Numerical Simulation Of Pore Scale Heterogeneity And Its Effects On Elastic Electrical And Transport Properties
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Numerical Simulation Of Pore Scale Heterogeneity And Its Effects On Elastic Electrical And Transport Properties
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Author : Ratnanabha Sain
language : en
Publisher: Stanford University
Release Date : 2010
Numerical Simulation Of Pore Scale Heterogeneity And Its Effects On Elastic Electrical And Transport Properties written by Ratnanabha Sain and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
This dissertation describes numerical experiments quantifying the influence of pore-scale heterogeneities and their evolution on macroscopic elastic, electrical and transport properties of porous media. We design, implement and test a computational recipe to construct granular packs and consolidated microstructures replicating geological processes and to estimate the link between process-to-property trends. This computational recipe includes five constructors: a Granular Dynamics (GD) simulation, an Event Driven Molecular Dynamics (EDMD) simulation and three computational diagenetic schemes; and four property estimators based on GD for elastic, finite-elements (FE) for elastic and electrical conductivity, and Lattice-Boltzmann method (LBM) for flow property simulations. Our implementation of GD simulation is capable of constructing realistic, frictional, jammed sphere packs under isotropic and uniaxial stress states. The link between microstructural properties in these packs, like porosity and coordination number (average number of contacts per grain), and stress states (due to compaction) is non-unique and depends on assemblage process and inter-granular friction. Stable jammed packs having similar internal stress and coordination number (CN) can exist at a range of porosities (38-42%) based on how fast they are assembled or compressed. Similarly, lower inter-grain friction during assemblage creates packs with higher coordination number and lower porosity at the same stress. Further, the heterogeneities in coordination number, spatial arrangement of contacts, the contact forces and internal stresses evolve with compaction non-linearly. These pore-scale heterogeneities impact effective elastic moduli, calculated by using infinitesimal perturbation method. Simulated stress-strain relationships and pressure-dependent elastic moduli for random granular packs show excellent match with laboratory experiments, unlike theoretical models based on Effective Medium Theory (EMT). We elaborately discuss the reasons why Effective Medium Theory (EMT) fails to correctly predict pressure-dependent elastic moduli, stress-strain relationships and stress-ratios (in uniaxial compaction) of granular packs or unconsolidated sediments. We specifically show that the unrealistic assumption of homogeneity in disordered packs and subsequent use of continuum elasticity-based homogeneous strain theory creates non-physical packs, which is why EMT fails. In the absence of a rigorous theory which can quantitatively account for heterogeneity in random granular packs, we propose relaxation corrections to amend EMT elastic moduli predictions. These pressure-dependent and compaction-dependent (isotropic or uniaxial) correction factors are rigorously estimated using GD simulation without non-physical approximations. Further, these correction factors heuristically represent the pressure-dependent heterogeneity and are also applicable for amending predictions of theoretical cementation models, which are conventionally used for granular packs. For predicting stress-ratios in uniaxial compaction scenario, we show the inappropriateness of linear elasticity-based equations, which use elastic constants only and do not account for dissipative losses like grain sliding. We further implement and test a computational recipe to construct consolidated microstructures based on different geological scenarios, like sorting, compaction, cementation types and cement materials. Our diagenetic trends of elastic, electrical and transport properties show excellent match with laboratory experiments on core plugs. This shows the feasibility of implementing a full-scale computational-rock-physics-based laboratory to construct and estimate properties based on geological processes. However, the elastic property estimator (FE simulation) shows limitations of finite resolution while computing elastic properties of unconsolidated sediments and fluid-saturated microstructures.
