Homework Number 1 PETE 544 (Natural Gas Engineering)
(100 Points). Given the following gas composition:
1. Calculate the molecular weight and the specific gravity of the gas. (10 points)
2. Determine the Z-factor at 3000 psia and 200 oF by the following t

PETE 301
Reservoir Engineering
Date: Sept. 17, 2005
Due : Sept. 24, 2005
HOMEWORK # 1
The following data pertain to a newly discovered limestone undersaturated
oil reservoir in the Middle East.
Area of the reservoir = 2000 acres
Average net formation thic

MATERIAL BALANCE
EQUATION
Learning Objectives of Weeks 1-2:
Concept of fluid expansions
Calculations of fluid volumes
How MBE is derived
GENERAL MATERIAL
BALANCE EQUATION
Assumptions:
- Conservation of mass
- The reservoir is isothermal
- The reservoir

SATURATED
SATURATED
OIL RESERVOIRS
RESERVOIRS
OIL
SCHEMATIC DIAGRAM OF
A SATURATED OIL RESERVOIR
Well
Well
Gas Cap
Oil Zone
Aquifer
EXPANSIONS
Gas cap expansion
Expansions of initial gas in gas
cap, water, and change in pore
volume
Oil zone expansions
E

PETE 301
Reservoir Engineering
Date: Sept. 17, 2005
Due : Sept. 24, 2005
HOMEWORK # 1
The following data pertain to a newly discovered limestone undersaturated
oil reservoir in the Middle East.
Area of the reservoir = 2000 acres
Average net formation thic

PETE 301
Reservoir Engineering
Date: Sept. 17, 2005
Due : Sept. 24, 2005
HOMEWORK # 1
The following data pertain to a newly discovered limestone
undersaturated oil reservoir in the Middle East.
Area of the reservoir = 2000 acres
Average net formation thic

Principle of Superposition
Assumption: Infinite reservoir
Well A
rAC
rAB
well C
Pt
well B
at any point in reservoir is the sum of the pressure drops,
P' s,
the
Point caused by flow in each of the wells in the reservoir.
Pi
Pwf
Total well A
Pi P due to

Boltzman Transformation-Line Source Solution to Diffusivity Equation
Assumptions:
1. Infinite idealized radial system
2. Homogeneous fluid system, slightly compressible liquid
3. The reservoir contains a single well producing at constant rate.
Diffusivity

Analysis of abnormally-high pressured gas reservoirs
using Material Balance Equation
The general material balance equation for gas reservoirs was previously derived as:
Abnormally-high pressured gas reservoirs are volumetric reservoirs (i.e., water influx

Department of Petroleum Engineering
PETE 306: Well Testing
Credit 2 (2-0-2) - Required
Catalog Description: Derivation of the diffusivity equation for slightly compressible fluid.
Solution of the diffusivity equation using Boltzman transformation.
Pressur

PETE 544 (Natural Gas Engineering)
Homework Number 2
Problem 1 (35 points). Given the following data:
a. Calculate the original gas in place.
b. Calculate the initial reserves and recovery factor assuming that the
reservoir is a volumetric reservoir and t

WELL TESTING
OBJECTIVES OF WELL TESTING
To see if the well will flow or not.
To see if communication exists between different wells.
To see what fluid a well would produce.
To determine reservoir and flowing pressure
To see if the well would flow natural

PressureDrawdownTest
Flow the well at q= constant there will be P
So measuring the pressure response at the well is monitored at q= constant at
the surface
.
.
.
.
.
.
,
A plot of Pwf vs. t on semi-log graph paper (t on log-scale) will give a straight lin

PETE 306
WELL TESTING
Hasan Y. Al-Yousef
Petroleum Engineering Department
King Fahd University of Petroleum & Minerals
WELL TESTING
Scope of the Course:
The course is designed to cover the
fundamental concepts of well test
interpretation and design for oi

SKIN FACTOR
SKIN FACTOR
SKIN FACTOR
rs
k
rw
ks
Pressure
SKIN FACTOR
ps -ve
p1
pw
p*w
ps +ve
pw k
s
rw
k
rs
ln(r)
SKIN FACTOR
pactual = pressure drop with skin
pideal = pressure drop without skin
= pressure drop due to skin
ps
The actual or total pressure

The diffusivity Equation
Assumptions:
1.
2.
3.
4.
Single phase flow, is other mal
Horizontal reservoir.
Fluid properties, , and C are constant for the pressure changes we analyze.
Rock properties, , k, h are constant.
Conservation of mass
Mass Flow in- Ma

Objectives of Well Testing
To see if the well will flow or not.
To see what fluid a well would produce.
To see if the well would flow naturally or to be pumped, to the surface.
To see what rates of flow were possible.
To see if communication exists betwee

The Diffusivity Equation
2 P 1 P c p
r 2 r r
k t
(1)
Assumptions used to drive the diffusivity equation are:
1. Single phase flow, isothermal
2. Horizontal reservoir having constant thickness
3. Fluid properties, and C are constant for the pressure change

Rami Mohamed Alloush
g201202400
HW-1
PETE 560
25/9/2013
Q1-A
Q1 B
Q1 C
Q1 D
Q2-A
with n = 100 summation = 0.787873 and error = 0.3152%
with n = 1000 summation = 0.785648 and error = 0.0318%
Actual value is 0.785398
Increasing n to 1000 was getting closer