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Mohamad Ahmady
  Courses 

 Advanced Engineering Mathematics(FALL_2017)

Aims:

Introduction to various numerical and analytical methods applicable to problems encountered in petroleum engineering

Syllabus:

  • Finite Element Techniques for solving PDEs
  • Boundary Value Variational Formulation for PDEs
  • Mixed Finite Element Method for solving PDEs related to Fluid Flow in Porous Media
  • Streamline simulation applied for fluid flow in porous media
  • Fundamental of Unconstrained and Constrained Optimization Theory for Engineering Problems
  • Linear Programming Algorithms for Optimization
  • Quadratic Programming for Optimizing Engineering Problems
  • Upscaling, Multi-Scale Mixed Finite Element and Multi-Scale Finite Volume Methods for solving multiscale-multi-resolution phenomena of flow
  • Fourier Transformation Methods and Applications in Petroleum Engineering
  • Wavelet Transformation with Applications in Modelling and Characterization of Petroleum Reservoirs

Text Book:

  • Practical Optimization: Algorithms and Engineering Applications by Andreas Antoniou , Wu-Sheng Lu
  • Finite Element Methods and Their Applications by Zhangxin Chen
  • Numerical Methods by Burden and Fairs
  • Applied Mathematics in Petroleum Reservoir Engineering, Course notes of Stanford University by Rosinald Archer


 Advanced Reservoir Engineering(FALL_2017)

Aims:

Study of Reservoir Engineering tools and the Application of Different approaches for Evaluation, Characterization and Modeling of Hydrocarbon Reservoirs

Syllabus:

  • Study of Uncertainty Quantification approaches for Estimation and Evaluation of hydrocarbon Reserves and the production performance
  • Review of General Material Balance Equation for Different Reservoir Types Based on the Production Mechanisms Involved
  • Development and the Applications of Modified Material Balance Equations (Time-dependent and Graphical) for production history matching and determination of Dominant Production Mechanisms, Reservoir and Aquifer Characterization
  • Study and the Applications of time dependent MBE for forecasting the production performance of reservoir (flowing and static pressures and flow-rates)
  • Study and the Applications of the Advanced Models Describing the Water Influx and the Models for Water Coning
  • Decline Curve Analysis for Prediction of the Reservoir Abandonment Time and the corresponding Ultimate Recovery
  • The Applications of Rate Transient Analysis for Reservoir Characterization Based on the the production data for a Long History
  • Development of the more General Solutions of Diffusivity Equation for Constant Pressure and Variable Rate B.C. for Analyzing the real Production History of the Wells
  • Study and the Applications of Formation Testing Methods for Determination of Contact Surfaces, Effect of Production and the Hydraulic Discontinuity between Reservoir Layers
  • Methods for Analyzing the time-dependent data in Formation Testing for Determination of Vertical/Horizontal Permeability variation versus Depth and QC of Test Points Based on Pressure Derivative Plots
  • Methods for Analysis and Interpretation of Production Logs and their Applications in Reservoir Engineering Decision Making
  • Volumetric Calculations and the time-dependent MBE for determination of Production Performance of Gas Condensate Reservoirs
  • Time Dependent Volumetric Calculations and Material Balance Analysis Assisted by IPR method to predict Gas Condensate Reservoir Performance

Text Book:

  • Advanced Reservoir Engineering, 1st Edition, Ahmed, PhD, PE & McKinney
  • Wireline Formation Testing and Well Deliverability, by George Stewart
  • The Practice of Reservoir Engineering (Revised Edition), 1st Edition from L.P. Dake


 Applied Mathematics in Petroleum Engineering(FALL_2017)

Aims:

Explanation of Analytical Methods to Solve Partial Differential Equations in Petroleum Engineering and Mathematical Modeling of Flow Phenomena in Petroleum Engineering-related Problems

Syllabus:

  • Formulation and Modeling in Petroleum Engineering
  • Properties of Laplace Transformation and its Applications for solution of PDEs in Petroleum Engineering
  • Numerical Inversion of Laplace Transforms
  • Properties and Concepts of Fourier Series, Fourier Integrals and Fourier Transformations
  • Fourier Transformation and its Applications for solution of Boundary Value PDEs in Petroleum Engineering
  • Application of Separation of Variables Method for Solution of Boundary Value PDEs in Petroleum Engineering
  • Application of Combination of Variables Method for Solution of Boundary Value PDEs in Petroleum Engineering
  • Lagrange Set and Applications for Solution of Linear PDEs
  • Green Theory, Green Functions and Their Applications for Source-Sink Problems in Petroleum Engineering
  • Higher Order Linear PDEs and Their Solutions

