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QUESTION: 1

“Going by the _________ that many hands make light work, the school _______ involved all the students in the task.”

The words that best fill the blanks in the above sentence are

Solution:

QUESTION: 2

“Her _______ should not be confused with miserliness; she is ever willing to assist those in need.”

The word that best fills the blank in the above sentence is

Solution:

QUESTION: 3

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

Solution:

QUESTION: 4

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters?

Solution:

QUESTION: 5

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

Solution:

QUESTION: 6

For integers a,b and c, what would be the minimum and maximum values respectively of

Solution:

QUESTION: 7

Given that a and b are integers and a + a^{2} b^{3} is odd, which one of the following statements is correct?

Solution:

QUESTION: 8

From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

Solution:

QUESTION: 9

Which of the following functions describe the graph shown in the below figure?

Solution:

QUESTION: 10

Consider the following three statements:

(i) Some roses are red.

(ii) All red flowers fade quickly.

(iii) Some roses fade quickly.

Which of the following statements can be logically inferred from the above statements?

Solution:

QUESTION: 11

The Taylor series expansion of the function,

around x = 0 (up to 4^{th} order term) is:

Solution:

QUESTION: 12

The inverse of the matrix is

Solution:

QUESTION: 13

Naphthenic acid is a/an __________ compound.

Solution:

Naphthenic acids are a mixture of several cyclopentyl and cyclohexyl carboxylic acids with molecular weight of 120 to well over 700 atomic mass units. The main fraction are carboxylic acids with a carbon backbone of 9 to 20 carbons.

QUESTION: 14

Which one of the following is the integrating factor (IF) for the differential equation,

Solution:

QUESTION: 15

A phase diagram of a black oil is shown in the figure (Y is the critical point).

Solution:

QUESTION: 16

Match the following chemicals to their respective oilfield applications:

Solution:

QUESTION: 17

The CH_{4}-hydrate equilibrium curve (dashed) and CO_{2}-hydrate equilibrium curve (solid) on a pressure-temperature plane above 0°C are shown in the figure. The two curves divide the plane in four non-overlapping regions. In which region are CO_{2}-hydrates stable and CH_{4}-hydrates unstable?

Solution:

QUESTION: 18

Plot of ratio of pressure to gas compressibility factor (P/Z) vs. cumulative gas production (G_{p}) for a gas reservoir (represented by solid curve in the figure) was shown to a reservoir engineering student.

The student made the following statements:

(I) A water aquifer is attached to this gas reservoir.

(II) P/Z vs. G_{p} curve must always be a straight line for water encroachment in a gas reservoir.

(III) The ultimate gas recovery is diminished due to water encroachment.

Which of the above statements are TRUE?

Solution:

QUESTION: 19

Waste water from oil industry consists of oil in free and emulsified forms. The oil in the free form can be recovered by:

Solution:

QUESTION: 20

A reservoir model consisting of two porous matrices M and N, separated by a fracture, is shown in the figure. The matrices are strongly water-wet and are saturated with oil of specific gravity 0.8. Water is injected only in the fracture at injection well A. If the Reynolds number for the flow in the fracture conduit is assumed to be less than unity, which one of the following force will dominate oil recovery from the porous matrix M during the water-flood operation?

Solution:

QUESTION: 21

A fractional flow curve is given for a core for which the irreducible water saturation is 0.2 and the residual oil saturation is 0.3. The initial water saturation in the core is 0.3. If Welge’s method is applied to find the breakthrough saturation and fraction flow of water at breakthrough, which point should be used in the figure to draw a tangent line to the fractional flow curve.

Solution:

QUESTION: 22

Which one of the following curves represents behavior of oil phase viscosity as a function of pressure in the reservoir (where, Pb is the bubble point pressure of oil)?

Solution:

QUESTION: 23

Pick out the INCORRECT statement.

Solution:

QUESTION: 24

Which one of the following phenomena encountered during flooding is desirable for increasing oil recovery from a reservoir?

Solution:

QUESTION: 25

CO_{2} foams are used for enhanced oil recovery due to which of the following reasons?

(I) It can be used for CO_{2} sequestration

(II) CO_{2} can exist in the form of a dense fluid at reservoir conditions

(III) CO_{2 }can convert to hydrocarbon at the reservoir temperature and pressure

(IV) Solubility of CO_{2} in oil is higher compared to gases like N_{2}

Solution:

QUESTION: 26

Which one of the following is FALSE about a typical offshore deepwater oil spill?

