Criteria Parameters for Fluid Flow Simulation in Tight Reservoir Rocks
|
|
- Augustus Thompson
- 6 years ago
- Views:
Transcription
1 Paulina Krakowska 1, Paweł Madejski AGH University of Science and Technology Logistyka - nauka 2 Criteria Parameters for Fluid Flow Simulation in Tight Reservoir Rocks Introduction Nowadays, academic and industry units are focused on unconventional resources, as shale gas and tight gas, exploration and production. A lot of efforts is put into the scientific and logistic aspects, e.g. reservoir parameters estimation, process of well site and water tanks for hydraulic fracturing preparations. For the scientific point of view, the main concern is connected with the porosity and permeability estimation, as a parameters deciding about the reservoir potential. Combination of computed microtomography and fluid flow simulation approach leads to rock permeability estimation as a reservoir parameter deciding about the rock potential to fluid (hydrocarbons and/or formation water) flow in porous space [1, 4, 5, 6, 7, 8]. For the proper simulation run and results two aspects are needed to be considered: modelling approach and the flow regime. The Knudsen number classifies the modelling approach and Reynolds number flow regime. Criteria parameters in fluid flow analysis in porous media One of the most important parameter in process preparation of fluid flow simulation is the Knudsen number. The Knudsen number Kn should be consider as a condition which classifies the modelling approach. The value of Knudsen number represents the ratio of the molecular mean free path length λ of analyzed gas to a representative physical length scale l: Kn where: λ = (1) l λ mean free path (m), l representative physical length scale (m). The mean free path represents the possible distance of the particles traveling of analyzed gas as the effect of their collisions. The mean free path for selected gas is strongly depended on the gas pressure and should be estimated for a mean gas pressure inside the whole analyzed sample. The representative physical length scale, in case of fluid flow simulation in the pore space, is a value of the lowest channel diameter in analyzed sample. The possible modelling approaches according to Knudsen number [2] are presented in Table 1. 1 M. Sc. P. Krakowska, PhD student, AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Department of Geophysics, Krakow, Poland 2 M. Sc. P. Madejski, PhD student, AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Power Systems and Environmental Protection Facilities, Krakow, Poland 4537
2 Table 1. Modelling approaches according to Knudsen number Modelling approach Knudsen number (Kn) Models Continuum flow Kn Boltzmann, Euler, no-slip Navier-Stokes equations Slip flow 0.001<Kn<0.1 Boltzmann, slip Navier-Stokes equations Transition flow 0.1<Kn<10 Boltzmann, Burnett equations Free molecular flow 10 Kn Boltzmann equation The second important criteria parameter in fluid flow simulation is the Reynolds number, which is calculated by modifying the equation for porous media: Re where: p ρvd f = µ (2) d grain diameter (m), ρ fluid density (kg/m 3 ), v f superficial velocity (m/s), µ fluid dynamic viscosity (Pa s). Reynolds number is determined in order to check if the simulation may be performed in range of laminar, transition or turbulent flow conditions (Figure 1). The range of Reynolds numbers for porous media is not unique. Respective ranges of applicability of flow equations determine the correct flow regimes. In different papers it is possible to find the various limits for Reynolds number [4, 9]. The exemplary limitations for the range of Reynolds number for porous media presented in Figure 1 are presented in Table 2. Fig. 1. Flow rate (superficial velocity) in porous media as a function of pressure gradient with characterized ranges for laminar, transition and turbulent flow [9] 4538
3 Table 2. The ranges of Reynolds number for porous media Re p to classify flow condition Flow condition Pre-Darcy Flow Darcy Flow Forchheimer Flow Turbulent Flow Reynolds number, Re p <Re <(1 3) (1 3)<Rep <(10 15) (10 15)<Rep <(80 120) (80 120)<Rep< p Method of criteria parameters estimation Computed microtomography is a powerful tool in obtaining 3D images of the rock pore space [10, 11]. The full analysis of the pore throats and channels may be carried out owing to micro-ct 3D images. To calculate the Knudsen number the representative physical length scale (diameter) in the smallest pore channel is required. These parameter may be measured on the basis of micro-ct 3D images. The Reynolds number is obtained using grain diameter which also may be estimated from micro-ct slices. After determination of criteria parameters for fluid flow simulation the proper modelling approaches and fluid regimes are set. The Knudsen number and Reynolds number were calculated for the Carboniferous sandstone sample, cored at 3154 m depth, of total porosity obtained from micro-ct equal to 12.6%. The Figure 2 presents the results obtained using the micro-ct technique. Fig. 2. The example of pore space visualization using micro-ct [10] On the basis of micro-ct images the values of representative physical length scale and grain diameter was determined. These values are required to estimate criteria parameters described above as a Knudsen and Reynolds numbers. To calculate the Knudsen number, value of representative physical length was founded from the 3D microtomographic image. The smallest pore channel diameter presented in Figure 3 is equal to 12 μm. Assuming the mean free path λ of nitrogen, in standard temperature and pressure conditions, as equal to 10*10-8 m [3], the Knudsen number reaches value equal to Kn= The Knudsen number reached value close but less than Kn 0.001, what allows to use the no-slip Navier-Stokes equations as the proper approach for the fluid flow simulation. If Kn reaches higher value, then slip Navier- Stokes equations should be applied to the fluid flow modelling. 4539