Text Book:

  • Applied Mathematics in Chemical and Petroleum Engineering- Vol 1- Manoochehr NikAzar & Riaz Kharrat
  • Advanced Engineering Mathematics, 10th Edition, Author: Erwin KreyszigEditor: Erwin Kreyszig


 Reservoir Rock Properties(FALL_2017)

Aims:

Study of rock properties and rock interactions with fluids (gases, liquid hydrocarbons, and aqueous solutions) in hydrocarbon reservoirs

Syllabus:

  • Introduction to Petrophysics Concepts, Petroleum System, Petroleum Generation and Migration
  • Review of Geological Concepts needed including Petroleum Traps, Oil Creation and Migration and Categorization of Depositional Rocks and their Compostion
  • Review of Porosity Types in Carbonate and Clastic Rocks and Factors affecting Primary and Secondary Porosity
  • Study of Porosity Variation with Sorting, Size, Configuration and Packing of grains in the rock Matrix
  • Study of Different Laboratory Porosity Measurement Techniques and solving problems from Real Cases
  • Study of Indirect Porosity Measurement Techniques based on Interpretation of different Wireline Well logs (Norton, Density and Acoustic Logs)
  • Investigation of Saturation Concepts and Review on the Lab. measurement methods of Porosity
  • Study of Formation Resistivity Concepts, Archies Law, Saturation and Cementation exponents and the applications for Indirect measurement of saturation
  • Study of Surface Physics, the concepts of Surface Tension, Interracial Tension and the relation with Capillary Pressure
  • Study of Capillary Pressure Concepts with Emphasis of Porous media and the impacts of Capillary pressure on Saturation Distribution in the Drainage and Imbibition Displacement Processes
  • Darcys Law for Fluid Flow in Porous Media and Defining Rock Permeability
  • Application of Darcys Law for Different Radial and Linear Geometries and Vertical, Horizontal and Inclined Porous Media
  • Laboratory Permeability Measurement Techniques and Problems of Real Cases
  • Study of Non-Darcy effects and the Klinkerberg Slippage Phenomena on Errors in Air Permeability Measurements
  • The Applications of Darcys Law for Gas Flow in Porous Media, Fluid Flow in Fracture
  • Defining the Relative Permeability of different fluid phases and its relations with the Saturation distribution influenced by Capillary Pressure
  • Special Core Analysis (SCAL) Techniques for Laboratory Measurements of Relative Permeability and Capillary Pressure
  • Reservoir Petrophysical Rock Typing assisted by Integration of SCAL/RCAL data to Correlate the Hydraulic flow Units and Reservoir Lithology

Text Book:

  • Petroleum Reservoir Engineering: Physical Properties by James W. Amyx , Daniel M. Bass, Robert L. Whiting
  • Petrophysics, 4th Edition, Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties, Author(s) : Tiab & Donaldson
  • Petroleum Reservoir Rock and Fluid Properties, Second Edition, Abhijit Y. Dandekar


 Geostatistical Spatial Modeling of Reservoir(SPRING_2017)

Aims:

Introduction to concepts of Geostatistics and Geostatistical Algorithms Applied for Spatial Modeling of Reservoir Petrophysics and Lithogy

Syllabus:

  • Recap of classic statistical concepts including PDF, CDF, Multivariate Probability Functions
  • Why geostatistics differs from statistics
  • Practice of experimental variogram calculation
  • Analytical models for varigram fitting and its relation with covariances
  • Ordinary Kriging
  • Non stationary methods for kriging
  • Indicator Kriging
  • How geostatistics describes uncertainty
  • Object-based and Pixel-based models for geostatistical modeling
  • Cokriging and External-drift Kriging for Including Seismic trends in modeling of reservoir petrophysics
  • Stochastic Simulation Approaches; Conditional vs Unconditional Simulation
  • Sequential Gaussian Simulation
  • Indicator Simulation for spatial modeling of lithofacies
  • Truncated-Gaussian Simulation
  • Zonation and quality check of petrophysical modelling process