Solution:

QUESTION: 27

Which one of these methods is NOT commonly used to deal with the problem of soil contamination by oil spillage?

Solution:

QUESTION: 28

The factor on which the selection of an offshore platform for the reservoir does NOT depend:

Solution:

QUESTION: 29

Which one of the following options is correct about the effects of steam stimulation in increasing the oil production rate?

(I) Reduces the oil viscosity

(II) Increases the formation damage

(III) Reduces the interfacial tension

(IV) Increases the oil viscosity

Solution:

QUESTION: 30

Which one of the following is INCORRECT about oil based drilling muds?

Solution:

QUESTION: 31

Assume that viscous, gravity, and capillary are the only dominant forces for fluid flow in a given reservoir, a cone formed around the perforation zone will break into the well, when

Solution:

QUESTION: 32

Two complex numbers, are related as follows:

where, and �� is a scalar. Given principal argument of the principal argument of. (rounded-off to two decimal places. Use �� = 3.14)

Solution:

QUESTION: 33

A cylindrical sandstone core, 7.5 cm long and 3.5 cm diameter has grain density of 3 g/cm^{3}. If the mass of the dry core is 200 g, the porosity of the core is __________%. (rounded-off to two decimal places)

Solution:

QUESTION: 34

In an oil reservoir the current average pressure is below bubble point pressure of the oil. The current oil production rate is 10^{3 }m^{3}/day and total gas production rate is 105 m^{3}/day at STP conditions (25°C and 1 atm). The formation volume factor of the oil is

and that of gas is

The dissolved gas oil ratio is

The gas flow rate at bottom-hole conditions is ______× 10^{2} m^{3} per day. (rounded-off to two decimal places)

Solution:

QUESTION: 35

Exponential decline curve is to be used to estimate the oil reserves of a well. The current oil production rate is 1000 m^{3} per day and yearly decline rate is 6% per year. If the minimum oil flow rate economically sustainable for the well is 1 m^{3} per day, the reserves (economically producible) associated with the well are _____ × 10^{6} m^{3}. (rounded-off to two decimal places. Use 1 year = 365 days)

Solution:

QUESTION: 36

The probability density for three binomial distributions (D1, D2, and D3) is plotted against number of successful trials in the given figure.

Each of the plotted distributions corresponds to a unique pair of (n, p) values, where, n is the number of trials and p is the probability of success in a trial. Three sets of (n, p) values are provided in the table.

Pick the correct match between the (n, p) set and the plotted distribution.

Solution:

QUESTION: 37

Which of the following statements are true about Natural Gas Hydrates?

Natural gas hydrates:

(I) are formed under low temperature and high pressure.

(II) can store approximately 160 m^{3} of gas per m^{3 }of hydrate at 25 ^{o}C and 1 atm.

(III) formation is an endothermic process.

(IV) are potential sources of methane.

Solution:

QUESTION: 38

P_{wf }(bottom-hole well flowing pressure) vs. Q (flow rate) plots show the inflow performance relation (IPR) and vertical lift performance (VLP) curves. Figure I shows VLP curves for two well head pressures P_{hw1} and P_{hw2}. Figure II shows VLP curves for two well diameters D_{1} and D_{2}. Which one of the following statements is true?

Solution:

QUESTION: 39

Match the following:

Solution:

QUESTION: 40

A dilute mixture of coal and sand particles, both of diameter 100 µm and densities 1800 kg/m^{3} and 2600 kg/m^{3}, respectively, is to be classified by elutriation technique using water (density 1000 kg/m^{3}, viscosity 10^{-3} Pa.s). Assuming Stokes law is applicable, the minimum settling velocity of the particles in the mixture is (g = 9.81 m/s^{2}):

Solution:

QUESTION: 41

Oil flow rate and flowing bottom-hole pressure (FBHP) recorded with time during a multirate well test are shown.

Let k is the reservoir permeability, h is the formation thickness and µ is the viscosity of the oil. ∆P_{D} (t) is constant-rate dimensionless pressure drop as a function of time. The total pressure drop till time, t, where t > t1, will be:

Solution:

QUESTION: 42

Which one of the following options presents the correct combination?

Solution:

QUESTION: 43

Which one of the following options presents the correct combination?

Solution:

QUESTION: 44

Primary and secondary indicators of kick in a well where the indicators are:

1) flow rate increase,

2) gas, oil or water-cut muds,

3) pit volume increase,

4) flowing well with mud pump shut-off,

5) reduction in drill-pipe weight,

6) drilling break.Which one of the following presents the correct combination?

