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    Scaling for Breakthrough Estimation in Anisotropic Reservoirs Using Percolation Theory Concepts

    , M.Sc. Thesis Sharif University of Technology Shokri, Amir Reza (Author) ; Masihi, Mohsen (Supervisor)
    Abstract
    The most common method of oil recovery is by displacement. By injecting water into wells, to push the oil to production wells, ultimately, the injected fluid breaks through at the production wells. Estimation of breakthrough time is important for the reservoir engineering calculation and the prediction of enhance recovery scenarios. Oil reservoirs are extremely complex, containing geological heterogeneities on all length scales which have a significant impact on hydrocarbon recovery. The conventional approach to investigate the reservoir performance is to build a detailed geological model, upscale it, and finally run flow simulation which is computationally very expensive. In... 

    Dependency of Percolation Sub-networks (Backbone, Dangling-end) Variation on Rock Properties and Well Spacing

    , M.Sc. Thesis Sharif University of Technology Karami, Karim (Author) ; Masihi, Mohsen (Supervisor)
    Abstract
    Water flooding is one of the improved oil recovery methods that has been used for past decades. The water flooding efficiency is calculated in two different scale; macroscopic scale and microscopic scale. The efficiency in macroscopic scale is called volume sweep efficiency (Ev) and in microscopic scale, displacement sweep efficiency (Ed). A special type of hydrocarbon reservoirs are composed of several permeable units in an impermeable shaley background in a way that hydrocarbon can just flow through the permeable units. The predominant feature of such reservoirs is continuity of permeable units that affecting the flow behavior. This simplification enables us to model such reservoirs by... 

    Estimating the connected volume of hydrocarbon during early reservoir life by percolation theory

    , Article Energy Sources, Part A: Recovery, Utilization and Environmental Effects ; Vol. 36, issue. 3 , Nov , 2014 , p. 301-308 ; ISSN: 15567036 Sadeghnejad, S ; Masihi, M ; Pishvaie, M ; Shojaei, A ; King, P. R ; Sharif University of Technology
    Abstract
    The petroleum industry tends to paint an optimistic picture with respect to future petroleum availability. In order to anticipate demand, the size of connected volume of hydrocarbon of fields needs to be known. During the early stage of life of a reservoir, due to the lake of certain data, connected volume of hydrocarbon is usually based on analogues or rules of thumb and not detailed reservoir modeling. Therefore, there is a great incentive to produce physically-based methodologies to make an estimation of connected volume of hydrocarbon. Percolation theory is used to estimate the connected volume of hydrocarbon very fast. Furthermore, the result has been validated against areal field... 

    Investigating the Dispersion Phenomenon in Fluid Flow through Porous Media Using Percolation Theory

    , M.Sc. Thesis Sharif University of Technology Keybondorian, Ebrahim (Author) ; Masihi, Mohsen (Supervisor) ; Ganjeh Ghazvini, Mostafa (Co-Advisor)
    Abstract
    Many processes in the petroleum engineering industry involve particle transport in oil and gas reservoirs including sand production, fines migration, and nanoparticle injection. In these processes it is important to understand where the particles are travelling in the reservoir and the impact that they have on the formation properties. Large particles can damage the formation and decrease permeability which reduces the productive capacity of the reservoir. During nanoparticle injection, forces at the pore level can cause retention of particles and prevent their recovery. In addition, due to the heterogeneity of typical reservoirs, it is difficult to predict how particles will spread across... 

    Estimation of Reservoir Performance Parameters Using Percolation Approach

    , Ph.D. Dissertation Sharif University of Technology Sadeghnejad Limouei, Saeeid (Author) ; Masihi, Mohsen (Supervisor) ; Shojaei, Ali Akbar (Supervisor) ; Pishvaie, Mahmoud Reza (Co-Advisor) ; Rabert King, Peter (Co-Advisor)
    Abstract
    The conventional approach to investigate the reservoir performance is to build a detailed geological model, upscale it, and finally run flow simulation which is computationally very expensive. In addition, during the early stage of life of a reservoir, due to the lake of certain data, this method is usually based on analogues or rules of thumb and not detailed reservoir modelling. Therefore, there is a great incentive to produce much simpler physically-based methodologies. The main focus of this thesis is to use percolation approach to estimate the uncertainty in the reservoir properties. This method considers a hypothesis that the reservoir can be split into either permeable (i.e.... 