Text Book:

  • Geostatistical Reservoir Modeling by C.V. Deutsch
  • Statistics for Petroleum engineers and Geoscientics by J.L. Jensen et al
  • Introduction to Applied Geostatistics by Isaak and Srivastava
  • Geostatistics and Petroleum Geology by M.E. Hohn


 Oil & Gas Reservoir Engineering (II)(SPRING_2017)

Aims:

Application of traditional reservoir engineering tools to evaluate the hydrocarbon in place and recovery factors

Syllabus:

  • Pressure and Temperature gradient and the Normal versus Abnormal pressured reservoirs
  • Volumetric Calculation of Hydrocarbon in place and determination of contact surfaces in the reservoir
  • Study of Production Mechanisms in different Hydrocarbon Reservoir and their Competition, The Impact of Different Production Mechanisms on the reservoir pressure behavior, Producing GOR and Water Cuts
  • Derivation of Material Balance Equation for Dry Gas Reservoirs and the modifications needed for Wet Gas Reservoir
  • Derivation and Applications of Material Balance Equation for Undersaturated Oil Reservoirs and the Relative Competition of Different Production Mechanisms
  • Derivation and Applications of General Material Balance Equation for Saturated Oil Reservoirs, Considering the impact of different production mechanisms
  • Study of Graphical Material Balance Methods for History Matching of Reservoir including the Production Mechanisms, Hydrocarbon in place and the Aquifer Characterization
  • Study and the applications of Water Influx Models describing the volume and rate of Water Influx from the Aquifers, including Steady-State, PSS and Transient Models
  • Study of Superposition Methods for Water Influx Calculations with Time
  • Study and Investigation of Volumetric Calculations and Material Balance Method for Gas Condensate Reservoir
  • Study and the applications of Decline Curve Analysis for Ultimate Recovery Estimation in Hydrocarbon Reservoirs

Text Book:

  • Applied Petroleum Reservoir Engineering (2nd Edition) 2nd Edition, by B. C. Craft , M. Hawkins, Ronald E. Terry
  • The Practice of Reservoir Engineering (Revised Edition), 1st Edition from L.P. Dake


 Advanced Engineering Mathematics(FALL_2016)

Aims:

Introduction to various numerical and analytical methods applicable to problems encountered in petroleum engineering

Syllabus:

  • Finite Element Techniques for solving PDEs
  • Boundary Value Variational Formulation for PDEs
  • Mixed Finite Element Method for solving PDEs related to Fluid Flow in Porous Media
  • Streamline simulation applied for fluid flow in porous media
  • Fundamental of Unconstrained and Constrained Optimization Theory for Engineering Problems
  • Linear Programming Algorithms for Optimization
  • Quadratic Programming for Optimizing Engineering Problems
  • Upscaling, Multi-Scale Mixed Finite Element and Multi-Scale Finite Volume Methods for solving multiscale-multi-resolution phenomena of flow
  • Fourier Transformation Methods and Applications in Petroleum Engineering
  • Wavelet Transformation with Applications in Modelling and Characterization of Petroleum Reservoirs

Text Book:

  • Practical Optimization: Algorithms and Engineering Applications by Andreas Antoniou , Wu-Sheng Lu
  • Finite Element Methods and Their Applications by Zhangxin Chen
  • Numerical Methods by Burden and Fairs
  • Applied Mathematics in Petroleum Reservoir Engineering, Course notes of Stanford University by Rosinald Archer


 Advanced Reservoir Engineering(FALL_2016)

Aims:

Study of Reservoir Engineering tools and the Application of Different approaches for Evaluation, Characterization and Modeling of Hydrocarbon Reservoirs

Syllabus:

