scholarly journals Research on Fluid Flow and Permeability in Low Porous Rock Sample Using Laboratory and Computational Techniques

Energies ◽  
2019 ◽  
Vol 12 (24) ◽  
pp. 4684 ◽  
Author(s):  
Paulina Krakowska ◽  
Paweł Madejski
Keyword(s):  
Fluid Flow ◽  
Rock Sample ◽  
Pore Space ◽  
Flow Simulation ◽  
Accommodation Coefficient ◽  
Partial Slip ◽  
Absolute Permeability ◽  
Computational Techniques ◽  
Tangential Momentum Accommodation Coefficient ◽  
Tangential Momentum

The paper presents results of fluid flow simulation in tight rock being potentially gas-bearing formation. Core samples are under careful investigation because of the high cost of production from the well. Numerical simulations allow determining absolute permeability based on computed X-ray tomography images of the rock sample. Computational fluid dynamics (CFD) give the opportunity to use the partial slip Maxwell model for permeability calculations. A detailed 3D geometrical model of the pore space was the input data. These 3D models of the pore space were extracted from the rock sample using highly specialized software poROSE (poROus materials examination SoftwarE, AGH University of Science and Technology, Kraków, Poland), which is the product of close cooperation of petroleum science and industry. The changes in mass flow depended on the pressure difference, and the tangential momentum accommodation coefficient was delivered and used in further quantitative analysis. The results of fluid flow simulations were combined with laboratory measurement results using a gas permeameter. It appeared that for the established parameters and proper fluid flow model (partial slip model, Tangential Momentum Accommodation Coefficient (TMAC), volumetric flow rate values), the obtained absolute permeability was similar to the permeability from the core test analysis.

scholarly journals On the Motion of Small Spheres in Gases. I. General Theory

1972 ◽  
Vol 27 (12) ◽  
pp. 1798-1803 ◽  
Author(s):  
M.M.R. Williams
Keyword(s):  
Specular Reflection ◽  
Mean Free Path ◽  
Accommodation Coefficient ◽  
Spherical Particles ◽  
Surface Scattering ◽  
Scattering Rate ◽  
Tangential Momentum Accommodation Coefficient ◽  
Neutron Thermalization ◽  
Tangential Momentum ◽  
Scattering Kernel

AbstractWe have developed a global scattering kernel which describes the scattering of gas atoms by spherical particles which are small compared with a mean free path in the gas. The global kernel, which is analogous in many ways to the thermal neutron scattering kernel employed in neutron thermalization studies, is given in terms of the gas-surface scattering law for the particle. Thus the global kernel can be studied as a function of specular reflection and incomplete accommodation. The recent model of KUŠČER and of CERCIGNANI is used for the latter investigation and we find that on the average the angular distribution of the scattered gas atoms depends sensitively on the tangential momentum accommodation coefficient but only very weakly on the energy coefficient. However, the phenomenon is strongly dependent on the speed of the approaching gas atom and, for low speed gas atoms, the sensitivity to energy accommodation becomes much more important. The net scattering rate is obtained and put in a form convenient for later calculations to be described in a series of companion papers.

Permeability determination in tight rock sample using novel method based on partial slip modelling and X-ray tomography data

2019 ◽  
Vol 30 (6) ◽  
pp. 3053-3063 ◽  
Author(s):  
Paweł Madejski ◽  
Paulina Krakowska ◽  
Edyta Puskarczyk ◽  
Magdalena Habrat ◽  
Mariusz Jędrychowski
Keyword(s):  
Fluid Flow ◽  
Mass Flow ◽  
Rock Sample ◽  
Partial Slip ◽  
Slip Model ◽  
Flow Rates ◽  
Content Type ◽  
X Ray ◽  
Rock Samples ◽  
Mass Flow Rates

Purpose The purpose of the paper was the application of computational fluid dynamics (CFD) techniques in fluid flow using Maxwell’s equation for partial slip modelling, estimating the flow parameters, and selecting tangential momentum accommodation coefficient (TMAC) for tight rock samples in permeability calculations. Design/methodology/approach The paper presents a numerical analysis of fluid flow in a low-porosity rock sample by using CFD. Modelling results allowed to determine mass flow rates in a rock sample and to calculate permeability values using a modified Darcy’s equation. Three-dimensional (3D) geometrical model of rock sample generated using computed X-ray tomography was used in the analysis. Steady-state calculations were carried out for defined boundary conditions in the form of pressure drop. The simulations were applied taking into account the slip phenomenon described by Maxwell’s slip model and TMAC. Findings Values of permeability were calculated for different values of TMAC, which vary from 0 to 1. Results in the form of gas mass flow rates were compared with the measured value of permeability for rock sample, which confirmed the high accuracy of the presented model. Practical implications Calculations of fluid flow in porous media using CFD can be used to determine rock samples’ permeability. In slip flow regime, Maxwell’s slip model can be applied and the empirical value of TMAC can be properly estimated. Originality/value This paper presents the usage of CFD, Maxwell’s equation for partial slip modelling, in fluid flow mechanism for tight rock samples. 3D geometric models were generated using created pre-processor (poROSE software) and applied in the raw form for simulation.

scholarly journals High accuracy capillary network representation in digital rock reveals permeability scaling functions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Rodrigo F. Neumann ◽  
Mariane Barsi-Andreeta ◽  
Everton Lucas-Oliveira ◽  
Hugo Barbalho ◽  
Willian A. Trevizan ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Rock Sample ◽  
Pore Space ◽  
Fluid Velocity ◽  
Capillary Network ◽  
Porous Rocks ◽  
Flow Simulations ◽  
Network Representation ◽  
Scale Network ◽  
Pore Scale Network

AbstractPermeability is the key parameter for quantifying fluid flow in porous rocks. Knowledge of the spatial distribution of the connected pore space allows, in principle, to predict the permeability of a rock sample. However, limitations in feature resolution and approximations at microscopic scales have so far precluded systematic upscaling of permeability predictions. Here, we report fluid flow simulations in pore-scale network representations designed to overcome such limitations. We present a novel capillary network representation with an enhanced level of spatial detail at microscale. We find that the network-based flow simulations predict experimental permeabilities measured at lab scale in the same rock sample without the need for calibration or correction. By applying the method to a broader class of representative geological samples, with permeability values covering two orders of magnitude, we obtain scaling relationships that reveal how mesoscale permeability emerges from microscopic capillary diameter and fluid velocity distributions.

Sign in / Sign up

Export Citation Format

Share Document