    Investigating the Dynamic behavior of Fracture Networks using Percolation Theory

    , M.Sc. Thesis Sharif University of Technology Barati, Hossein (Author) ; Masihi, Mohsen (Supervisor) ; Jamshidi, Saeed (Supervisor)
    Abstract
    Most of petroleum reservoirs of Iran are fractured reservoirs which has different properties, geometrical structure and drive mechanism in comparison with conventional reservoirs. The major difference is the existence of interaction between fractures and matrix respectively with a high and very low permeable (or imperable) medi. One simulation method for these fractures is discrete fracture network (DFN) modeling which is used in this study to investigate dynamic properties of these fractures. In this study, matrix is assumed as an impermeable media then dynamic properties like effective permeability of fracture network for different realization reservoirs are calculated and and evaluated by... 

    Effective Permeability of Isotropic Overlapping Sandbodies in 2D Using Percolation Theory

    , M.Sc. Thesis Sharif University of Technology Fatemi, Amin (Author) ; Masihi, Mohsen (Supervisor)
    Abstract
    Permeability is an essential parameter used for reservoir evaluation, simulation and management to optimize oil recovery. The conventional approach to estimate reservoir connectivity, conductivity, sweep efficiency and other critical information for decision-making is to build detailed geological models, which are then upscaled to a coarser grid where flow simulations are run. However, this takes many hours to be carried out even for a single realization practically. In practice, a very small number of realizations are considered and consequently the true uncertainty in the results is very poorly estimated. In this study, a statistical model of isotropic overlying sandbodies is used to... 

    Continuum Scaling Limit of Critical Percolation

    , M.Sc. Thesis Sharif University of Technology Ghodratipour, Nahid (Author) ; Alishahi, Kasra (Supervisor) ; Rouhani, Shahin (Supervisor)
    Abstract
    Percolation is a simple probabilistic model which exhibits a phase transition. Here, we study this critical model from properties of random curves which in the scaling limit, appear as features seen on the macroscopic scale, in situations where the microscopic scale is taken to zero. Among the principal questions are the construction of the scaling limit, and the discription of some of the emergent properties, in particular the behavior under conformal maps Over the past few years, SLE has been developed as a valuable new tool to study the random paths of the scaling limit of two-dimensional critical models, and it is believed that SLE is the conformally invariant scaling limit of these... 

    Effect of anisotropy on the scaling of connectivity and conductivity in continuum percolation theory

    , Article Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 81, Issue 6 , June , 2010 ; 15393755 (ISSN) Sadeghnejad, S ; Masihi, M ; King, P. R ; Shojaei, A ; Pishvaei, M ; Sharif University of Technology
    2010
    Abstract
    We investigate the effects of anisotropy on the finite-size scaling of connectivity and conductivity of continuum percolation in three dimensions. We consider a system of size X×Y×Z in which cubic bodies of size a×b×c are placed randomly. We define two aspect ratios to request anisotropy then we expect that the displacement of average connected fraction P (averaged over the realizations), about the isotropic universal curves will be a function of the two aspect ratios. This is accounted by considering an apparent percolation threshold in each direction which leads to 50% of realizations connecting in that direction. We find the aspect ratios' dependency of the apparent threshold and... 

    Field scale characterization of geological formations using percolation theory

    , Article Transport in Porous Media ; Volume 92, Issue 2 , 2012 , Pages 357-372 ; 01693913 (ISSN) Sadeghnejad, S ; Masihi, M ; Shojaei, A ; Pishvaie, M ; King, P. R ; Sharif University of Technology
    2012
    Abstract
    The connectivity of high conductivity pathways in geological formations depend on the spatial distribution of geological heterogeneities that may appear on various length scales. Appropriate modeling of this is crucial within in hydrology and petroleum systems. The approach taken in this study is to use percolation theory to quantify the connectivity, hydraulic conductivity, and breakthrough time behavior between an injector and a producer within such systems. In particular, a three-dimensional overlapping sandbody model is considered which assumes that the geological formation can be split into either conductive flow units (i. e., good sands) or non-conductive units (i. e., poor sands). The... 