4 Fig. 3. The lowest channel diameter in the pore space divided into the finite volumes In case of Reynolds number estimation, the mean grain diameter value of rock sample was calculated based on similar approach as the Knudsen number. The average mean diameter for analyzed sample is equal to 250 μm. The fluid properties of nitrogen, used as in flow simulation were set as ρ n =f(p n, T n ), where p n =100 kpa and T n =273.15K, ρ n =1.123 kg/m 3 and μ n =1.663*10-5 Pa*s. If nitrogen superficial velocity v f through the pore space is equal to 0.05 m/s (based on measured nitrogen mass flow rate and its density) the Reynolds number, calculated using equation (2), is equal to 0.84 and confirms the laminar flow condition in pore space, in Pre-Darcy range. Conclusions The results of computed microtomography for the sandstone sample were discussed. On the basis of micro-ct images the representative physical length diameter in the smallest pore channel and grain diameter were obtained by the detailed analysis of the 3D images. For carrying out the correct fluid flow simulations two criteria parameters have to be evaluated: the Knudsen number and Reynolds number. The Knudsen number determines the modelling approach: continuum, slip, transition or free molecular. Reynolds number checks if the simulation may be performed in laminar flow conditions (Darcy law regime). 3D image analysis allowed to qualitative and quantitative estimation of the Carboniferous sandstone sample pore throats and channels and informed about the sample pore space complexity. Computed microtomography together with fluid flow simulations gave a new insight in determination of the rock reservoir parameters. Analysis of micro-ct images provides the information about pore space complexity. Abstract Combination of computed microtomography and fluid flow simulation approach leads to rock permeability estimation as a reservoir parameter deciding about the rock potential to fluid (hydrocarbons and/or formation water) flow in porous space. For the proper simulation run and results two aspects are needed to be considered: modelling approach and the flow regime. The Knudsen number classifies the modelling approach and Reynolds number flow regime. The Knudsen number and Reynolds number were calculated for the Carboniferous sandstone sample, cored at 3154 m depth and with total porosity obtained from micro-ct equal to 12.6%. Keywords: Knudsen number, Reynolds number, computational fluid dynamics, computed microtomography, reservoir potential of rocks 4540
5 PARAMETRY KRYTERIALNE SYMULACJI PRZEPŁYWU PŁYNÓW PRZEZ SKAŁY ZBITE Streszczenie W pracy zostały omówione parametry kryterialne oraz sposoby ich wyznaczania w celu poprawnego modelowania zjawiska przepływu płynu przez ośrodki porowate z zastosowaniem komputerowej mechaniki płynów. Poprawny dobór poszczególnych równań i modeli podczas komputerowej symulacji przepływu płynu wymaga obliczenia kryterialnych parametrów, jakimi są liczba Knudsena i liczba Reynoldsa. Wartości liczb kryterialnych determinują możliwe do zastosowania podejście w modelowaniu przepływów oraz określają zakres charakteru przepływu, jaki występuje w analizowanym przypadku. W pracy przedstawione zostały wyniki obliczeń parametrów kryterialnych dla piaskowca karbońskiego. Słowa kluczowe: liczba Knudsena, liczba Reynoldsa, modelowania zjawiska przepływu płynu, ośrodek porowaty References [1] Amao A.M.: Mathematical model for Darcy Forchheimer flow with applications to well performance analysis, Praca doktorska, Texas Tech University, Misato, [2] Civan F.: Porous media transport phenomena, John Wiley & Sons Inc., New Jersey, [3] Couture L.,Zitoun R.: Statistical Thermodynamics and Properties of Matter, Gordon and Breach Science Publishers, Amsterdam, [4] Darby. R.: Chemical Engineering Fluid Mechanics, Marcel Dekker Inc., New York, [5] Krakowska P., Madejski P.: Computational fluid dynamics to determine reservoir parameters of rocks, Logistyka , CD Logistyka nauka: revised articles, pp , [6] Krakowska P., Madejski P., Jarzyna J.: Permeability Estimation Using CFD Modeling in Tight Carboniferous Sandstone, European Association of Geoscientists and Engineers EarthDoc database, Th P06 05, pp. 1 5, [7] Ozgumus T., Mobedi M., Ozkol U.: Determination of Kozeny constant based on porosity and pore to throat size ratio in porous medium with rectangular rods, Engineering Applications of Computational Fluid Mechanics Vol. 8, No. 2, pp , [8] Narsilio G., Buzzi O., Fityus S., Yun T., Smith D.: Upscaling of Navier- Stokes equations in porous media: Theoretical, numerical and experimental approach, Computers and Geotechnics, 36, Elsevier, pp [9] Peszyńska M., Trykozko A., Sobieski W.: Forchheimer law in computational and experimental studies of flow through porous media at porescale and mesoscale, GAKUTO International Series, Mathematical Sciences and Applications, vol. 32, Tokyo, pp , [10] Zalewska J., Dohnalik M., Łykowska G., Kiernicki J.: Sprawozdanie Nr 37/11/2011. Badanie własności petrofizycznych skał wybranych formacji gazonośnych, Instytut Nafty i Gazu, Kraków, 2011 [11] Zalewska J.: Rentgenowska mikrotomografia komputerowa w badaniu skał węglanowych, Oil and Gas Scientific Articles nr 171, INiG Publishing, Kraków,