  • Study of Uncertainty Quantification approaches for Estimation and Evaluation of hydrocarbon Reserves and the production performance
  • Review of General Material Balance Equation for Different Reservoir Types Based on the Production Mechanisms Involved
  • Development and the Applications of Modified Material Balance Equations (Time-dependent and Graphical) for production history matching and determination of Dominant Production Mechanisms, Reservoir and Aquifer Characterization
  • Study and the Applications of time dependent MBE for forecasting the production performance of reservoir (flowing and static pressures and flow-rates)
  • Study and the Applications of the Advanced Models Describing the Water Influx and the Models for Water Coning
  • Decline Curve Analysis for Prediction of the Reservoir Abandonment Time and the corresponding Ultimate Recovery
  • The Applications of Rate Transient Analysis for Reservoir Characterization Based on the the production data for a Long History
  • Development of the more General Solutions of Diffusivity Equation for Constant Pressure and Variable Rate B.C. for Analyzing the real Production History of the Wells
  • Study and the Applications of Formation Testing Methods for Determination of Contact Surfaces, Effect of Production and the Hydraulic Discontinuity between Reservoir Layers
  • Methods for Analyzing the time-dependent data in Formation Testing for Determination of Vertical/Horizontal Permeability variation versus Depth and QC of Test Points Based on Pressure Derivative Plots
  • Methods for Analysis and Interpretation of Production Logs and their Applications in Reservoir Engineering Decision Making
  • Volumetric Calculations and the time-dependent MBE for determination of Production Performance of Gas Condensate Reservoirs
  • Time Dependent Volumetric Calculations and Material Balance Analysis Assisted by IPR method to predict Gas Condensate Reservoir Performance

Text Book:

  • Advanced Reservoir Engineering, 1st Edition, Ahmed, PhD, PE & McKinney
  • Wireline Formation Testing and Well Deliverability, by George Stewart
  • The Practice of Reservoir Engineering (Revised Edition), 1st Edition from L.P. Dake


 Applied Mathematics in Petroleum Engineering(FALL_2016)

Aims:

Explanation of Analytical Methods to Solve Partial Differential Equations in Petroleum Engineering and Mathematical Modeling of Flow Phenomena in Petroleum Engineering-related Problems

Syllabus:

  • Formulation and Modeling in Petroleum Engineering
  • Properties of Laplace Transformation and its Applications for solution of PDEs in Petroleum Engineering
  • Numerical Inversion of Laplace Transforms
  • Properties and Concepts of Fourier Series, Fourier Integrals and Fourier Transformations
  • Fourier Transformation and its Applications for solution of Boundary Value PDEs in Petroleum Engineering
  • Application of Separation of Variables Method for Solution of Boundary Value PDEs in Petroleum Engineering
  • Application of Combination of Variables Method for Solution of Boundary Value PDEs in Petroleum Engineering
  • Lagrange Set and Applications for Solution of Linear PDEs
  • Green Theory, Green Functions and Their Applications for Source-Sink Problems in Petroleum Engineering
  • Higher Order Linear PDEs and Their Solutions

Text Book:

  • Applied Mathematics in Chemical and Petroleum Engineering- Vol 1- Manoochehr NikAzar & Riaz Kharrat
  • Advanced Engineering Mathematics, 10th Edition, Author: Erwin KreyszigEditor: Erwin Kreyszig


 Oil & Gas Reservoir Engineering (II)(FALL_2016)

Aims:

Application of traditional reservoir engineering tools to evaluate the hydrocarbon in place and recovery factors

Syllabus:

  • Pressure and Temperature gradient and the Normal versus Abnormal pressured reservoirs
  • Volumetric Calculation of Hydrocarbon in place and determination of contact surfaces in the reservoir
  • Study of Production Mechanisms in different Hydrocarbon Reservoir and their Competition, The Impact of Different Production Mechanisms on the reservoir pressure behavior, Producing GOR and Water Cuts
  • Derivation of Material Balance Equation for Dry Gas Reservoirs and the modifications needed for Wet Gas Reservoir
  • Derivation and Applications of Material Balance Equation for Undersaturated Oil Reservoirs and the Relative Competition of Different Production Mechanisms
  • Derivation and Applications of General Material Balance Equation for Saturated Oil Reservoirs, Considering the impact of different production mechanisms
  • Study of Graphical Material Balance Methods for History Matching of Reservoir including the Production Mechanisms, Hydrocarbon in place and the Aquifer Characterization
  • Study and the applications of Water Influx Models describing the volume and rate of Water Influx from the Aquifers, including Steady-State, PSS and Transient Models
  • Study of Superposition Methods for Water Influx Calculations with Time
  • Study and Investigation of Volumetric Calculations and Material Balance Method for Gas Condensate Reservoir
  • Study and the applications of Decline Curve Analysis for Ultimate Recovery Estimation in Hydrocarbon Reservoirs

Text Book:

  • Applied Petroleum Reservoir Engineering (2nd Edition) 2nd Edition, by B. C. Craft , M. Hawkins, Ronald E. Terry
  • The Practice of Reservoir Engineering (Revised Edition), 1st Edition from L.P. Dake


 Reservoir Rock Properties(FALL_2016)

Aims:

Study of rock properties and rock interactions with fluids (gases, liquid hydrocarbons, and aqueous solutions) in hydrocarbon reservoirs

Syllabus:

  • Introduction to Petrophysics Concepts, Petroleum System, Petroleum Generation and Migration
  • Review of Geological Concepts needed including Petroleum Traps, Oil Creation and Migration and Categorization of Depositional Rocks and their Compostion
  • Review of Porosity Types in Carbonate and Clastic Rocks and Factors affecting Primary and Secondary Porosity
  • Study of Porosity Variation with Sorting, Size, Configuration and Packing of grains in the rock Matrix
  • Study of Different Laboratory Porosity Measurement Techniques and solving problems from Real Cases
  • Study of Indirect Porosity Measurement Techniques based on Interpretation of different Wireline Well logs (Norton, Density and Acoustic Logs)
  • Investigation of Saturation Concepts and Review on the Lab. measurement methods of Porosity
  • Study of Formation Resistivity Concepts, Archies Law, Saturation and Cementation exponents and the applications for Indirect measurement of saturation
  • Study of Surface Physics, the concepts of Surface Tension, Interracial Tension and the relation with Capillary Pressure
  • Study of Capillary Pressure Concepts with Emphasis of Porous media and the impacts of Capillary pressure on Saturation Distribution in the Drainage and Imbibition Displacement Processes
  • Darcys Law for Fluid Flow in Porous Media and Defining Rock Permeability
  • Application of Darcys Law for Different Radial and Linear Geometries and Vertical, Horizontal and Inclined Porous Media
  • Laboratory Permeability Measurement Techniques and Problems of Real Cases
  • Study of Non-Darcy effects and the Klinkerberg Slippage Phenomena on Errors in Air Permeability Measurements
  • The Applications of Darcys Law for Gas Flow in Porous Media, Fluid Flow in Fracture
  • Defining the Relative Permeability of different fluid phases and its relations with the Saturation distribution influenced by Capillary Pressure
  • Special Core Analysis (SCAL) Techniques for Laboratory Measurements of Relative Permeability and Capillary Pressure
  • Reservoir Petrophysical Rock Typing assisted by Integration of SCAL/RCAL data to Correlate the Hydraulic flow Units and Reservoir Lithology

Text Book:

  • Petroleum Reservoir Engineering: Physical Properties by James W. Amyx , Daniel M. Bass, Robert L. Whiting
  • Petrophysics, 4th Edition, Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties, Author(s) : Tiab & Donaldson
  • Petroleum Reservoir Rock and Fluid Properties, Second Edition, Abhijit Y. Dandekar


 Geostatistical Spatial Modeling of Reservoir(SPRING_2016)

Aims:

Introduction to concepts of Geostatistics and Geostatistical Algorithms Applied for Spatial Modeling of Reservoir Petrophysics and Lithogy

Syllabus:

  • Recap of classic statistical concepts including PDF, CDF, Multivariate Probability Functions
  • Why geostatistics differs from statistics
  • Practice of experimental variogram calculation
  • Analytical models for varigram fitting and its relation with covariances
  • Ordinary Kriging
  • Non stationary methods for kriging
  • Indicator Kriging
  • How geostatistics describes uncertainty
  • Object-based and Pixel-based models for geostatistical modeling
  • Cokriging and External-drift Kriging for Including Seismic trends in modeling of reservoir petrophysics
  • Stochastic Simulation Approaches; Conditional vs Unconditional Simulation
  • Sequential Gaussian Simulation
  • Indicator Simulation for spatial modeling of lithofacies
  • Truncated-Gaussian Simulation
  • Zonation and quality check of petrophysical modelling process

Text Book:

  • Geostatistical Reservoir Modeling by C.V. Deutsch
  • Statistics for Petroleum engineers and Geoscientics by J.L. Jensen et al
  • Introduction to Applied Geostatistics by Isaak and Srivastava
  • Geostatistics and Petroleum Geology by M.E. Hohn


 
 
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