Solution:

QUESTION: 45

Relative permeability curve for the two rock types (X: solid line and Y: dashed line) are shown in the diagram, where S_{w} is the fractional water saturation. Which one of the following statements is correct about wettability and consolidated nature of the two rock types?

Solution:

QUESTION: 46

Which one of the following options presents correct combinations of exploration methods with their respective frequency of operation?

Solution:

QUESTION: 47

Which one of the following options presents the correct combinations?

Solution:

QUESTION: 48

Which one of the following options represents the typical sequence of applying cut-offs for pay zone identification in a conventional reservoir?

Solution:

QUESTION: 49

Which one of the following options represents the correct sequence of arrival of acoustic wave energy recorded in a sonic log?

Solution:

QUESTION: 50

The variation of the amount of salt in a tank with time is given by,

where, x is the amount of salt in kg and t is the time in minutes. Given that there is no salt in the tank initially, the time at which the amount of salt increases to 200 kg is __________ minutes. (rounded-off to two decimal places)

Solution:

QUESTION: 51

Solve the given differential equation using the 2^{nd} order Runge-Kutta (RK2) method:

Initial condition: y(t = 0) = 4

Use the following form of RK2 method with an integration step-size, ℎ = 0.5:

The value of y(t = 0.5) =__________________. (rounded-off to two decimal places)

Solution:

QUESTION: 52

A box contains 100 balls of same size, of which, 25 are black and 75 are white. Out of 25 black balls, 5 have a red dot. A trial consists of randomly picking a ball and putting it back in the same box, i.e., sampling is done with replacement. Two such trials are done. The conditional probability that no black ball with a red dot is picked given that at least one black ball is picked, is __________. (in fraction rounded-off to two decimal places)

Solution:

QUESTION: 53

A cylindrical pipeline of length 30 km is transporting naphtha. Pressure sensors are attached along pipe length to detect leaks. Under steady-state, leak-free operation, there is a linear pressure drop along the length (z) of the pipeline. If a leak occurs, the pressure profile develops a kink at the leak point ^{Z}leak.

Assume that there is only one leak-point (4 km < ^{Z}leak < 27 km) and a new steady-state is reached. The steady-state pressure measurements at four locations along the pipe-length are provided in the table. The location of the leak-point using the gradient intersection method is _______________km. (rounded-off to two decimal places)

Solution:

QUESTION: 54

A dry core was subjected to the mercury injection test in the laboratory. Following are the related details:

Average formation porosity = 0.2

Formation volume factor, BO = 1.2 reservoir-bbl/STB

Oil API^{o }= 32, Specific gravity of water = 1.1

Hydrostatic gradient = 0.433 psi/ft

= 26 dyne/cm, where is the oil-water interfacial tension and �� is the contact angle

= 367 dyne/cm, where is air- mercury interfacial tension and �� is the contact angle

Average drainage area = 80 acres (1 acre-ft = 7758 bbl)

The Table shows the laboratory data for capillary pressure at different mercury saturations.

and the average water saturation (��_{��}) for the productive column is 0.25. The Original Oil in Place (OOIP) in the productive column where ��_{��} ≤ 0.5 is ___________ MMSTB. (rounded-off to one decimal place)

Solution:

QUESTION: 55

A well is drilled with water based mud. The water saturation in the completely flushed zone (no formation fluid residual) is given by,

where, R_{mf }and R_{xo} are the mud filtrate resistivity and flushed zone resistivity, respectively. Use, a = 1.0 and R_{xo} = 25 R_{x} The calculated porosity (ϕ) of the formation is ______. (in fraction rounded-off to two decimal places)

Solution:

QUESTION: 56

An oil well is tested at a flow rate (Q) of 50 BOPD. The bottom hole flowing pressure (P_{wf}) is 500 psia. The shut-in pressure is 1000 psia. If P_{wf} is lowered to 300 psia and assuming the Vogel’s correlation holds, the estimated flow rate in the oil well is ______BOPD (rounded-off to two decimal places). The Vogel’s correlation is:

Solution:

QUESTION: 57

Using Miller, Dyes and Hutchinson (MDH) method, the skin factor of an oil well is found to be �� = –3.5.