6 Acknowledgments Authors thank to Ministry of Environment Protection for access to core samples. Laboratory measurements were carried out in Oil and Gas Institute in Krakow, Poland. The project was founded by the National Science Centre on the basis of decision DEC-2011/03/N/ST10/05354, nr AGH and realized at Faculty of Geology, Geophysics and Environment Protection AGH UST. 4542
Th P06 05 Permeability Estimation Using CFD Modeling in Tight Carboniferous Sandstone
Th P06 05 Permeability Estimation Using CFD Modeling in Tight Carboniferous Sandstone P.I. Krakowska (AGH University of Science and Technology in Krakow), P.J. Madejski* (AGH University of Science and
More informationSHALE GAS FORMATIONS IN POLAND NEW EVALUATION METHODS FOR PROCESSING AND QUANTITATIVE INTERPRETATION USING COMPUTED X-RAY TOMOGRAPHY
SCA2017-099 1 of 9 SHALE GAS FORMATIONS IN POLAND NEW EVALUATION METHODS FOR PROCESSING AND QUANTITATIVE INTERPRETATION USING COMPUTED X-RAY TOMOGRAPHY *Krakowska P., *Puskarczyk E., **Jędrychowski M.,
More informationMULTISCALE MODELING OF GAS TRANSPORT AND STORAGE IN SHALE RESOURCES
MULTISCALE MODELING OF GAS TRANSPORT AND STORAGE IN SHALE RESOURCES Ali Takbiri-Borujeni 12/02/2014 WHAT TO EXPECT An introduction to gas transport modeling techniques and their complexities at different
More informationFig. 1 Fig. 2 Fig. 3 Figs. 4-6 Fig. 4 Fig. 5 Fig. 6 CONCLUSIONS
SCA2018-049 1/9 X-ray computed tomography supported by nuclear magnetic resonance and mercury porosimetry as novel approach in pore space characterization of tight sandstones *Krakowska P., *Puskarczyk
More informationFlow of shale gas in tight rocks using a non-linear transport model with pressure dependent model parameters
Engineering Conferences International ECI Digital Archives Sixth International Conference on Porous Media and Its Applications in Science, Engineering and Industry Proceedings 7-4-2016 Flow of shale gas
More informationLATTICE-BOLTZMAN METHOD IN CFD MODELLING OF DIRECT ACTING RELIEF VALVE
TECHNICAL TRANSACTIONS MECHANICS CZASOPISMO TECHNICZNE MECHANIKA 4-M/2016 MARIUSZ DOMAGAŁA* LATTICE-BOLTZMAN METHOD IN CFD MODELLING OF DIRECT ACTING RELIEF VALVE MODELOWANIE CFD ZAWORU PRZELEWOWEGO BEZPOŚREDNIEGO
More informationSupplementary Information for Engineering and Analysis of Surface Interactions in a Microfluidic Herringbone Micromixer
Supplementary Information for Engineering and Analysis of Surface Interactions in a Microfluidic Herringbone Micromixer Thomas P. Forbes and Jason G. Kralj National Institute of Standards and Technology,
More informationComparison of rock pore space based on X-ray computed microtomography (micro-ct) and nuclear magnetic resonance (NMR) data.
NAFTA-GAZ październik 2011 ROK LXVII Jadwiga Zalewska, Marek Dohnalik Oil and Gas Institute, Krakow Comparison of rock pore space based on X-ray computed microtomography (micro-ct) and nuclear magnetic
More informationModeling of 1D Anomalous Diffusion In Fractured Nanoporous Media
LowPerm2015 Colorado School of Mines Low Permeability Media and Nanoporous Materials from Characterisation to Modelling: Can We Do It Better? IFPEN / Rueil-Malmaison - 9-11 June 2015 CSM Modeling of 1D
More informationNumerical and Laboratory Study of Gas Flow through Unconventional Reservoir Rocks
Numerical and Laboratory Study of Gas Flow through Unconventional Reservoir Rocks RPSEA Piceance Basin Tight Gas Research Review Xiaolong Yin, Assistant Professor Petroleum Engineering, Colorado School
More informationNON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES
THERMAL SCIENCE, Year 2012, Vol. 16, No. 1, pp. 167-176 167 NON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES by Antonio F. MIGUEL Geophysics Centre of Evora & Department of Physics, University of
More informationPermeability of Dual-Structured Porous Media
56 The Open Transport Phenomena Journal, 2011, 3, 56-61 Permeability of Dual-Structured Porous Media Open Access Ehsan Khajeh * and Daan M. Maijer Department of Materials Engineering, The University of
More informationPore Scale Analysis of Oil Shale/Sands Pyrolysis
Pore Scale Analysis of Oil Shale/Sands Pyrolysis C.L. Lin, J.D. Miller, and C.H. Hsieh Department of Metallurgical Engineering College of Mines and Earth Sciences University of Utah Outlines Introduction
More informationAnalysis of rock pore space saturation distribution with Nuclear Magnetic Resonance (NMR) method. Part II
NAFTA-GAZ wrzesień 2011 ROK LXVII Jadwiga Zalewska, Dariusz Cebulski Oil and Gas Institute, Krakow Analysis of rock pore space saturation distribution with Nuclear Magnetic Resonance (NMR) method. Part
More informationDARCY S AND FORCHHEIMER S LAWS IN PRACTICE. PART 1. THE EXPERIMENT
Technical Sciences 17(4), 2014, 321 335 DARCY S AND FORCHHEIMER S LAWS IN PRACTICE. PART 1. THE EXPERIMENT Wojciech Sobieski 1, Anna Trykozko 2 1 Department of Mechanics and Machine Design University of
More informationPhysical Models for Shale Gas Reservoir Considering Dissolved Gas in Kerogens
Physical Models for Shale Gas Reservoir Considering Dissolved Gas in Kerogens Cai Wang, Gang Lei, Weirong Li, Lei Wang, Zunyi Xia, and Huijie Wang, Peking University Abstract To figure out the complexity
More informationRATE OF FLUID FLOW THROUGH POROUS MEDIA
RATE OF FLUID FLOW THROUGH POROUS MEDIA Submitted by Xu Ming Xin Kiong Min Yi Kimberly Yip Juen Chen Nicole A project presented to the Singapore Mathematical Society Essay Competition 2013 1 Abstract Fluid
More informationOn the origin of Darcy s law 1
Chapter 1 On the origin of Darcy s law 1 Cyprien Soulaine csoulain@stanford.edu When one thinks about porous media, the immediate concepts that come to mind are porosity, permeability and Darcy s law.
