Test 15 - Steady Radial Flow in Confined Aquifers

Question 1 ప్రశ్న 1

What is meant by steady radial groundwater flow toward a fully penetrating pumping well in a confined aquifer?

A Groundwater moves approximately horizontally toward the well from all radial directions and hydraulic heads no longer change with time B Groundwater moves vertically downward only and drawdown continually increases with time C Groundwater flows away from the pumping well in all directions D The aquifer becomes completely dewatered above the well screen

Question 2 ప్రశ్న 2

If the initial piezometric head of a confined aquifer is H and the pumping-induced piezometric head at a point is h, how is drawdown s defined?

A s = H - h B s = H + h C s = h/H D s = Hh

Question 3 ప్రశ్న 3

Which set of assumptions is most consistent with the classical steady Thiem solution for a confined aquifer?

A Homogeneous and isotropic aquifer of approximately uniform thickness, fully penetrating well, constant pumping rate, radial flow and steady conditions B Strongly anisotropic aquifer, partially penetrating well and rapidly changing pumping rate C Unconfined flow with large changes in saturated thickness and no radial symmetry D Turbulent pipe flow inside the aquifer with no hydraulic-head gradient

Question 4 ప్రశ్న 4

For a homogeneous confined aquifer of hydraulic conductivity K and thickness b, which relation gives transmissivity T?

A T = K/b B T = Kb C T = b/K D T = K + b

Question 5 ప్రశ్న 5

For horizontal radial flow through a confined aquifer of thickness b, what is the cross-sectional flow area at radial distance r from a fully penetrating well?

A πr² B 2πrb C 2πr² D rb²

Question 6 ప్రశ్న 6

Two observation wells are located at radii r1 and r2 from a pumping well in a confined aquifer, where r2 > r1 and corresponding piezometric heads are h1 and h2. Which natural-logarithm form of the steady Thiem equation is correct?

A Q = 2πT(h2 - h1) / ln(r2/r1) B Q = 2πT(h1 - h2) ln(r2/r1) C Q = T ln(r2/r1) / [2π(h2 - h1)] D Q = 2π(h2 - h1) / [T ln(r2/r1)]

Question 7 ప్రశ్న 7

Using drawdowns s1 and s2 at observation wells r1 and r2, with r2 > r1, which base-10 logarithm form is equivalent to the confined-aquifer Thiem equation?

A Q = 2.73T(s1 - s2) / log10(r2/r1) B Q = 0.366T(s1 - s2) log10(r2/r1) C Q = 2.73T(s1 + s2) log10(r2/r1) D Q = T log10(r2/r1) / [2.73(s1 - s2)]

Question 8 ప్రశ్న 8

A confined aquifer has transmissivity 300 m²/day. Under steady pumping, drawdowns at observation wells 50 m and 500 m from the well are 6 m and 4 m respectively. Using Q = 2.73T(s1 - s2)/log10(r2/r1), what is the pumping rate?

A 819 m³/day B 1092 m³/day C 1638 m³/day D 3276 m³/day

Question 9 ప్రశ్న 9

During a steady pumping test, Q = 1092 m³/day. Drawdowns at observation wells 20 m and 200 m from the pumping well are 5 m and 3 m respectively. What is the aquifer transmissivity?

A 100 m²/day B 150 m²/day C 200 m²/day D 400 m²/day

Question 10 ప్రశ్న 10

A confined aquifer has T = 200 m²/day and is pumped steadily at Q = 546 m³/day. If drawdown at r1 = 20 m is 4 m, what is the drawdown at r2 = 200 m?

A 1 m B 2 m C 3 m D 4 m

Question 11 ప్రశ్న 11

Under steady pumping from a confined aquifer, how does piezometric head generally vary with radial distance away from the pumping well within the cone of depression?

A It generally increases with increasing radial distance from the pumping well B It generally decreases continuously with increasing distance from the well C It is necessarily identical at every radial distance D It is unrelated to pumping and depends only on well diameter

Question 12 ప్రశ్న 12

For an ideal steady confined aquifer having radius of influence R and pumping-well radius rw, which equation gives pumping rate Q in terms of well drawdown sw and transmissivity T?

A Q = 2.73Tsw / log10(R/rw) B Q = 2.73Tsw log10(R/rw) C Q = T log10(R/rw) / (2.73sw) D Q = 2.73sw / [T log10(R/rw)]

Question 13 ప్రశ్న 13

A confined aquifer has T = 200 m²/day, radius of influence R = 200 m and pumping-well radius rw = 0.20 m. If the aquifer drawdown at the well is 4 m, what pumping rate is predicted by the steady Thiem equation?