The reservoir and fluid properties are:

Formation porosity is 0.20

Total compressibility is 2.5 × 10^{-5} psia^{-1}

Oil viscosity is 1.5 cP Wellbore radius is 0.5 ft

Flowing bottom hole pressure at Δt = 0 is 2830 psia

Shut in pressure at Δt = 1 hr (P_{Δt=1hr}) is 3000 psia

Slope of middle time region (MTR) line in MDH plot is 190 psia/cycle.

The permeability of the reservoir is __________mD. (rounded-off to two decimal places)

Solution:

QUESTION: 58

An oil well (producing under expansion drive only) in a reservoir is subjected to two pressure build-up tests. The average formation thickness of the reservoir is 13 ft, the total compressibility is 1×10^{-5} psia^{-1}, and porosity is 0.2. The average formation volume factor of oil is 1.3 reservoir-bbl/STB. Average reservoir pressure during the first test and the second test was found to be 3500 psia and 3200 psia, respectively. If the oil produced between the two pressure build-up tests in 180 days is 250 STB/day, the area of the reservoir is __________acres. (rounded-off to two decimal places) (Use: 1 acre = 43560 ft^{2}, 1 bbl = 5.615 ft^{3})

Solution:

QUESTION: 59

A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO_{3}), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m^{3 }of preflush is able to dissolve 0.082 m^{3} CaCO_{3}. Assume that the reaction between HCl and CaCO_{3} is instantaneous. The minimum preflush volume required per meter of the formation thickness is ______________m^{3}. (rounded-off to two decimal places)

Solution:

QUESTION: 60

At a particular temperature, the vapour pressure of benzene and toluene are 4 atm and 1.2 atm, respectively. The composition of the liquid at equilibrium is 0.5 moles of benzene and 0.5 moles of toluene. Assuming ideal gas and ideal solution, the equilibrium vapour phase mole fraction of benzene is ________ . (rounded-off to two decimal places)

Solution:

QUESTION: 61

Saturated steam at 0.7 atm and 90°C condenses on a vertical pipe of 2 cm outside diameter and 40 cm length. The average condensation heat transfer coefficient on the tube is 12000 W/m^{2}K. The outside surface temperature of the pipe is maintained constant at 85°C. The enthalpy values for saturated steam and condensate are 2660 kJ/kg and 375 kJ/kg, respectively. The rate of steam condensation is ____ kg/h. (rounded-off to two decimal places)

Solution:

QUESTION: 62

Oil is being transported between two reservoirs with the help of three parallel pipes at steady state. The diameters of these pipes are 2 cm, 3 cm and 4 cm, respectively. The pipes are equal in length and the flow is laminar. The discharge through the 4 cm diameter pipe is 50 liters/s. The discharge through the 2 cm diameter pipe is _____ liters/s. (rounded-off to two decimal places)

Solution:

QUESTION: 63

A driller finds an oil reservoir with a gas cap starting at a depth of 1000 m from the surface. The gas-oil contact was found at 1100 m depth and water-oil contact was found at 1300 m depth. The water pressure in the aquifer below the oil zone varies with depth from the surface (h, in meters) as, P = h×10^{4} Pa. The density of the oil is 900 kg/m^{3} and that of the gas is 5 kg/m^{3} at the reservoir condition. The minimum density of the mud needed to stop the gas kick when the driller reaches at the top of the gas cap is _____kg/m^{3}. (rounded-off to two decimal places. Use g = 9.81 m/s^{2})

Solution:

QUESTION: 64

The viscosity, µ (in Pa.s) of a power law fluid as a function of shear rate, ��̇ (in s^{-1}) is given by the following relation:

This power law fluid lies between two infinitely large horizontal parallel plates separated by a distance (h) of 10^{-3} m. The top plate is moving horizontally at a velocity (v) of 10^{-3} m/s and the bottom plate is held stationary. Assuming laminar flow and neglecting gravity, the absolute value of steady-state shear stress acting on the bottom plate is ______ Pa. (rounded-off to two decimal places)

Solution:

QUESTION: 65

A heterogeneous rectangular rock of cross-sectional area 1 m^{2} perpendicular to the flow is being flooded by water to measure the effective permeability from cross-section AA’ to cross-section CC’

The pressure at the cross-sections AA’, BB’, and CC’ is 2 bar, 1.5 bar, and 1 bar, respectively. The permeability in mili-Darcy and lengths AB and BC in meters are given in the figure. The effective permeability of the rock from AA’ to CC’ is ______mD. (rounded-off to two decimal places)

Solution:

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