More informationIntegrated Approach to Drilling Project in Unconventional Reservoir Using Reservoir Simulation
Integrated Approach to Drilling Project in Unconventional Reservoir Using Reservoir Simulation Jerzy Stopa 1,*, Rafał Wiśniowski 1, Paweł Wojnarowski 1, Damian Janiga 1, and Krzysztof Skrzypaszek 1 1 AGH
More informationDARCY S AND FORCHHEIMER S LAWS IN PRACTICE. PART 2. THE NUMERICAL MODEL
Technical Sciences 17(4), 2014, 337 350 DARCY S AND FORCHHEIMER S LAWS IN PRACTICE. PART 2. THE NUMERICAL MODEL Wojciech Sobieski 1, Anna Trykozko 2 1 Department of Mechanics and Machine Design University
More informationNumerical and Laboratory Study of Gas Flow through Unconventional Reservoir Rocks
Numerical and Laboratory Study of Gas Flow through Unconventional Reservoir Rocks RPSEA Piceance Basin Tight Gas Research Review Xiaolong Yin, Assistant Professor Petroleum Engineering, Colorado School
More informationPermeability and fluid transport
Permeability and fluid transport Thermal transport: Fluid transport: q = " k # $p with specific discharge (filter velocity) q [m s 1 ] pressure gradient p [N m 3 ] dynamic viscosity η [N s m 2 ] (intrinsic)
More informationFractional Transport Models for Shale Gas in Tight Porous Media
Engineering Conferences International ECI Digital Archives Sixth International Conference on Porous Media and Its Applications in Science, Engineering and Industry Proceedings 7-5-2016 Fractional Transport
More informationComparison of Heat and Mass Transport at the Micro-Scale
Comparison of Heat and Mass Transport at the Micro-Scale E. Holzbecher, S. Oehlmann Georg-August Univ. Göttingen *Goldschmidtstr. 3, 37077 Göttingen, GERMANY, eholzbe@gwdg.de Abstract: Phenomena of heat
More informationFracture-Matrix Flow Partitioning and Cross Flow: Numerical Modeling of Laboratory Fractured Core Flood
Fracture-Matrix Flow Partitioning and Cross Flow: Numerical Modeling of Laboratory Fractured Core Flood R. Sanaee *, G. F. Oluyemi, M. Hossain, and M. B. Oyeneyin Robert Gordon University *Corresponding
More informationComparative analysis of rock porosity in a selected region in the Carpathians based on laboratory data and well logs
Comparative analysis of rock porosity in a selected region in the Carpathians based on laboratory data and well logs Maciej Barnaś 1* and Edyta Puskarczyk 2 1 Mineral and Energy Economy Research Institute,
More informationStudies on flow through and around a porous permeable sphere: II. Heat Transfer
Studies on flow through and around a porous permeable sphere: II. Heat Transfer A. K. Jain and S. Basu 1 Department of Chemical Engineering Indian Institute of Technology Delhi New Delhi 110016, India
More informationNUMERICAL MODELING OF FLOW THROUGH DOMAINS WITH SIMPLE VEGETATION-LIKE OBSTACLES
XIX International Conference on Water Resources CMWR 2012 University of Illinois at Urbana-Champaign June 17-22,2012 NUMERICAL MODELING OF FLOW THROUGH DOMAINS WITH SIMPLE VEGETATION-LIKE OBSTACLES Steven
More informationMethodological aspects of porosity and pore space measurements in shale rocks
NAFTA-GAZ maj 2011 ROK LXVII Barbara Darłak, Małgorzata Kowalska-Włodarczyk, Piotr Such Oil & Gas Institute, Krakow Methodological aspects of and pore space measurements in shale rocks Introduction Porosity
More informationAccepted Manuscript. Image-based Micro-continuum Model for Gas Flow in Organic-Rich Shale Rock. Bo Guo, Lin Ma, Hamdi A. Tchelepi
Accepted Manuscript Image-based Micro-continuum Model for Gas Flow in Organic-Rich Shale Rock Bo Guo, Lin Ma, Hamdi A. Tchelepi PII: S0309-170818)30637-7 DOI: https://doi.org/10.1016/j.advwatres.2018.10.004
More informationApparent Permeability Model of Nanometer Pore in the Shale Reservoir
Apparent Permeability Model of Nanometer Pore in the Shale Reservoir Fengqiang Xu 1, a, Quan Zhang 1, b, Lingyan Niu 2, c, Xiaodong Wang 1, d 1 School of Energy Resources, China University of Geosciences,
More informationMODELING OF HEAT FLOW THROUGH MULTILAYER INTERNAL SUPPORTS OF CRYOGENIC VESSELS
WOJCIECH CZYŻYCKI * MODELING OF HEAT FLOW THROUGH MULTILAYER INTERNAL SUPPORTS OF CRYOGENIC VESSELS MODELOWANIE PRZEPŁYWU CIEPŁA PRZEZ WIELOWARSTWOWE PODPORY MIĘDZYPŁASZCZOWE W ZBIORNIKACH KRIOGENICZNYCH
More informationNovel Approaches for the Simulation of Unconventional Reservoirs Bicheng Yan*, John E. Killough*, Yuhe Wang*, Yang Cao*; Texas A&M University
SPE 168786 / URTeC 1581172 Novel Approaches for the Simulation of Unconventional Reservoirs Bicheng Yan*, John E. Killough*, Yuhe Wang*, Yang Cao*; Texas A&M University Copyright 2013, Unconventional Resources
More informationApparent Permeability Effective Stress Laws: Misleading Predictions Resulting from Gas Slippage, Northeastern British Columbia
Apparent Permeability Effective Stress Laws: Misleading Predictions Resulting from Gas Slippage, Northeastern British Columbia E.A. Letham, University of British Columbia, Vancouver, BC, ealetham@gmail.com
More informationThe Impact of Pore-Scale Flow Regimes on Upscaling of Immiscible Two-Phase Flow in Geothermal Reservoirs
PROCEEDINGS 43rd Workshop on Geothermal Reservoir Engineering Stanford University Stanford California February 12-14 2018 SGP-TR-213 The Impact of Pore-Scale Flow Regimes on Upscaling of Immiscible Two-Phase
More informationThis report shows the capabilities of Tdyn for modelling the fluid flow through porous media.
