RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #8 SOLUTIONS
1. Consider the explicit transient solution of the 1-D pressure diffusivity equation where
the formation is homogeneous in permeability. Use the following parameters:
md,
psia,
k = 10
P ( x,
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #4 Solutions
1. Consider a binary system where nitrogen (N 2 ) is injected to produce decane (C 10 ).
Nitrogen injection vaporizes the decane from the liquid phase (oil) to the vapor phase
(gas).
a) Use
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #6 Solutions
1. Write or use a tridiagonal matrix solver using the Thomas algorithm and verify that
you have solved the following matrix correctly. Check your answers to make sure
they satisfy the equati
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #9 SOLUTIONS
1. Consider the following ordering of the grid blocks in the implicit finite-difference
solution of the 2-D transient diffusivity equation (x and y) where permeability
changes with distance
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #1 Solutions
1. Lets consider a different way to derive Darcys law for steady-state flow (see Figure
below). The viscous drag force is given by F = qL / k , the gravity force is
=
F
=
mg
= AL g , and the
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #7 SOLUTIONS
1. Solve the same tridiagnol matrix you solved using the Thomas algorithm in the last
problem set, but this time use both a) Jacobi iteration, and b) Gauss-Seidel iteration.
Use a value of 1
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #3 Solutions
1. Consider the definition for rock compressibility, sometimes also called pore
compressibility. The rock compressibility is defined by,
cr =
1
P T
a) Show where the above definition for r
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #2 Solutions
1. Oil is flowing into the control volume shown below. Flow is 1-D in the x-direction
so that there is no flow in the y or z-directions. The density and flow rate at location
x is 50 lbm/SCF
RESERVOIR MODELLING
(PNG 430 FALL 2012)
PROBLEM SET #5
Several weeks ago we showed an expression for the exponential function that we used for
the constant compressibility fluid equation. Please do the following:
a) Plot e x from x = 0 to 10 using 100 dat
Spring 2016 - PNG 480
Glycol Dehy Activity
Question 1.
Part a.
From GPSA 20-4 the water content of the gas can be determined from before and after it passes through
the glycol tower.
1 = 130
2 = 5.5
2
2
(80 , 200 )
(5 , 200 )
. H2O concentration at firs
PNG 480
Production Process Engineering
EXAM No. 1
L. Ayala/H. Emami-M.
Spring 2016
<-> TEST VERSION (A)
Th, March 3rd, 2016
Q &A: Answer 13 questions @ 8 pt each = 104 points
(BONUS POINTS = Answer all 15 questions = 120 pts)
Q1. Consider a 2-P horizontal
PNG 425: PRINCIPLES OF WELL TESTING AND EVALUATION
SPRING 2017
HW-06
Date Assigned: April 13nd 2017
Due Date: April 20th 2017 Before 11 pm
Q1. (35 points) A drawdown test was conducted on a new oil well. The data of the drawdown test
is presented in Table
Chapter: 4
Analysis of Well Tests Using Type Curves
1
1- Introduction
Type curve technique is a useful application in petroleum engineering. The idea of type curve
analysis is to match a given trend to a predetermined dimensionless solution in order to fi
Chapter: 5
Gas Well Testing
(Deliverability Testing)
1/5
Information that can be obtained from transient well testing are: formation
permeability, skin factor, turbulence coefficient, average reservoir pressure.
The most common transient tests are drawdow
PNG 425: PRINCIPLES OF WELL TESTING AND EVALUATION
SPRING 2017
HW 01
Date Assigned: Jan 19th
Due: Jan 26th Midnight
Q1. State the necessary assumptions for arriving at the final form of the diffusivity equation. (20)
2 1
1
+
=
2
Q2. An oil reservoi
Ch-1: Fluid Flow in Porous Media
1- Diffusivity Equation [MBE + Darcys Law]
ct
2 P 1 P
P
+
=
2
r r 0.0002637 k t
r
2- Solutions of diffusivity equation:
a. Case #1: Bounded Cylindrical Reservoir
e n t D J 12 ( n reD )
qB 2t D
3
(
)
Pwf = Pi 141.2
+
ln
r
PNG 425
Spring 2016
Problem Set 4
Date Assigned: March 17, 2016
Date Due: March 24, 2016
1. (30 points) A drawdown test was conducted on a new oil well. The reservoir, fluid and well
Properties are presented in Table 1.Table 2 shows bottomhole pressure as
PNG 425
Spring 2016
Problem Set 2
Date Assigned: February 9, 2016
Date Due: February 16, 2016
1. (60 points) 2 injectors and 2 producers are put on operation in an infinitely large
reservoir as demonstrated in Figure 1. The four wells form a rectangle. St
PNG 425
Spring 2016
Problem Set 1
Date Assigned: January 28, 2016
Date Due: February 4, 2016
1. (40 points) Consider a reservoir with the following properties:
Table 1. Relevant Reservoir, Fluid, and Well Data
Data
Initial pressure (Pi )
Porosity ()
Forma
PNG 425
Spring 2016
Problem Set 3
Date Assigned: February 25, 2016
Date Due: March 3, 2016
1. (60 points) An oil well in the center of a square reservoir has produced at 500 STB/D for
200 days. A buildup test was conducted to analyze the formation propert
PNG 425
Spring 2016
Problem Set 6
Date Assigned: April 21st, 2016
Date Due: April 28th, 2016
1. (50 points) A gas well is put on production at a constant rate of 1500 MSCF/D in an infinitely
large reservoir. The related properties and viscosity and Z of g
PNG 425
Spring 2016
Problem Set 5
Date Assigned: April 7th, 2016
Date Due: April 14th, 2016
1. (50 points) A drawdown test was conducted on a new oil well. The data of the drawdown test is
presented in Table 1. The relevant properties are presented in Tab
PNG 420 - Fall 2015
HW# 6
Due Date 11/16/2015
A 100-acres reservoir is considered for a waterflooding project. The average
Other reservoir data:
h,ft
k, md
1
35
1
109
1
87
Average porosity
=
19%
1
159
Average connate water
=
24%
1
127
Recovery by primary
PNG 420 - Fall 2015
Example of HW# 8
Due Date: 12/09/2015
A reservoir with the following data:
Spacing = 25 acres
Sor = 18 %
kro = 0.8
Porosity = 18 %
o = 6.66 cp
krw = 0.24
Thickness = 20 ft
Soi = 65 %
w = 0.60 cp
Bo = 1.31 bbl/STB
injection rate= 1000 b
PNG 420 - Fall 2015
HW# 5
Due Date 11/2/2015
Conduct a waterflooding plan using Welges method for a reservoir that is 500 ft wide, 40
ft thick and 700 ft long. The reservoir is horizontal and has a porosity of 0.10 and an
initial water saturation of 0.2,