    Improvement of Extracted pore-throat Network Model from CT Scan Images Using Percolation Concepts

    , M.Sc. Thesis Sharif University of Technology Barzegar, Farzad (Author) ; Masihi, Mohsen (Supervisor) ; Jamshidi, Saeed (Supervisor)
    Abstract
    The static and dynamic properties of a porous medium are highly dependent on its internal geometry. CT scan images are used to obtain porous media geometry. These images are not directly suitable for computational purpose. Because these images are not easy computable, the pore-throat network models are used to geometrical conversation. Extracting these models from CT scans is done using statistical-probabilistic methods based on image processing. In this study, new methods for extracting the 3D pore network model from 2D/3D CT scan images and pore connection detection are presented. In this method, the geometric static parameters of the rock, including the porosity, the porosity-based... 

    Investigating the Appropriate Decline Curve Model for Heterogeneous Reservoirs

    , M.Sc. Thesis Sharif University of Technology Pourali, Omid (Author) ; Masihi, Mohsen (Supervisor)
    Abstract
    In this research oil production decline curve of heterogonous reservoirs was investigated. Heterogeneity is modeled by percolation theory and using Petrel software and mass balance equations are solved by Eclipse simulation software. In primary production stage which oil flows up the reservoir spontaneously by reservoir high internal pressure, decline curve is exponential. Changes in the characteristic parameter of the exponential decline curve with occupation probability and permeable objects size were investigated.In secondary production stage, after reducing the natural production potential of the reservoir, water injection is used to increase and stabilize the pressure and increase the... 

    Prediction of Breakthrough and Oil Production in Secondary Recovery Process using Percolation Concepts

    , Ph.D. Dissertation Sharif University of Technology Shokrollahzadeh Behbahani, Sara (Author) ; Masihi, Mohsen (Supervisor) ; Ghazanfari, Mohammad Hossein (Supervisor)
    Abstract
    Determining the time of breakthrough of injected water is important when assessing waterflood in an oil reservoir. Breakthrough time distribution for a passive tracer (for example water) in percolation porous media (near the percolation threshold) gives insights into the dynamic behavior of flow in geometrically complex systems. However, the application of such distribution to realistic two-phase displacements can be done based on scaling of all parameters. Here, we propose two new approaches for scaling of breakthrough time (characteristic times) in two-dimensional flow through percolation porous media. The first is based on the flow geometry, and the second uses the flow parameters of a... 

    Improving the Stability of an Urban Traffic Network with Limited Data by Using Percolation Theory and Dynamic Clustering

    , M.Sc. Thesis Sharif University of Technology Hassanzadeh, Ehsan (Author) ; Amini, Zahra (Supervisor)
    Abstract
    One of the most vital aspects of understanding the traffic phenomenon is scrutinizing the traffic transition status, such as the transition from free flow to congestion. The Percolation Theory is a renowned theory focusing on analyzing various network types to detect the critical zones, which are the zones including links that are important to control to improve stability. By calculating the quality indices of network links, the Percolation Theory can simulate the traffic percolation propagation in the network and determine possible critical zones for further analysis. Most studies in this field assume access to data of several traffic parameters for the entire transportation network, such... 

    Rock Type Connectivity Estimation Using Percolation Theory

    , Article Mathematical Geosciences ; Vol. 45, issue. 3 , April , 2013 , p. 321-340 ; ISSN: 18748961 Sadeghnejad, S ; Masihi, M ; Pishvaie, M ; King, P. R ; Sharif University of Technology
    Abstract
    Complicated sedimentary processes control the spatial distribution of geological heterogeneities. This serves to make the nature of the fluid flow in the hydrocarbon reservoirs immensely complex. Proper modeling of these heterogeneities and evaluation of their connectivity are crucial and affects all aspects of fluid flow. Since the natural variability of heterogeneity occurs in a myriad of length scales, accurate modeling of the rock type connectivity requires a very fine scheme, which is computationally very expensive. Hence, this makes other alternative methods such as the percolation approach attractive and necessary. The percolation approach considers the hypothesis that a reservoir can... 

