Past Year Exam

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    VENUE/S: DATE:

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    C:\Documents and Settings\jishan\Desktop\RE2011\EXAM2010\Sem 1 2010 Exam Coversheet.doc

    EXAMINATION COVER SHEET(Do not alter this form)

    THIS FORM MUST ACCOMPANY EVERY EXAMINATION PAPER

    School / Centre / Discipline: Mechanical Engineering ______________________________________________________________

    Unit Code: Name of Unit : Reservoir Engineering ________________________

    Paper No: (if more than one) _____________ Number of Candidates: 110 _________ No of pages in exam: 4 ____________

    Duration of exam: 2 hrs (and 10 minutes) 3 hrs (and 10 minutes)

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    Name of examiner: Jishan Liu/Jiang Guo Wang _________ Telephone No: 7205 ______ Mobile: _______________________

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    Answer books(please use discretion)

    6 Writing Pages ______ each

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    18 Writing Pages ______ each

    Multiple choice answer sheets.

    125 questions

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    PETR3511/PETR8053 FINAL EXAM 2010

    SECTION A (30 Marks): There are six questions in this section. Please provide your answers on the answer book, clearly stating the question number.

    1) (5%) Define dissolved gas-oil ratio, s R , and volatilized oil-gas ratio, v R .

    Assuming a single-phase oil reservoir, what is the relation between s R and v R ?

    2) (5%) Define the compressibility for gas. Discuss how the reservoir pressure

    affects the compressibility for the ideal gas.

    3) (5%) For a single phase oil reservoir, use the initial free phase oil, foi N , and the

    initial dissolved gas-oil ratio, si R , to define OOIP (original oil in place) and OGIP

    (original gas in place).

    4) (5%) Use two-phase oil formation volume factor to define the oil phase

    expansivity. Discuss how the oil phase expansivity changes as the reservoir

    pressure decreases.

    5) (5%) Define the relative permeability and explain why neither of the two relativepermeabilities in a two-phase reservoir can ever be greater than 1.

    6) (5%) Name three factors that affect the hydraulic diffusivity. Discuss how each of

    them affects the magnitude of the hydraulic diffusivity.

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    PETR3511/PETR8053 FINAL EXAM 2010

    SECTION B (20 Marks): There is one question in this section. Please provide your

    answers on the answer book, clearly stating the question number.

    A small gas reservoir has an initial pressure of 3000 psia and temperature of 220F.The following table gives the pressure and production history.

    Complete the following questions:

    1. Calculate the gas expansivity, g E , at the end of each interval.

    2. Calculate the accumulative production gas volume at the reservoir condition at

    the end of each interval.3. Assuming no water influx and neglecting formation compressibility, calculate the

    OGIP using production data at the end of each interval

    4. Discuss your calculated OGIPs and explain why they indicate a waterdrive.

    5. Assuming the real OGIP is equal to scf 6101000 , use the MBE,

    W B BGF gig fgi += , to calculate the water influx, W , at the end of each

    interval.

    SECTION 2: Pressure and Production History

    ( ) psi p ( )scf G p610 ( )scf Bg / ftres

    3

    3000 0 0.0055

    2500 100 0.006

    2000 300 0.007

    1500 500 0.008

    SECTION 2: Pressure and Production History

    ( ) psi p ( )scf G p610 ( )scf Bg / ftres

    3

    3000 0 0.0055

    2500 100 0.006

    2000 300 0.007

    1500 500 0.008

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    PETR3511/PETR8053 FINAL EXAM 2010

    SECTION C (10 Marks): There is one question with two parts in this section. Please

    provide your answers on the answer book, clearly stating the question number.

    PART I (5%): For a one-dimensional incompressible flow system as defined in thefollowing graph, the pressure distribution along the flow path, ( ) x p , is determined bythe permeability distribution only. Use the information given in the graph to

    determine the pressure distribution along the flow path.

    PART II (5%): Assuming the flowing liquid in Part I is an ideal gas and k k k == 21 ,

    the relation between the gas density, , and the gas pressure, p , can be defined as

    p = ( is a constant). Assuming the viscosity as , prove that the Darcy

    velocity, xu , can be calculated as

    pk

    u x

    50=

    mDk 100001 = mDk 102 = psi p10

    1= 0

    2= p

    00.5 1.0

    X (ft)

    No Flow No Flow

    No Flow No Flow

    Definition of a one- dimensional flow system

    mDk 100001 = mDk 102 = psi p10

    1= 0

    2= p

    00.5 1.0

    X (ft)

    No Flow No Flow

    No Flow No Flow

    mDk 100001 = mDk 102 = psi p10

    1= 0

    2= p

    00.5 1.0

    X (ft)

    No Flow No Flow

    No Flow No Flow

    Definition of a one- dimensional flow system