Numerical Simulation Of Pore Scale Heterogeneity And Its Effects On Elastic Electrical And Transport Properties
DOWNLOAD
Author : Ratnanabha Sain
language : en
Publisher:
Release Date : 2010
Numerical Simulation Of Pore Scale Heterogeneity And Its Effects On Elastic Electrical And Transport Properties written by Ratnanabha Sain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
This dissertation describes numerical experiments quantifying the influence of pore-scale heterogeneities and their evolution on macroscopic elastic, electrical and transport properties of porous media. We design, implement and test a computational recipe to construct granular packs and consolidated microstructures replicating geological processes and to estimate the link between process-to-property trends. This computational recipe includes five constructors: a Granular Dynamics (GD) simulation, an Event Driven Molecular Dynamics (EDMD) simulation and three computational diagenetic schemes; and four property estimators based on GD for elastic, finite-elements (FE) for elastic and electrical conductivity, and Lattice-Boltzmann method (LBM) for flow property simulations. Our implementation of GD simulation is capable of constructing realistic, frictional, jammed sphere packs under isotropic and uniaxial stress states. The link between microstructural properties in these packs, like porosity and coordination number (average number of contacts per grain), and stress states (due to compaction) is non-unique and depends on assemblage process and inter-granular friction. Stable jammed packs having similar internal stress and coordination number (CN) can exist at a range of porosities (38-42%) based on how fast they are assembled or compressed. Similarly, lower inter-grain friction during assemblage creates packs with higher coordination number and lower porosity at the same stress. Further, the heterogeneities in coordination number, spatial arrangement of contacts, the contact forces and internal stresses evolve with compaction non-linearly. These pore-scale heterogeneities impact effective elastic moduli, calculated by using infinitesimal perturbation method. Simulated stress-strain relationships and pressure-dependent elastic moduli for random granular packs show excellent match with laboratory experiments, unlike theoretical models based on Effective Medium Theory (EMT). We elaborately discuss the reasons why Effective Medium Theory (EMT) fails to correctly predict pressure-dependent elastic moduli, stress-strain relationships and stress-ratios (in uniaxial compaction) of granular packs or unconsolidated sediments. We specifically show that the unrealistic assumption of homogeneity in disordered packs and subsequent use of continuum elasticity-based homogeneous strain theory creates non-physical packs, which is why EMT fails. In the absence of a rigorous theory which can quantitatively account for heterogeneity in random granular packs, we propose relaxation corrections to amend EMT elastic moduli predictions. These pressure-dependent and compaction-dependent (isotropic or uniaxial) correction factors are rigorously estimated using GD simulation without non-physical approximations. Further, these correction factors heuristically represent the pressure-dependent heterogeneity and are also applicable for amending predictions of theoretical cementation models, which are conventionally used for granular packs. For predicting stress-ratios in uniaxial compaction scenario, we show the inappropriateness of linear elasticity-based equations, which use elastic constants only and do not account for dissipative losses like grain sliding. We further implement and test a computational recipe to construct consolidated microstructures based on different geological scenarios, like sorting, compaction, cementation types and cement materials. Our diagenetic trends of elastic, electrical and transport properties show excellent match with laboratory experiments on core plugs. This shows the feasibility of implementing a full-scale computational-rock-physics-based laboratory to construct and estimate properties based on geological processes. However, the elastic property estimator (FE simulation) shows limitations of finite resolution while computing elastic properties of unconsolidated sediments and fluid-saturated microstructures.
The Rock Physics Handbook
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Author : Gary Mavko
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-09
The Rock Physics Handbook written by Gary Mavko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-09 with Business & Economics categories.
Brings together widely scattered theoretical and laboratory rock physics relations critical for modelling and interpretation of geophysical data.
Current Trends And Future Developments On Bio Membranes
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Author : Angelo Basile
language : en
Publisher: Elsevier
Release Date : 2023-09-14
Current Trends And Future Developments On Bio Membranes written by Angelo Basile and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Technology & Engineering categories.
Current Trends and Future Developments on (Bio-) Membranes: Recent Achievements for Ion-Exchange Membranes focuses on introducing and analyzing ion-exchange membranes performance and overviewing recent achievements in the structural development of ion-exchange membranes in various applications. Hence, this book is a key reference text for R&D managers in who are interested in the development of ion-exchange membrane technologies as well as academic researchers and postgraduate students working in the wider area of strategic treatments, separation and purification processes. - Reviews the ion exchange membranes, including fundamentals and processes - Provides thorough coverage of transport aspects and fundamentals of various ion-exchange membranes systems, such as fuel cells, electrodialysis, and more - Describes the two main categories of ion exchange membranes, inorganic and organic - Covers numerous new applications of ion exchange membranes
Petroleum Abstracts Literature And Patents
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Author :
language : en
Publisher:
Release Date : 1989
Petroleum Abstracts Literature And Patents written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Petroleum categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1993
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mechanics, Applied categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 1999
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Dissertations, Academic categories.
Petroleum Abstracts
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Author :
language : en
Publisher:
Release Date : 1991
Petroleum Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Petroleum categories.
International Aerospace Abstracts
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Author :
language : en
Publisher:
Release Date : 1998
International Aerospace Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Aeronautics categories.
Comprehensive Dissertation Index 1861 1972 Engineering Civil Electrical And Industrial
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Author : Xerox University Microfilms
language : en
Publisher:
Release Date : 1973
Comprehensive Dissertation Index 1861 1972 Engineering Civil Electrical And Industrial written by Xerox University Microfilms and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Dissertations, Academic categories.