Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Handout note 13
page 1 of 4
INTRODUCTION TO FRACTURED RESERVOIR SIMULATION
Based on the theory of fluid flow in fractured porous media developed in the 1960's by Barrenblatt et al., Warren
and Root introduced the concept
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2015
Handout note 12
page 1 of 4
SOLUTION OF NONLINEAR EQUATIONS
Considering the onedimensional saturated three phase equations:
(
)
(
)
Txoi+1 2 Poi+1 Poi + T xoi1 2 Poi1 Poi qoi
(
) (
) (
)] + T [( P P ) + ( P
)
= Cp oo i
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Exercise 6
page 1 of 1
Modification of the Eclipse system in Exercises 4 and 5 to use horizontal wells
As a continuation of Exercises 4 and 5, make the following modifications to the input file ODEH.DATA:
Redefine the in
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
Introduction to ECLIPSE 100
Home
General
Information
s
Contents
Sectionheader
Keywords
Keywords in
Sections
Useful
Informations
General Informations
Sectionheader Keywords
Running
Simulation
Sample
Simulation
Visualization
Software
What is it ECLIPSE 1
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2015
Lecture note 11
page 1 of 5
SYSTEMS OF VARIABLE FLOW AREA
We will look at two types of variable flow area. In linear coordinates, the thickness of the system may be
variable, and in cylindrical coordinates, the radial coo
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Exercise 2
OilWater Simulation using the IMPES Method
Objective
The objective of this exercise is to study effects of numerical dispersion, upstream selection of
mobilities and capillary dispersion by variation of:
grid
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Exercise 1
Page 1 of 1
Explicit and implicit solution of the onedimensional diffusivity equation
a)
Make complete derivations of the numerical formulations found in Lecture note 1 under Solution of
the difference equatio
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Exercise 4
page 1 of 1
Introduction to reservoir simulation using the ECLIPSE 100 model
This exercise is an introduction to the commercial reservoir simulator ECLIPSE 100. The purpose is to learn
how the input and output
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Exercise 3
page 1 of 1
Numerical Solution of SinglePhaseFlow Equation
Consider the 1D, singlephase, blockcentered grids in the horizontal reservoir as it is shown
below. (1 ft = 0.3048 m)
Gridblocks 1 and 5 are locate
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Handout note 7
page 1 of 11
SATURATED OILGAS SIMULATION  IMPES SOLUTION
The major difference between twophase oilwater flow and twophase, saturated oilgas flow is that the solution
gas terms have to be included in
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Handout note 8
page 1 of 9
UNDERSATURATED OILGAS SIMULATION  IMPES TYPE SOLUTION
If the oil is undersaturated, there is no free gas in the pores. Thus, we really have one phase flow (in absence of
water). However, if
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Lecture note 4
page 1 of 9
ONEDIMENSIONAL, ONEPHASE RESERVOIR SIMULATION
Fluid systems
The term single phase applies to any system with only one phase present in the reservoir. In some cases it may also
apply where two
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Handout note 9
page 1 of 10
THREE PHASE FLOW
Adding water to the previous oilgas equations for a onedimensional, horizontal system, we have the following
three continuity equations:
( oLuo ) = ( oLSo )
x
t
g ug + oGuo
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Lecture note 1
page 1 of 11
INTRODUCTION TO RESERVOIR SIMULATION
Analytical and numerical solutions of simple onedimensional, onephase flow equations
As an introduction to reservoir simulation, we will review the simple
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Lecture note 6
page 1 of 12
OILWATER SIMULATION  IMPES SOLUTION
We have previously listed the multiphase flow equations for onedimensional, horizontal flow in a layer of
constant cross sectional area as consisting of a
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Lecture note 3
page 1 of 5
DISCRETIZATION OF THE FLOW EQUATIONS
As we already have seen, finite difference approximations of the partial derivatives appearing in the flow equations
may be obtained from Taylor series expan
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Lecture note 2
page 1 of 7
REVIEW OF BASIC STEPS IN DERIVATION OF FLOW EQUATIONS
Generally speaking, flow equations for flow in porous materials are based on a set of mass, momentum and
energy conservation equations, and
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
TPG4160 Reservoir Simulation 2016
Handout note 5
page 1 of 7
DIRECT SOLUTION OF LINEAR SETS OF EQUATIONS
As an illustration of solution of linear equations, consider the following set of 3 equations:
a1 1x 1+a 1 2x2 +a 1 3x3 =d 1
( 1)
a2 1x1+a 2 2x 2+a 2
Tarbiat Modarres University (Professor Training University)
Reservoir Simulation
ENGINEERIN TPG 4160

Spring 2016
SIG4042 Reservoir Simulation 2016
Handout note 10
page 1 of 2
VARIABLE BUBBLE POINT PROBLEMS
Under some conditions of production and injection, a reservoir will go frm being undersaturated to saturated, and
vice versa. Therefore, we need to discuss how t
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
Home
Search
Collections
Journals
About
Contact us
My IOPscience
Effects of plasma power on material and optical quality of GaN nanorods grown by plasmaassisted molecular beam epitaxy
This content has been downloaded from IOPscience. Please scroll down to
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
IOP PUBLISHING
NANOTECHNOLOGY
Nanotechnology 18 (2007) 385306 (7pp)
doi:10.1088/09574484/18/38/385306
Growth of GaN freestanding nanowires
by plasmaassisted molecular beam
epitaxy: structural and optical
characterization
M Tchernycheva1,2,6 , C Sartel1
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
1
The Measurement of surface energy of polymer by means
of contact angles of liquids on solid surfaces
A short overview of frequently used methods
by
Finn Knut Hansen
Department of Chemistry
University of Oslo
2
Definitions
Surface tension and surface ene
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
Advanced Materials Research Vol. 829 (2014) pp 897901
Online available since 2013/Nov/15 at www.scientific.net
(2014) Trans Tech Publications, Switzerland
doi:10.4028/www.scientific.net/AMR.829.897
Synthesis of GaN Nanoparticles by DC Plasma Enhanced Ch
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 2, ISSUE 10, OCTOBER 2013
ISSN 22778616
Visible Photoluminescence Enhancement Of
Silicon Oxide
Kifah Q. Salih
Abstract: We have been proposed a treatment method for the visible photolumines
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
Superficies y Vaco 18(2), 713, junio de 2005
Sociedad Mexicana de Ciencia y Tecnologa de Superficies y Materiales
Photoluminescence and cathodoluminescence characteristics of SiO2 and SRO
films implanted with Si
F. Flores Gracia
Centro de Investigaciones
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
TEFLON
PolyTetraFluoroEthylene is a fluorocarbonbased polymer and is commonly abbreviated PTFE. The Teflon brand of PTFE is manufactured only by DuPont.
Several other manufacturers make their own brands of PTFE which can often be used as substitute mater
Tarbiat Modarres University (Professor Training University)
nano
ENGINEERIN 1245

Spring 2016
Growth of largescale GaN nanowires and tubes by direct reaction of Ga with NH 3
Maoqi He, Indira Minus, Piezhen Zhou, S. Noor Mohammed, Joshua B. Halpern, Randy Jacobs, Wendy L.
Sarney, Lourdes SalamancaRiba, and R. D. Vispute
Citation: Applied Physics