prospective resources of tight sandstone gas...

... coefficient fracture closure nfcf model hydraulic fracturing traditional finite conductivity model conductivity enhanced recovery upstream oil & gas pressure response fracture closed fracture critical pressure pressure derivative curve fracture closure linear flow regime equation...

... monitoring systems/intelligent wells enhanced recovery completion installation and operations upstream oil & gas pressure drop icv scenario equation chemical flooding methods flow control equipment drilling operation back pressure simulator surface choke wellhead choke completion equipment...

... out of the core at r 2 , while non-wetting phase enters at r 1 . Increasing the rotational speed further reduces the wetting phase saturation of the core. More discussions about this setup can be found in Andersen et al. (2017 a). Mass Balance Equations We consider a system with immiscible...

... and location. Wormhole propagation from the fracture is considered by using empirical equations for wormhole propagation based on leakoff velocity estimated from the reservoir simulation. The benefits of coupled modeling are evaluated by comparing the conventional acid fracturing model which uses a decoupled...

... connected points along a path and L E is the Euclidean length between these points (see Figure 1 ). When µCT images are considered, the problem has to be solved in the image space and becomes discrete. Some authors assume the Euclidean length L E in equation (1) as the distance L 'E between...

... ( Derived from mass continuity equation and assuming water saturation constant with time and negligible liquid compressibility ) (5) ( σ - σ i ) = [ 0 . 36 x ( - ν ( 1 - ν ) ) × ( P - P i ) + E × ε L 3 × ( 1 - ν...

...Governing Equations and Constraints 4 n t , b u l k = ∑ n i , b u l k = V b u l k ϕ ξ l S l + ξ g S g Abstract Molecular diffusion is a transport mechanism often ignored in conventional, non-fractured multi-component...

...Model for co-current spontaneous imbibition accounting for capillary back pressure Equations for incompressible two phase flow of water ( w ) and oil ( o ) in 1D horizontal porous media can be expressed by the following equations ( Chen et al. 2006 ): Abstract Cocurrent spontaneous...

... fundamental equations describing the process. Second, the fundamental equations are converted into dimensionless domain allowing key dimensionless numbers to be emerged and identified. A discussion of the derived dimensionless numbers and their importance in the context of CO 2 storage is presented...

... Abstract The reservoir simulation is based on the solving of second-order nonlinear Partial Differential Equations (PDEs). Following the high-level of nonlinearity or irregular boundaries, analytical solutions are not applicable to solve the supposed PDEs. To numerically solve the PDEs...

... behavior introduces additional workload when compared with the phase-based formulations in the traditional approach. Here, we apply the Operator-Based Linearization (OBL) approach which not only overcomes this drawback but also turns it to an advantage. In this method, the conservation equations...

... as an approximation of a Langmuir isotherm for small c . The equation for the polymer-capture rate is given by 1.4 ∂ s ∂ t = λ ( s ) c u . For the filtration coefficient λ we assume linear dependence on s , leading to a zero filtration coefficient at s = s...

... Artificial Intelligence Midstream Oil & Gas formulation 1 pipeline formulation Upstream Oil & Gas riser corrosion objective function flow schedule configuration pipeline system fluid modeling materials and corrosion elevation economic value equation optimization formulation pipeline...

... geologic modeling Artificial Intelligence calculation consistency machine learning Upstream Oil & Gas water saturation geological modeling flow in porous media saturation height model porosity saturation dynamic model synthetic capillary pressure curve equation satclass...

... of Brazilian Pre-salt reservoirs. Corey-type equations were used to model the relative permeability due to its simplicity and having fewer parameters involved. The Monte Carlo Markov chain (MCMC) method was used as optimization tool, taking the fluid production and pressure drop measurements collected during...

...Natural Variable Formulation Mass Balance Equations The effort of coupling reactive transport equations and integrating it to a fully functional reservoir simulator has been only attempted recently. Before dwelling into the specific formulation of the transport and reaction equations...

... transmissibility permeability king equation Introduction Carbonate reservoirs offer special challenges in the upscaling of 3D geologic models. In order to represent the complexity and the interactions between depositional and diagenetic controls, these models tend to be highly detailed, with potentially...

... the pseudopressure and initial-time or average-pressure properties of these pressure-dependent parameters to linearize the diffusivity equations with an acceptable accuracy ( Wu et al. 1998 ; Ozkan et al., 2010 ; Li et al. 2011 ; Zeng et al. 2017 ) and use t to represent the pseudotime. The dimensionless...

... where ∇Φ is the gradient of electric potential, S is surface of the pores, and V is volume of the pores. However, the information about the electric potential distribution is not available in field cases, severely limiting the practical use of Equation 3 . Another permeability model...