Канал: PGE 323M Reservoir Engineering III (Simulation)

Buckley-Leverett Example in CMG

Buckley-Leverett Example in CMG

Project 2 in CMG

Project 2 in CMG

Modifications to the discrete equations for wells

Modifications to the discrete equations for wells

Peaceman Correction

Peaceman Correction

Heterogeneities and horizontal wells

Heterogeneities and horizontal wells

Simple 2D Problem in CMG

Simple 2D Problem in CMG

Irregular Domains

Irregular Domains

Interblock permeabilities

Interblock permeabilities

2D Finite Volume Discretization

2D Finite Volume Discretization

Boundary Conditions in 2D

Boundary Conditions in 2D

Introduction to Two-Dimensional Problems

Introduction to Two-Dimensional Problems

Introduction to Two-Dimensional Problems

Introduction to Two-Dimensional Problems

1D Single Phase Flow Example in CMG

1D Single Phase Flow Example in CMG

Boundary Conditions for Heterogeneous Reservoirs

Boundary Conditions for Heterogeneous Reservoirs

Interblock Reservoir Properties

Interblock Reservoir Properties

Finite Volume in 1D for Heterogeneous Reservoirs

Finite Volume in 1D for Heterogeneous Reservoirs

Finite Volume Discretization in 1D

Finite Volume Discretization in 1D

Mixed Time Integration Methods

Mixed Time Integration Methods

Formation Volume Factor

Formation Volume Factor

Transmissibility Form of Discrete Equations

Transmissibility Form of Discrete Equations

Boundary Conditions

Boundary Conditions

Explicit and Implicit Time Discretization

Explicit and Implicit Time Discretization

Spatial Approximation with Finite DIfferences

Spatial Approximation with Finite DIfferences

Finite Difference Approximations

Finite Difference Approximations

1D Discretization

1D Discretization

Weak Form of Pressure Diffusivity Equation

Weak Form of Pressure Diffusivity Equation

Pressure Diffusivity Equation

Pressure Diffusivity Equation

matplotlib

matplotlib

SciPy: Scientific Toolkit

SciPy: Scientific Toolkit

Numpy

Numpy

Python Classes and Object-Oriented Programming

Python Classes and Object-Oriented Programming

Python Loops and Conditionals

Python Loops and Conditionals

Python Lists, Tuples, Dictionaries

Python Lists, Tuples, Dictionaries

Jupyter Notebook and Python functions

Jupyter Notebook and Python functions

git and Github

git and Github

Basic Unix Commands - File System Navigation

Basic Unix Commands - File System Navigation

Pressure Diffusivity Equation Example

Pressure Diffusivity Equation Example

Darcy's Law

Darcy's Law

Mass conservation

Mass conservation

Material form of mass conservation

Material form of mass conservation

Material time derivative

Material time derivative

Special Topics

Special Topics

Slide deck review of multiphase flow

Slide deck review of multiphase flow

Buckley-Leverett vs. IMPES in MATLAB

Buckley-Leverett vs. IMPES in MATLAB

Discussion on upwinding

Discussion on upwinding

IMPES - Total Transmissibility

IMPES - Total Transmissibility

IMPES - Discreet Saturation Equation

IMPES - Discreet Saturation Equation

IMPES - Discrete Pressure Equation

IMPES - Discrete Pressure Equation

IMPES - Pressure Equation

IMPES - Pressure Equation

IMPES - Saturation Equation

IMPES - Saturation Equation

Steps for initializing reservoir in multiphase flow

Steps for initializing reservoir in multiphase flow

Slide review of Buckley - Leverett Theory

Slide review of Buckley - Leverett Theory

Slide deck review of Buckley-Leverett theory

Slide deck review of Buckley-Leverett theory

Buckley-Leverett thoery

Buckley-Leverett thoery

Summary of 1D multiphase flow equations

Summary of 1D multiphase flow equations

Multiphase flow: Gas balance

Multiphase flow: Gas balance

Multiphase flow: Oil balance

Multiphase flow: Oil balance

Multiphase flow: Water balance

Multiphase flow: Water balance

Live coding HW4 (Part 3)

Live coding HW4 (Part 3)

2D Example Problem

2D Example Problem

Live coding HW4 (Part 2)

Live coding HW4 (Part 2)

Live coding HW4 (Part 1)

Live coding HW4 (Part 1)