A 364 m³/day B 546 m³/day C 728 m³/day D 1092 m³/day

Question 14 ప్రశ్న 14

A confined aquifer is pumped at 819 m³/day. Its transmissivity is 300 m²/day, radius of influence is 300 m and well radius is 0.30 m. What aquifer drawdown at the well is predicted by the ideal steady Thiem equation?

A 1 m B 2 m C 3 m D 6 m

Question 15 ప్రశ్న 15

A confined aquifer has T = 200 m²/day and is pumped at Q = 546 m³/day. If the aquifer drawdown at a well of radius 0.20 m is 3 m, what radius of influence is implied by the ideal steady Thiem equation?

A 20 m B 100 m C 200 m D 2000 m

Question 16 ప్రశ్న 16

For fixed pumping rate Q, well geometry and radius of influence, what happens to the ideal Thiem drawdown when aquifer transmissivity is doubled?

A It is approximately halved B It doubles C It becomes four times larger D It is unchanged

Question 17 ప్రశ్న 17

Under the ideal steady Thiem relation, if pumping rate is doubled while transmissivity and all relevant radii remain unchanged, what happens to drawdown?

A It is halved B It remains unchanged C It doubles D It increases by a factor of four

Question 18 ప్రశ్న 18

For fixed Q, T and radius of influence R, what does the ideal confined Thiem equation predict if the pumping-well radius rw is increased?

A The calculated aquifer drawdown at the well decreases because log10(R/rw) becomes smaller B The calculated aquifer drawdown necessarily increases in direct proportion to rw C Drawdown becomes completely independent of well radius D Transmissivity automatically decreases

Question 19 ప్రశ్న 19

A confined aquifer is 10 m thick and a well pumps steadily at 628.3 m³/day. What is the magnitude of Darcy flux through a cylindrical surface at radius 20 m from the well?

A 0.05 m/day B 0.50 m/day C 5.0 m/day D 50 m/day

Question 20 ప్రశ్న 20

In an ideal confined aquifer of constant thickness carrying a constant pumping discharge, how does the radial Darcy flux magnitude at r = 10 m compare with that at r = 20 m?

A It is one-half as large B It is the same C It is twice as large D It is four times as large

Question 21 ప్రశ్న 21

What is an important advantage of using two observation wells in a steady confined-aquifer pumping test?

A Transmissivity can be calculated from the difference in heads or drawdowns without requiring the radius of influence or the pumped-well water level B Storativity can always be calculated directly from steady-state observations alone C Well loss in the pumping well becomes equal to aquifer loss D Hydraulic conductivity is no longer related to aquifer thickness

Question 22 ప్రశ్న 22

Why can aquifer storativity not normally be determined from the classical steady two-observation-well Thiem equation alone?

A The steady equation contains no time-dependent storage term B Storativity is always numerically equal to transmissivity C Storativity applies only to unconfined aquifers D Observation wells cannot measure hydraulic head

Question 23 ప్రశ్న 23

Which statement best describes true steady-state conditions around a continuously pumping well?

A Heads at fixed locations stop changing because the pumping withdrawal is balanced by boundary inflow, induced recharge or an equivalent reduction in natural discharge B All aquifer water has been removed and hydraulic head is zero everywhere C The pumping rate has necessarily fallen to zero D Water continues to be removed entirely from aquifer storage at an ever-increasing rate

Question 24 ప్రశ్న 24

Which interpretation of the radius of influence of a pumping well is most appropriate?

A It is an approximate radial distance beyond which pumping-induced drawdown is negligible for the particular pumping and aquifer conditions B It is a fixed universal multiple of well diameter C It is always exactly equal to aquifer thickness D It is the radius of the well casing itself

Question 25 ప్రశ్న 25

Which combination of units is dimensionally consistent with the confined-aquifer Thiem equation Q = 2πTΔh/ln(r2/r1)?

A Q in m³/day, T in m²/day, Δh in m and both radii in the same length unit B Q in m/day, T in m³/day and Δh dimensionless C Q in m²/day, T in m/day and Δh in m³ D Q dimensionless, T in m² and Δh in day

Question 26 ప్రశ్న 26

Consider the following statements about steady confined-aquifer well flow: I. Drawdown is generally greatest near the pumping well. II. For a homogeneous confined aquifer, transmissivity equals hydraulic conductivity multiplied by aquifer thickness. III. At steady radial flow, the same pumping discharge crosses successive cylindrical surfaces surrounding the well. IV. The classical steady Thiem distance-drawdown equation can determine transmissivity but does not by itself determine storativity. Which option is correct?

A I and II only B I, II and III only C II, III and IV only D I, II, III and IV

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