# **Example 2.9: Baseflow Recession** #--Part A: Recession constant Qo = 3500 ft^3/s t = 100 days Q = 1500 ft^3/s a = (-1/t)*ln(Q/Qo); /days #Fetter: 8.47e-3 1/days #--Part B: Base flow after 40 days t = 40 days Q = Qo * exp(-a*t); ft^3/s #Fetter: 2500 ft^3/s # **Example 2.12.1: Groundwater Recharge** #--Step 1: Potential groundwater discharge, beginning first year Qo_first_year = 760 m^3/s days_per_month = 30 days To = 6.3 * days_per_month Vtp_first_year = Qo_first_year * To / 2.3026 #Fetter: 5.4e9 m^3 #--Step 2: Remaining potential discharge, end of first year Tend = 7.5 * days_per_month Vt_end_first_year = Vtp_first_year / 10^(Tend/To) #Fetter: 3.5e8 m^3 #--Step 3: Potential groundwater discharge, beginning of second year Qo_second_year = 1000 m^3/s Vtp_second_year = Qo_second_year * To / 2.3026 #Fetter: 7.1e9 m^3 #--Step 4: Groundwater recharge Recharge = Vtp_second_year - Vt_end_first_year #Fetter: 6.8e9 m^3 # **Example 2.12.2: Recharge of Single Event** #--Step 1: Time of end of overland flow #--Note: First make Eqn. 2.5 dimensionally consistent: D = k*A^0.2, where # k = 1.0 and # [units of k] = [units of D] / ([units of A]^0.2) # = days/miles^0.4 Abasin = 235 mile^2 k = 1.0 days/mile^0.4 Dend = k*Abasin^0.2; day #Fetter: 2.98 days #--Step 2: Compute critical time t1 = 45 days tc = 0.2144*t1; days #Fetter: 9.65 days #--Step 3: Calculate G=Gw from Eqn. 2.12 Qa = 5 ft^3/s Qb = 23 ft^3/s Gw = 2*(Qb-Qa)*t1/2.3026; ft^3 #Fetter: 6.08e7 ft^3 #--Step 4: Determine depth of recharge depth = Gw/Abasin; ft #Fetter: 0.00928 ft # **Example 2.14: Stream Discharge** #--Step 1: Calculate velocity #--Note: First make Eqn. 2.18B dimensionally consistent: V = (k/n)*R^(2/3)*S^(1/2) where # k = 1.0 and # [units of k] = [units of V]*[units of n] / (([units of R]^(2/3))*)[units of S]^(1/2)) # = m / s m^(2/3) = m^(1/3)/s Wp = 3.5 ft + 1.5 ft + 1.5 ft Wp = 6.5 ft Area = 3.5 ft * 1.5 ft R = Area/Wp; ft #Fetter: 0.808 ft S = 1.5/500 k = 1.0 m^(1/3)/s n = 0.012 Vel = k*R^(2/3)*S^(1/2)/n; ft/s #Fetter: 5.9 ft/s Q = Vel*Area; ft^3/s #Fetter: 31.0 ft^3/s # Homework Problems: TBD