Flow through porous media 1 Flow through porous media Introduction This report shows the capabilities of Tdyn for modelling the fluid flow through porous media. Modelling approach Modeling of flows through
More informationPetrophysics. Theory and Practice of Measuring. Properties. Reservoir Rock and Fluid Transport. Fourth Edition. Djebbar Tiab. Donaldson. Erie C.
Petrophysics Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties Fourth Edition Djebbar Tiab Erie C. Donaldson ELSEVIER AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS
More information1 Modeling Immiscible Fluid Flow in Porous Media
Excerpts from the Habilitation Thesis of Peter Bastian. For references as well as the full text, see http://cox.iwr.uni-heidelberg.de/people/peter/pdf/bastian_habilitationthesis.pdf. Used with permission.
More informationFluid Mechanics Theory I
Fluid Mechanics Theory I Last Class: 1. Introduction 2. MicroTAS or Lab on a Chip 3. Microfluidics Length Scale 4. Fundamentals 5. Different Aspects of Microfluidcs Today s Contents: 1. Introduction to
More informationTHE EFFECT OF WATER SATURATION ON GAS SLIP FACTOR BY PORE SCALE NETWORK MODELING
SCA00-53 1/6 THE EFFECT OF WATER SATURATION ON GAS SLIP FACTOR BY PORE SCALE NETWORK MODELING Liu Qingjie, Liu Baohua, Li Xianbing, Yan Shouguo Research Institute of Petroleum Exploration and Development,
More informationModel of Gas Permeability Coefficient in Capture Hydrodynamics for Anisotropic Materials
Model of Gas Permeability Coefficient in Capture Hydrodynamics for Anisotropic Materials Grzegorz Wałowski* Department of Renewable Energy Resources, Branch in Poznan, Institute of Technology and Life
More informationCompressible Flow Through Porous Media with Application to Injection
Compressible Flow Through Porous Media with Application to Injection B. E. Schmidt Internal Report for Caltech Hypersonics Group FM 014.001 California Institute of Technology, 100 E California Blvd, Pasadena,
More informationPERFORMANCE OF A CYCLONE WITH AN ASLANT SHAPED INLET ANALIZA PRACY ODPYLACZA CYKLONOWEGO Z UKOŚNIE UKSZTAŁTOWANYM KANAŁEM WLOTOWYM
RYSZARD WÓJTOWICZ *, PAWEŁ WOLAK ** PERFORMANCE OF A CYCLONE WITH AN ASLANT SHAPED INLET ANALIZA PRACY ODPYLACZA CYKLONOWEGO Z UKOŚNIE UKSZTAŁTOWANYM KANAŁEM WLOTOWYM A b s t r a c t This paper presents
More informationComparison of the Effects of k-ϵ, k-ω, and Zero Equation Models on Characterization of Turbulent Permeability of Porous Media
Comparison of the Effects of k-ϵ, k-ω, and Zero Equation Models on Characterization of Turbulent Permeability of Porous Media Charlie Matsubara *, Tim Kuo, Helen Wu PIM Consulting, No. 16, Gonyequ 1 st
More informationChapter Seven. For ideal gases, the ideal gas law provides a precise relationship between density and pressure:
Chapter Seven Horizontal, steady-state flow of an ideal gas This case is presented for compressible gases, and their properties, especially density, vary appreciably with pressure. The conditions of the
More informationDarcy's Law. Laboratory 2 HWR 531/431
Darcy's Law Laboratory HWR 531/431-1 Introduction In 1856, Henry Darcy, a French hydraulic engineer, published a report in which he described a series of experiments he had performed in an attempt to quantify
More informationPermeability Prediction in Carbonate Reservoir Rock Using FZI
Iraqi Journal of Chemical and Petroleum Engineering Iraqi Journal of Chemical and Petroleum Engineering Vol.14 No.3 (September 2013) 49-54 ISSN: 1997-4884 University of Baghdad College of Engineering Permeability
More informationUse of Fractal Geometry for Determination of Pore Scale Rock Heterogeneity
Use of Fractal Geometry for Determination of Pore Scale Rock Heterogeneity Summary Dipak Mandal, DC Tewari, MS Rautela, TR Misra Institute of Reservoir Studies, ONGC, Chandkheda Campus, Ahmedabad Fractal
More informationPREDICTION OF INTRINSIC PERMEABILITIES WITH LATTICE BOLTZMANN METHOD
PREDICTION OF INTRINSIC PERMEABILITIES WITH LATTICE BOLTZMANN METHOD Luís Orlando Emerich dos Santos emerich@lmpt.ufsc.br Carlos Enrique Pico Ortiz capico@lmpt.ufsc.br Henrique Cesar de Gaspari henrique@lmpt.ufsc.br
More informationdynamics of f luids in porous media
dynamics of f luids in porous media Jacob Bear Department of Civil Engineering Technion Israel Institute of Technology, Haifa DOVER PUBLICATIONS, INC. New York Contents Preface xvii CHAPTER 1 Introduction
More informationThe role of a movable sandy-bed in modelling open-channel flow
18 ème Congrès Français de Mécanique Grenoble, 7-31 août 007 The role of a movable sandy-bed in modelling open-channel flow Herrera-Granados Oscar Wrocław University of Technology (WUT) Instytut Geotechniki
More informationS.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100