    Field Scale Characterization of Geological Formations Using Percolation Theory

    , Article Transport in Porous Media ; Vol. 92, issue. 2 , March , 2012 , p. 357-372 ; ISSN: 1693913 Sadeghnejad, S ; Masihi, M ; Shojaei, A ; Pishvaie, M ; King, P. R ; Sharif University of Technology
    Abstract
    The connectivity of high conductivity pathways in geological formations depend on the spatial distribution of geological heterogeneities that may appear on various length scales. Appropriate modeling of this is crucial within in hydrology and petroleum systems. The approach taken in this study is to use percolation theory to quantify the connectivity, hydraulic conductivity, and breakthrough time behavior between an injector and a producer within such systems. In particular, a three-dimensional overlapping sandbody model is considered which assumes that the geological formation can be split into either conductive flow units (i. e., good sands) or non-conductive units (i. e., poor sands). The... 

    Utilization of percolation theory to evaluate conductivity of fractured reservoirs - Effect of fracture correlation length on universality

    , Article 72nd European Association of Geoscientists and Engineers Conference and Exhibition 2010: A New Spring for Geoscience. Incorporating SPE EUROPEC 2010 ; Vol. 6, issue , 2010 , p. 4286-4290 Ghorbani, S ; Masihi, M ; Hashemi, A ; Sharif University of Technology
    Abstract
    The knowledge of the conductivity across the reservoir that is based on the swept fraction controls the recoverable rates of the hydrocarbon in the secondary displacement processes. Most of the time, we need a fast estimation of the conductivity for decision making during field development. Percolation theory is a very useful tool to get this goal. According to this fact that the results of this method are universal, they could be used widely. In this study connectivity and conductivity percolation models are developed and the universal exponents for connectivity and conductivity in fractured reservoir as well as their dependency on the correlation length are investigated. For L< ξ the... 

    Dependency of percolation critical exponents on the exponent of power law size distribution

    , Article Physica A: Statistical Mechanics and its Applications ; Volume 392, Issue 24 , 2013 , Pages 6189-6197 ; ISSN: 03784371 Sadeghnejad, S ; Masihi, M ; King, P. R ; Sharif University of Technology
    2013
    Abstract
    The standard percolation theory uses objects of the same size. Moreover, it has long been observed that the percolation properties of the systems with a finite distribution of sizes are controlled by an effective size and consequently, the universality of the percolation theory is still valid. In this study, the effect of power law size distribution on the critical exponents of the percolation theory of the two dimensional models is investigated. Two different object shapes i.e., stick-shaped and square are considered. These two shapes are the representative of the fractures in fracture reservoirs and the sandbodies in clastic reservoirs. The finite size scaling arguments are used for the... 

    Utilization of percolation theory to evaluate conductivity of fractured reservoirs - Effect of fracture correlation length on universality

    , Article 72nd European Association of Geoscientists and Engineers Conference and Exhibition 2010: A New Spring for Geoscience. Incorporating SPE EUROPEC 2010 ; Volume 6 , 2010 , Pages 4286-4290 ; 9781617386671 (ISBN) Ghorbani, S ; Masihi, M ; Hashemi, A ; Sharif University of Technology
    Society of Petroleum Engineers 
    Abstract
    The knowledge of the conductivity across the reservoir that is based on the swept fraction controls the recoverable rates of the hydrocarbon in the secondary displacement processes. Most of the time, we need a fast estimation of the conductivity for decision making during field development. Percolation theory is a very useful tool to get this goal. According to this fact that the results of this method are universal, they could be used widely. In this study connectivity and conductivity percolation models are developed and the universal exponents for connectivity and conductivity in fractured reservoir as well as their dependency on the correlation length are investigated. For L< ξ the... 

    Point-to-point connectivity prediction in porous media using percolation theory

    , Article Physica A: Statistical Mechanics and its Applications ; Volume 460 , 2016 , Pages 304-313 ; 03784371 (ISSN) Tavagh Mohammadi, B ; Masihi, M ; Ganjeh Ghazvini, M ; Sharif University of Technology
    Elsevier 
    Abstract
    The connectivity between two points in porous media is important for evaluating hydrocarbon recovery in underground reservoirs or toxic migration in waste disposal. For example, the connectivity between a producer and an injector in a hydrocarbon reservoir impact the fluid dispersion throughout the system. The conventional approach, flow simulation, is computationally very expensive and time consuming. Alternative method employs percolation theory. Classical percolation approach investigates the connectivity between two lines (representing the wells) in 2D cross sectional models whereas we look for the connectivity between two points (representing the wells) in 2D aerial models. In this...