| 
 QUESTIONS
 
What is the hydrologic cycle?Name 
the liquid-transport phases of the hydrologic cycle.Name the vapor-transport phases of the 
hydrologic cycle. What is a catchment? Give two examples of engineering problems 
(different from those mentioned in the text) where hydrologic knowledge is necessary to obtain a 
solution.  What is material model? A formal model? What is an iconic model? An 
analog model? What is a deterministic model ? A lumped model? Contrast conceptual 
and parametric models.Contrast analytical and numerical solutions. What is a 
small catchment from the flood hydrology standpoint? A midsize catchment? A large catchment? 
 
 
 
 PROBLEMS
 
 
During a given year, the following hydrologic data were collected 
for a 2500-km2 basin: total precipitation, 620 mm; total combined loss due to evaporation 
and evapotranspiration, 320 mm; estimated groundwater outflow (including groundwater depletion), 
100 mm ; and mean surface runoff, 150 mm. What is the change in volume of water 
remaining in storage in the basin during the elapsed year? (Volume in hm3, i.e., millions of cubic meters). 
 
 | 
Using Eq. 1-1:  ΔS = 620 - (320 + 100 + 150) = 50 mm.
  
         The change in volume of water remaining in storage is:
 
         ΔS = 50 mm × 2500 km2 × 103 hm3/km3 × 10-6 
km/mm = 125 hm3.  ANSWER.
 | 
 
During 2012, the 
following hydrologic data were collected for a 85-mi2 watershed: total 
precipitation, 27 in.; total combined loss due to evaporation and 
evapotranspiration, 10 in.; estimated groundwater outflow (including 
groundwater depletion), 7 in.; and mean surface runoff, 9 in. What 
is the change in volume of water remaining in storage 
in the watershed during 2012? (Volume in ac-ft). 
 
 |  
Using Eq. 1-1:  ΔS = 27 - (10 + 7 + 9) = 1 in.
  
         The change in volume of water remaining in storage is:
  
         ΔS = 1 in. × 85 mi2  × 640 ac/mi2  × 0.08333 ft/in. = 4533 ac -ft.  ANSWER.
 | 
 
During a given year, the following hydrologic data were 
collected for a certain 350-km2 
catchment: total precipitation, 850 mm; combined evaporation and 
evapotranspiration, 
420 mm; and surface runoff, 225 mm. Calculate the volume of infiltration (in hm3, i.e., millions of cubic meters), 
neglecting changes in surface water storage and groundwater effects.
 
 | 
Using Eq. 1-2:   ΔS = 850 - (420 + I + 225) = 0.
 
         The volume of infiltration is: I = 205 mm. Expressed in cubic
         hectometers:
 
         I = 205 mm × 350 km2 × 103 hm3/km3  × 10-6 km/mm = 71.75 hm3.   ANSWER.
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During a given year, the following hydrologic data were measured 
for a certain 60-mi2
watershed: total precipitation, 35 in.; and estimated losses due to 
evaporation, evapotranspiration, and infiltration, 28 in. Calculate the mean annual runoff 
(in ft3/s). Neglect 
changes in surface water storage and groundwater effects.
 
 | 
Using Eq. 1-3:    Q = 35 - 28 = 7 in. The mean annual runoff is:
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                     7 in./y × 60 mi2 × (5280 ft/mi)2
Q =     __________________________________
                        = 30.94 ft3/s.   ANSWER.
 
 
             12 in./ft × 365 d/y ×  86,400 s/d
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