Nadia Karima Izzaty
1306369466
Dept. Teknik Sipil
1.2.1. Take three hydrologic systems with which you are familiar. For each, draw the
system boundary and identify the inputs, outputs, and working media.
a. Sistem aliran air di dalam sebuah DTA
Boundary: daerah tangkapan air
Input: air hujan yang turun di DTA
Output: aliran air limpasan
Working media: air dan tanah
b. Sistem evapotranspirasi dalam siklus hidrologi
Boundary: daerah tangkapan air, terutama di daerah vegetasi
Input: air hujan yang turun di daerah vegetasi tersebut
Output: uap air yang mengalami evaporasi dan transpirasi dari tumbuhan
Working media: air, tumbuhan, udara
c. Infiltrasi air hujan ke dalam tanah
Boundary: tanah dasar
Input: air hujan yang turun hasil presipitasi
Output: resapan air yang terinfiltrasi ke dalam pori-pori lapisan tanah
Working media: air, tanah
1.3.1. The equation k(dQ/dt) + Q(i) = I(t) has been used to describe the gradual
depletion of flow in a river during a rainless period. In this case, I(t) = 0 and Q(t) = Q 0
for t = 0. Solve the differential equation for Q(i) for t > 0 and plot the result over a 20day period if k = 10 days and Q0= 100 cfs.
k
dQ
+Q t =I t
dt
Qt =100 cfs; k=10 days
10.
dQ
+100=0
dt
dQ 100
=
=10
dt
10
dQ
dt =10 dt
Q(t )=10 t+ c1
c 1 adalah konstanta integralterbuka
Grafik Q vs t
0
10
15
20
25
-50
-100
-150
-200
-250
1.4.1. Classify the following hydrologic phenomena according to the structure given in
Fig. 1.4.1: (a) steady, uniform flow in an open channel; (b) a sequence of daily average
flows at a stream-gaging site; (c) the annual maximum values of daily flow at a site; (d)
the longitudinal profile of water surface elevation for steady flow in a stream channel
upstream of a bridge; (e) the same as (d) but with a flood passing down the channel; (J)
a sequence of annual precipitation values at a site; (g) a sequence of annual
precipitation values at a group of nearby locations.
Steady, uniform flow in an open channel: deterministic, lumped, steady flow
A sequence of daily average flows at a stream-gaging site: deterministic, lumped,
unsteady-flow
The annual maximum values of daily flow at a site: deterministic, lumped,
unsteady-flow
The longitudinal profile of water surface elevation for steady flow in a stream
channel upstream of a bridge: stochastic, space-correlated, time-independent
Same as above, but with flood passing down the channel: stochastic, space-
independent, time-independent
A sequence of annual precipitation values at a site: stochastic, space-independent,
time-correlated
A sequence of annual precipitation values at a group of nearby locations:
stochastic, space-correlated, time-independent