Mass balance equations with wells

Mass balance equations with wells

Review of well models

Review of well models

Peaceman correction

Peaceman correction

Intro to well models and radial diffusivity equation

Intro to well models and radial diffusivity equation

Matrix equations with wells

Matrix equations with wells

Summary of 2D discrete equations

Summary of 2D discrete equations

Boundary conditions in 2D

Boundary conditions in 2D

2D interblock tramissability and permeability

2D interblock tramissability and permeability

Slide review of 2D discrete mass balance equations

Slide review of 2D discrete mass balance equations

Mass balance in 2d

Mass balance in 2d

2d index convention

2d index convention

General comments about 2d flow

General comments about 2d flow

Review of heterogeities

Review of heterogeities

Transmissibility Matrix

Transmissibility Matrix

Changing grid cross sectional area

Changing grid cross sectional area

Changing grid block size

Changing grid block size

Heterogeneous permeability

Heterogeneous permeability

Implicit/Explicit/Mixed equations from Control Volume

Implicit/Explicit/Mixed equations from Control Volume

Control Volume approach for ith grid block

Control Volume approach for ith grid block

Slide deck review of transmissabilty forms

Slide deck review of transmissabilty forms

Mixed Implicit/Explicit Transmissabilty Form

Mixed Implicit/Explicit Transmissabilty Form

Explicit Transmissabilty Form

Explicit Transmissabilty Form

Implicit Transmissabilty Form

Implicit Transmissabilty Form

Transmissabilty form of the single phase flow equations

Transmissabilty form of the single phase flow equations

Review of explicit and implicit time integration schemes

Review of explicit and implicit time integration schemes

Implicit Method for single-phase flow equations

Implicit Method for single-phase flow equations

Boundary Conditions

Boundary Conditions

Review of explicit method

Review of explicit method

Forward, backward, central finite differences and errors

Forward, backward, central finite differences and errors

Single phase flow in porous media - 1D Example

Single phase flow in porous media - 1D Example

Review of single phase flow in porous media equations

Review of single phase flow in porous media equations

Introduction to Reservoir Simulation

Introduction to Reservoir Simulation

Coding a Newton-Raphson nonlinear solver in Python

Coding a Newton-Raphson nonlinear solver in Python

$Computing residual for fracture model$

Computing residual for fracture model

$Elastic influence function for fracture model$

Elastic influence function for fracture model

$Defining grids for fracture model$

Defining grids for fracture model

CMG Project 2

CMG Project 2

Special Topics

Special Topics

Multiphase Flow Example

Multiphase Flow Example

Discussion on Upwinding

Discussion on Upwinding

Review of Wells in Multiphase Flow

Review of Wells in Multiphase Flow

CMG Project - Video 3a (Higher Quality)

CMG Project - Video 3a (Higher Quality)

CMG Project - Video 2

CMG Project - Video 2

CMG Project - Video 3

CMG Project - Video 3

CMG Project - Video 1

CMG Project - Video 1

IMPES

IMPES

Initializing the reservoir for multiphase flow calculations

Initializing the reservoir for multiphase flow calculations

Comments on Buckley-Leverett

Comments on Buckley-Leverett

Buckley-Leverett Theory

Buckley-Leverett Theory

Multiphase flow equations (black oil)

Multiphase flow equations (black oil)

Constitutive equations for multiphase flow

Constitutive equations for multiphase flow

Introduction to multiphase black oil model

Introduction to multiphase black oil model

Project 1 CMG Exercise

Project 1 CMG Exercise

Review of well models

Review of well models

2D example

2D example

Matlab / Programming Tutorial

Matlab / Programming Tutorial

Well Models (Part 2)

Well Models (Part 2)

Well models (Part 1)

Well models (Part 1)

Review of 2D heterogeneous reservoir equations

Review of 2D heterogeneous reservoir equations

Boundary conditions

Boundary conditions

General comments on 2D flow

General comments on 2D flow

Live coding Example 7

Live coding Example 7

Brief review of heterogeneity

Brief review of heterogeneity

Heterogeneous permeability

Heterogeneous permeability

Heterogeneous permeability and grid spacing

Heterogeneous permeability and grid spacing

Review methods for deriving conservation equations

Review methods for deriving conservation equations

Review of "control volume" approach

Review of "control volume" approach

Alternative derivation of transmissibility form of equations

Alternative derivation of transmissibility form of equations

Review of transmissibility form of equations

Review of transmissibility form of equations

Transmissibility form of equations

Transmissibility form of equations

Clarification on boundary conditions

Clarification on boundary conditions

Review of implicit vs. explicit schemes

Review of implicit vs. explicit schemes

Contour maps

Contour maps

Introduction to finite-differencing

Introduction to finite-differencing

Review of Assumptions

Review of Assumptions

Analytic solution to 1D diffusivity equation

Analytic solution to 1D diffusivity equation

Review of one-dimensional diffusivity equation

Review of one-dimensional diffusivity equation

General diffusivity equation

General diffusivity equation

Correction to derivation of continuity equation

Correction to derivation of continuity equation

Pressure diffusivity equation slides

Pressure diffusivity equation slides

Pressure diffusivity equation

Pressure diffusivity equation

Darcy's law and Formation Volume Factor

Darcy's law and Formation Volume Factor

Mass balance slides

Mass balance slides

Mass balance in one-dimension

Mass balance in one-dimension

Mass balance in three-dimensions

Mass balance in three-dimensions

Introduction to reservior simulation

Introduction to reservior simulation