Determining Shale Permeability to Gas by Simultaneous Analysis of Various Pressure Tests

SPE Journal ◽  
2012 ◽  
Vol 17 (03) ◽  
pp. 717-726 ◽  
Author(s):  
F.. Civan ◽  
C.S.. S. Rai ◽  
C.H.. H. Sondergeld
Keyword(s):  
Gas Flow ◽  
Pressure Pulse ◽  
Reference Conditions ◽  
Transient State ◽  
Data Interpretation ◽  
Model Parameters ◽  
Apparent Permeability ◽  
Core Samples ◽  
Pulse Transmission ◽  
Pressure Tests

Summary A model-assisted analysis is presented of pressure-pulse-transmission data obtained under different pressure conditions with core plugs of shale-gas formations. Applications and validations for steady-state and transient-state laboratory tests are provided. Best-estimate values of the intrinsic permeability and tortuosity at a reference condition and the Langmuir volume and pressure are determined by matching the solution of a modified Darcy model to several pressure-pulse-transmission flow tests with core samples simultaneously. The data-interpretation model considers the prevailing characteristics of the apparent permeability under the various flow regimes involving gas flow through extremely low-permeability core samples. Further, the present fully pressure-dependent shale-and gas-property formulation allows for model-assisted extrapolation from the reference conditions to field conditions once the unknown model parameters have been estimated under laboratory conditions. The improved method provides a better match to the measurements of the pressure tests than previous models, which assume only Darcy flow.

Simulation of mechanically stirred two-phase liquid-gas flow

1986 ◽  
Vol 51 (5) ◽  
pp. 1001-1015 ◽  
Author(s):  
Ivan Fořt ◽  
Vladimír Rogalewicz ◽  
Miroslav Richter
Keyword(s):  
Spatial Distribution ◽  
Velocity Field ◽  
Gas Flow ◽  
Liquid Velocity ◽  
Model Parameters ◽  
Two Phase ◽  
Mean Velocity ◽  
Rushton Turbine ◽  
Low Viscosity ◽  
Volumetric Gas Flow Rate

The study describes simulation of the motion of bubbles in gas, dispersed by a mechanical impeller in a turbulent low-viscosity liquid flow. The model employs the Monte Carlo method and it is based both on the knowledge of the mean velocity field of mixed liquid (mean motion) and of the spatial distribution of turbulence intensity ( fluctuating motion) in the investigated system - a cylindrical tank with radial baffles at the wall and with a standard (Rushton) turbine impeller in the vessel axis. Motion of the liquid is then superimposed with that of the bubbles in a still environment (ascending motion). The computation of the simulation includes determination of the spatial distribution of the gas holds-up (volumetric concentrations) in the agitated charge as well as of the total gas hold-up system depending on the impeller size and its frequency of revolutions, on the volumetric gas flow rate and the physical properties of gas and liquid. As model parameters, both liquid velocity field and normal gas bubbles distribution characteristics are considered, assuming that the bubbles in the system do not coalesce.

scholarly journals Inertial property of oscillatory flow for pulse injection in porous media

2021 ◽  
pp. 014459872199978
Author(s):  
Bingyu Ji ◽  
Yingfu He ◽  
Yongqiang Tang ◽  
Shu Yang
Keyword(s):  
Capillary Number ◽  
Pressure Pulse ◽  
Two Phase Flow ◽  
Inertial Force ◽  
Inertia Force ◽  
Phase Flow ◽  
High Permeability ◽  
Two Phase ◽  
Apparent Permeability ◽  
Inertial Property

The low-frequency pulse wave makes the velocity of the fluid in the reservoir fluctuate dramatically, which results in a remarkable inertia force. The Darcy’s law was inapplicable to the pulse flow with strong effect of inertial force. In this paper, the non-Darcy flow equation and the calculation method of capillary number of pressure pulse displacement are established. The pressure pulse experiments of single-phase and two- phase flow are carried out. The results show that the periodic change of velocity can decrease the seepage resistance and enhance apparent permeability by generating the inertial force. The higher the pulse frequency improves the apparent permeability by enhancing influence of inertial force. The increase of apparent permeability of high permeability core is larger than that of low permeability core, which indicates that inertial force is more prominent in high permeability reservoir. For the water-oil two-phase flow, inertia force makes the relative permeability curve move towards right, and the equal permeability point becomes higher. In other words, with the increase of capillary number, part of residual oil is activated, and the displacement efficiency is improved.

A Hydrostatic Bearing With Compressible Fluid for Broad Application

2001 ◽  
Author(s):  
John S. Jacob ◽  
Donald E. Bently ◽  
John J. Yu
Keyword(s):  
Compressible Fluid ◽  
Gas Flow ◽  
Flow Model ◽  
Compressible Fluids ◽  
Environmental Benefits ◽  
Model Parameters ◽  
Broad Application ◽  
Hydrostatic Bearing ◽  
Gas Bearing

The use of relatively inviscid, compressible fluids in externally-pressurized bearings has interesting possibilities for both OEM and retrofit applications. The chance to dramatically reduce mechanical losses and bearing heating, the elimination of oil from the process and installation, and the utilization of compressible process fluids as the supporting medium all have potential economic and environmental benefits. An experimental gas bearing rig was constructed to investigate the feasibility of some general applications. Clearance and orifice dimensions were selected based on a fairly simple gas flow model. Bently-Muszynska model parameters for the hydrostatic gas bearing were obtained through static-pull and non-synchronous perturbation testing.