Total No. of Questions 12] [Total No. of Printed Pages 8 Seat No. [4262]-113 S.E. (Mech.) (First Sem.) EXAMINATION, 2012 (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum
More informationHeat and Fluid Flow of Gases in Porous Media with Micropores: Slip Flow Regime
16 Heat and Fluid Flow o Gases in Porous Media with Micropores: Slip Flow Regime Moghtada Mobedi, Murat Barisik, and A. Nakayama CONTENTS 16.1 Introduction...407 16. VAM Motion and Heat Transer Equations...409
More informationCONVECTION HEAT TRANSFER
CONVECTION HEAT TRANSFER THIRD EDITION Adrian Bejan J. A. Jones Professor of Mechanical Engineering Duke University Durham, North Carolina WILEY JOHN WILEY & SONS, INC. CONTENTS Preface Preface to the
More informationSCA : A STRUCTURAL MODEL TO PREDICT TRANSPORT PROPERTIES OF GRANULAR POROUS MEDIA Guy Chauveteau, IFP, Yuchun Kuang IFP and Marc Fleury, IFP
SCA2003-53: A STRUCTURAL MODEL TO PREDICT TRANSPORT PROPERTIES OF GRANULAR POROUS MEDIA Guy Chauveteau, IFP, Yuchun Kuang IFP and Marc Fleury, IFP This paper was prepared for presentation at the International
More informationCIEPLNE MASZYNY PRZEPŁYWOWE No. 115 TURBOMACHINERY 1999 NUMERICAL SIMULATION OF 3D FLOW THROUGH A CONTROL VALVE
CIEPLNE MASZYNY PRZEPŁYWOWE No. 115 TURBOMACHINERY 1999 Janusz BADUR, Mariusz BANASZKIEWICZ, Michał KARCZ Institute of Fluid-Flow Machinery PAS, Gdańsk Marian WINOWIECKI ABB Zamech Ltd, Elbląg NUMERICAL
More informationNumerical modelling of levee stability based on coupled mechanical, thermal and hydrogeological processes
Numerical modelling of levee stability based on coupled mechanical, thermal and hydrogeological processes Maciej Dwornik 1,a, Krzysztof Krawiec 2, Anna Franczyk 1 and A 1 1 AGH University of Science and
More informationHydraulic conductivity of granular materials
3 r d International Conference on New Developments in Soil Mechanics and Geotechnical Engineering, Hydraulic conductivity of granular materials Namir K.S.Al-Saoudi Building and construction Eng. Dept.
More informationSimulation of Thermal Fluid-structure Interaction Phenomena in a Liquid Sodium Porous System
Copyright 2014 Tech Science Press FDMP, vol.10, no.1, pp.63-81, 2014 Simulation of Thermal Fluid-structure Interaction Phenomena in a Liquid Sodium Porous System Yan Shen 1, Hong Zhang 1,2,3, Hui Xu 1,
More informationReservoir Petrophysics Introduction to Geology
Natural Gas Engineering Reservoir Petrophysics Introduction to Geology T.A. Blasingame, Texas A&M U. Department of Petroleum Engineering Texas A&M University College Station, TX 77843-3116 +1.979.845.2292
More informationPore-scale lattice Boltzmann simulations of inertial flows in realistic porous media: a first principle analysis of the Forchheimer relationship
Louisiana State University LSU Digital Commons LSU Master's Theses Graduate School 2011 Pore-scale lattice Boltzmann simulations of inertial flows in realistic porous media: a first principle analysis
More informationCorrection of source-rock permeability measurements owing to slip flow and Knudsen diffusion: a method and its evaluation
Petroleum Science (208) 5:6 25 https://doi.org/.07/s282-07-0200-3 (0456789().,-volV)(0456789().,-volV) ORIGINAL PAPER Correction of source-rock permeability measurements owing to slip flow and Knudsen
More informationNUMERICAL MODELING OF THE GAS-PARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP REGIME
Proceedings of the Asian Conference on Thermal Sciences 2017, 1st ACTS March 26-30, 2017, Jeju Island, Korea ACTS-P00394 NUMERICAL MODELING OF THE GAS-PARTICLE FLUID FLOW AND HEAT TRANSFER IN THE SLIP
More informationLecture 30 Review of Fluid Flow and Heat Transfer
Objectives In this lecture you will learn the following We shall summarise the principles used in fluid mechanics and heat transfer. It is assumed that the student has already been exposed to courses in
More informationUNIT I FLUID PROPERTIES AND STATICS
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : Fluid Mechanics (16CE106) Year & Sem: II-B.Tech & I-Sem Course & Branch:
More informationANALYSIS OF FLOW IN A CONCENTRIC ANNULUS USING FINITE ELEMENT METHOD
Nigerian Journal of Technology (NIJOTECH) Vol 35, No 2, April 2016, pp 344 348 Copyright Faculty of Engineering, University of Nigeria, Nsukka, Print ISSN: 0331-8443, Electronic ISSN: 2467-8821 wwwnijotechcom
More informationSimulation of Soot Filtration on the Nano-, Micro- and Meso-scale
Simulation of Soot Filtration on the Nano-, Micro- and Meso-scale L. Cheng 1, S. Rief 1, A. Wiegmann 1, J. Adler 2, L. Mammitzsch 2 and U. Petasch 2 1 Fraunhofer-Institut Techno- und Wirtschaftsmathematik,
More informationProject Description: MODELING FLOW IN VUGGY MEDIA. Todd Arbogast, Mathematics
Project Description: MODELING FLOW IN VUGGY MEDIA Todd Arbogast, Mathematics Steve Bryant, Petroleum & Geosystems Engineering Jim Jennings, Bureau of Economic Geology Charlie Kerans, Bureau of Economic
More informationModeling seismic wave propagation during fluid injection in a fractured network: Effects of pore fluid pressure on time-lapse seismic signatures
Modeling seismic wave propagation during fluid injection in a fractured network: Effects of pore fluid pressure on time-lapse seismic signatures ENRU LIU, SERAFEIM VLASTOS, and XIANG-YANG LI, Edinburgh
More informationEFFECT OF MICROFRACTURE ON ULTRATIGHT MATRIX PERMEABILITY
SCA2017-091 1 of 9 EFFECT OF MICROFRACTURE ON ULTRATIGHT MATRIX PERMEABILITY G. Leśniak, P. Such, R. Cicha-Szot Instytut Nafty i Gazu - Państwowy Instytut Badawczy, Kraków, Poland This paper was prepared
More informationThree-Dimensional Simulation of Mixing Flow in a Porous Medium with Heat and Mass Transfer in a Moisture Recovery System
12 th Fluid Dynamics Conference, Babol Noshirvani University of Technology, 28-30 April 2009 Three-Dimensional Simulation of Mixing Flow in a Porous Medium with Heat and Mass Transfer in a Moisture Recovery
More informationFigure 3: Problem 7. (a) 0.9 m (b) 1.8 m (c) 2.7 m (d) 3.6 m
1. For the manometer shown in figure 1, if the absolute pressure at point A is 1.013 10 5 Pa, the absolute pressure at point B is (ρ water =10 3 kg/m 3, ρ Hg =13.56 10 3 kg/m 3, ρ oil = 800kg/m 3 ): (a)
More informationFlow mechanisms and numerical simulation of gas production from shale reservoirs
Scholars' Mine Doctoral Dissertations Student Research & Creative Works 2015 Flow mechanisms and numerical simulation of gas production from shale reservoirs Chaohua Guo Follow this and additional works
More informationEvaluation of Flow Transmissibility of Rockfill Structures
Evaluation of Flow Transmissibility of Rockfill Structures Toshihiro MORII 1 and Takahiko TATEISHI 2 Abstract To predict the hydraulic conditions during and after the construction of such structures as
More informationCFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel
CFD Analysis of Forced Convection Flow and Heat Transfer in Semi-Circular Cross-Sectioned Micro-Channel *1 Hüseyin Kaya, 2 Kamil Arslan 1 Bartın University, Mechanical Engineering Department, Bartın, Turkey
More informationFluid Flow Fluid Flow and Permeability
and Permeability 215 Viscosity describes the shear stresses that develop in a flowing fluid. V z Stationary Fluid Velocity Profile x Shear stress in the fluid is proportional to the fluid velocity gradient.
More informationB.1 NAVIER STOKES EQUATION AND REYNOLDS NUMBER. = UL ν. Re = U ρ f L μ
APPENDIX B FLUID DYNAMICS This section is a brief introduction to fluid dynamics. Historically, a simplified concept of the boundary layer, the unstirred water layer, has been operationally used in the
More informationA Criterion for Non-Darcy Flow in Porous Media
Transport in Porous Media (2006) 63: 57 69 Springer 2006 DOI 10.1007/s11242-005-2720-3 A Criterion for Non-Darcy Flow in Porous Media ZHENGWEN ZENG and REID GRIGG Petroleum Recovery Research Center, New
More informationFIELD SCALE RESERVOIR SIMULATION THROUGH A LATTICE BOLTZMANN FRAMEWORK. A Dissertation ZACHARY ROSS BENAMRAM
FIELD SCALE RESERVOIR SIMULATION THROUGH A LATTICE BOLTZMANN FRAMEWORK A Dissertation by ZACHARY ROSS BENAMRAM Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial
More informationA COMPARATIVE STUDY OF SHALE PORE STRUCTURE ANALYSIS
SCA2017-092 1 of 9 A COMPARATIVE STUDY OF SHALE PORE STRUCTURE ANALYSIS R. Cicha-Szot, P. Budak, G. Leśniak, P. Such, Instytut Nafty i Gazu - Państwowy Instytut Badawczy, Kraków, Poland This paper was
More informationPore-Level Bénard Marangoni Convection in Microgravity
Pore-Level Bénard Marangoni Convection in Microgravity Peyman Mohammadmoradi, and Apostolos Kantzas * Chemical and Petroleum Engineering Department, University of Calgary *Corresponding author: 2500 University
More informationCONVECTION HEAT TRANSFER
CONVECTION HEAT TRANSFER SECOND EDITION Adrian Bejan J. A. Jones Professor of Mechanical Engineering Duke University Durham, North Carolina A WILEY-INTERSCIENCE PUBUCATION JOHN WILEY & SONS, INC. New York
More informationKOZENY-CARMAN EQUATION REVISITED. Jack Dvorkin Abstract
KOZENY-CARMAN EQUATION REVISITED Jack Dvorkin -- 009 Abstract The Kozeny-Carman equation is often presented as permeability versus porosity, grain size, and tortuosity. When it is used to estimate permeability
More information2. Governing Equations. 1. Introduction
Multiphysics Between Deep Geothermal Water Cycle, Surface Heat Exchanger Cycle and Geothermal Power Plant Cycle Li Wah Wong *,1, Guido Blöcher 1, Oliver Kastner 1, Günter Zimmermann 1 1 International Centre
More informationractical Geomechanics for Unconventional Resources