Application of Mathematical Methods to Determine the Field Parameters Related to Diffusion of Methane Gas in a Bulli Seam

1986 ◽  
Vol 10 (4) ◽  
pp. 185-190 ◽  
Author(s):  
A. Basu ◽  
R. D. Lama
Keyword(s):  
Gas Flow ◽  
Darcy’S Law ◽  
Darcy's Law ◽  
Gas Pressure ◽  
Model Parameters ◽  
Fick’S Law ◽  
Mathematical Methods ◽  
Fick's Law ◽  
Diffusion Parameters ◽  
Field Diffusion

The paper describes the application of a mathematical model to describe gas drainage in coal seams. The mechanism of gas flow from coal is not very clear at present. It can either follow Darcy’s law or Fick’s law of diffusion. In the opinion of the authors, a the earlier stages where the gas pressure is high, Darcy’s law applies [8]. At later stages when gas pressure is stabilised, Fick’s law of diffusion is applicable. In this study, therefore, Fick’s law has been applied. Experimental techniques for measuring the system model parameters such as in situ gas pressure and Langmuir’s constants are described. The solutions have been applied in a field experiment to determine field diffusion parameters.

scholarly journals Prediction of Production Performance of Refractured Shale Gas Well considering Coupled Multiscale Gas Flow and Geomechanics

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-21 ◽  
Author(s):  
Zhiqiang Li ◽  
Zhilin Qi ◽  
Wende Yan ◽  
Zuping Xiang ◽  
Xiang Ao ◽  
...  
Keyword(s):  
Shale Gas ◽  
Gas Flow ◽  
Knudsen Diffusion ◽  
Stress Sensitivity ◽  
Production Performance ◽  
Design Parameters ◽  
Production Loss ◽  
Apparent Permeability ◽  
Gas Well ◽  
The Matrix

Production simulation is an important method to evaluate the stimulation effect of refracturing. Therefore, a production simulation model based on coupled fluid flow and geomechanics in triple continuum including kerogen, an inorganic matrix, and a fracture network is proposed considering the multiscale flow characteristics of shale gas, the induced stress of fracture opening, and the pore elastic effect. The complex transport mechanisms due to multiple physics, including gas adsorption/desorption, slip flow, Knudsen diffusion, surface diffusion, stress sensitivity, and adsorption layer are fully considered in this model. The apparent permeability is used to describe the multiple physics occurring in the matrix. The model is validated using actual production data of a horizontal shale gas well and applied to predict the production and production increase percentage (PIP) after refracturing. A sensitivity analysis is performed to study the effects of the refracturing pattern, fracture conductivity, width of stimulated reservoir volume (SRV), SRV length of new and initial fractures, and refracturing time on production and the PIP. In addition, the effects of multiple physics on the matrix permeability and production, and the geomechanical effects of matrix and fracture on production are also studied. The research shows that the refracturing design parameters have an important influence on the PIP. The geomechanical effect is an important cause of production loss, while slippage and diffusion effects in matrix can offset the production loss.

Pressure pulse transmission into vascular beds

1986 ◽  
Vol 32 (2) ◽  
pp. 152-163 ◽  
Author(s):  
Arnold G. Salotto ◽  
Lawrence F. Muscarella ◽  
Julius Melbin ◽  
John K.-J. Li ◽  
Abraham Noordergraaf
Keyword(s):  
Pressure Pulse ◽  
Pulse Transmission ◽  
Vascular Beds

scholarly journals Macroscopic Model for Passive Mass Dispersion in Porous Media Including Knudsen and Diffusive Slip Effects

2021 ◽  
Vol 3 ◽  
Author(s):  
Francisco J. Valdés-Parada ◽  
Didier Lasseux
Keyword(s):  
Boundary Condition ◽  
Porous Media ◽  
Mass Transport ◽  
Gas Flow ◽  
Macroscopic Model ◽  
Type Model ◽  
Pore Scale ◽  
Advective Transport ◽  
Apparent Permeability ◽  
Slip Effects

In this work, a macroscopic model for incompressible and Newtonian gas flow coupled to Fickian and advective transport of a passive solute in rigid and homogeneous porous media is derived. At the pore-scale, both momentum and mass transport phenomena are coupled, not only by the convective mechanism in the mass transport equation, but also in the solid-fluid interfacial boundary condition. This boundary condition is a generalization of the Kramers-Kistemaker slip condition that includes the Knudsen effects. The resulting upscaled model, applicable in the bulk of the porous medium, corresponds to: 1) A Darcy-type model that involves an apparent permeability tensor, complemented by a dispersive term and 2) A macroscopic convection-dispersion equation for the solute, in which both the macroscopic velocity and the total dispersion tensor are influenced by the slip effects taking place at the pore-scale. The use of the model is restricted by the starting assumptions imposed in the governing equations at the pore scale and by the (spatial and temporal) constraints involved in the upscaling process. The different regimes of application of the model, in terms of the Péclet number values, are discussed as well as its extents and limitations. This new model generalizes previous attempts that only include either Knudsen or diffusive slip effects in porous media.

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