P ractical Geomechanics for Unconventional Resources 24-26 October 2012, Calgary, Canada Practical Geomechanics for Unconventional Resources Nowadays, unconventional resources have been brought into the
More informationImpact of the loading stress variations on transport properties of granular packs
ARMA 14-6962 Impact of the loading stress variations on transport properties of granular packs Takbiri Borujeni, A. West Virginia University, Morgantown, WV, USA Tyagi, M. Louisiana State University, Baton
More informationNumerical and Analytical Study of Exhaust Gases Flow in Porous Media with Applications to Diesel Particulate Filters
American J. of Engineering and Applied Sciences (1): 70-75, 009 ISSN 1941-700 009 Science ublications Numerical and Analytical Study of Exhaust Gases Flow in orous Media with Applications to Diesel articulate
More informationIn situ permeability measurements inside compaction bands using X-ray CT and lattice Boltzmann calculations
Permeability measurements inside compaction bands In situ permeability measurements inside compaction bands using X-ray CT and lattice Boltzmann calculations N. Lenoir, J.E. Andrade, W.C. Sun, J.W. Rudnicki
More informationIDENTIFICATION OF POTENTIAL FAILURES OF THE TEST STAND FOR TESTING HYDRAULIC PUMPS USING FMEA METHOD
JOANNA FABI IDENTIFICATION OF POTENTIAL FAILURES OF THE TEST STAND FOR TESTING HYDRAULIC PUMPS USING FMEA METHOD WYKRYWANIE POTENCJALNYCH WAD DLA STANOWISKA DO BADANIA POMP HYDRAULICZNYCH METOD FMEA A
More informationTom BLASINGAME Texas A&M U. Slide 1
Petroleum Engineering 620 Fluid Flow in Petroleum Reservoirs Petrophysics Lecture 1 Introduction to Porosity and Permeability Concepts Tom BLASINGAME t-blasingame@tamu.edu Texas A&M U. Slide 1 From: Jorden,
More informationThe effect of CO 2 -fluid-rock interactions on the porosity and permeability of calcite-bearing sandstone
The effect of CO 2 -fluid-rock interactions on the porosity and permeability of calcite-bearing sandstone Benoit Lamy-Chappuis, Bruce Yardley, Carlos Grattoni School of Earth and Environment, University
More informationPros and Cons against Reasonable Development of Unconventional Energy Resources
Pros and Cons against Reasonable Development of Unconventional Energy Resources Associate Professor Shteryo LYOMOV, Ph.D. Presentation outline Energy resources; Conventional and Unconventional energy resources;
More informationIntroduction to Aspects of Multiscale Modeling as Applied to Porous Media
Introduction to Aspects of Multiscale Modeling as Applied to Porous Media Part II Todd Arbogast Department of Mathematics and Center for Subsurface Modeling, Institute for Computational Engineering and
More informationNUCLEAR MAGNETIC RESONANCE (NMR) AND MERCURY POROSIMETRY MEASUREMENTS FOR PERMEABILITY DETERMINATION
Scientific Annals, School of Geology, Aristotle University of Thessaloniki Proceedings of the XIX CBGA Congress, Thessaloniki, Greece Special volume 99 371-376 Thessaloniki 2010 NUCLEAR MAGNETIC RESONANCE
More informationTypes of reservoir fluids in the Polish Lower Paleozoic shale formations
NAFTA-GAZ, ROK LXXI, Nr 8 / 2015 Jan Lubaś, Marcin Warnecki, Sławomir Szuflita Oil and Gas Institute National Research Institute Types of reservoir fluids in the Polish Lower Paleozoic shale formations
More informationA Multi-Continuum Multi-Component Model for Simultaneous Enhanced Gas Recovery and CO 2 Storage in Stimulated Fractured Shale Gas Reservoirs Jiamin
A Multi-Continuum Multi-Component Model for Simultaneous Enhanced Gas Recovery and CO 2 Storage in Stimulated Fractured Shale Gas Reservoirs Jiamin Jiang M.S. Candidate Joined Fall 2013 1 Main Points Advanced
More informationMicro-scale modelling of internally
Micro-scale modelling of internally unstable soils Dr Tom Shire School of Engineering, University of Glasgow 1 st September 2017 Outline Internal instability Micro-scale modelling Hydromechanical criteria
More informationAnalysis of the Cooling Design in Electrical Transformer
Analysis of the Cooling Design in Electrical Transformer Joel de Almeida Mendes E-mail: joeldealmeidamendes@hotmail.com Abstract This work presents the application of a CFD code Fluent to simulate the
More informationROLE OF PORE-SCALE HETEROGENEITY ON REACTIVE FLOWS IN POROUS MATERIALS: VALIDITY OF THE CONTINUUM REPRESENTATION OF REACTIVE TRANSPORT
ROLE OF PORE-SCALE HETEROGENEITY ON REACTIVE FLOWS IN POROUS MATERIALS: VALIDITY OF THE CONTINUUM REPRESENTATION OF REACTIVE TRANSPORT PETER C. LICHTNER 1, QINJUN KANG 1 1 Los Alamos National Laboratory,
More informationPORE-SCALE PHASE FIELD MODEL OF TWO-PHASE FLOW IN POROUS MEDIUM
Excerpt from the Proceedings of the COMSOL Conference 2010 Paris PORE-SCALE PHASE FIELD MODEL OF TWO-PHASE FLOW IN POROUS MEDIUM Igor Bogdanov 1*, Sylvain Jardel 1, Anis Turki 1, Arjan Kamp 1 1 Open &
More information