Data-data:Debit tetap , Q = 1080 m3/hari
200 m
DATA
t (menit) log t
0.00 0.00 -1.00 0.15 0.00002.00 0.40 0.30103.00 0.68 0.47714.00 0.78 0.60215.00 1.02 0.69906.00 1.08 0.77828.00 1.30 0.9031
10.00 1.42 1.000012.00 1.52 1.079215.00 1.65 1.176118.00 1.76 1.255321.00 1.82 1.322224.00 1.88 1.380227.00 1.92 1.431430.00 1.98 1.477135.00 2.04 1.544140.00 2.06 1.602145.00 2.09 1.653250.00 2.15 1.699060.00 2.21 1.778280.00 2.32 1.9031
100.00 2.36 2.0000120.00 2.45 2.0792150.00 2.52 2.1761180.00 2.58 2.2553240.00 2.61 2.3802300.00 2.68 2.4771360.00 2.70 2.5563
Gradien garis , m = 1.0308Titik potong , b = 0.3184
Menentukan nilai m dan b dengan rumus regresi
x y xy0.0000 0.15 0 0.0000 39.9856 b = 0.3183830.3010 0.40 0.120411998 0.0906 Σy = 50.13 m = 1.0307530.4771 0.68 0.324442453 0.2276 Σxy = 84.29860.6021 0.78 0.469606793 0.3625 69.43260.6990 1.02 0.712949404 0.48860.7782 1.08 0.84040335 0.60550.9031 1.30 1.174016983 0.81561.0000 1.42 1.42 1.00001.0792 1.52 1.640355494 1.16461.1761 1.65 1.940550577 1.38321.2553 1.76 2.209279609 1.57571.3222 1.82 2.406439116 1.74831.3802 1.88 2.594797134 1.90501.4314 1.92 2.748218427 2.04881.4771 1.98 2.924700084 2.18191.5441 2.04 3.14989881 2.38411.6021 2.06 3.300243582 2.56661.6532 2.09 3.455214154 2.73311.6990 2.15 3.652785509 2.88651.7782 2.21 3.929714263 3.16181.9031 2.32 4.41516877 3.62182.0000 2.36 4.72 4.00002.0792 2.45 5.093994053 4.32302.1761 2.52 5.483749973 4.73542.2553 2.58 5.818603063 5.08632.3802 2.61 6.212351341 5.66542.4771 2.68 6.638684963 6.13612.5563 2.70 6.902016752 6.5347
Menentukan nilai T dan S
Persamaan garis data = 1,0308 log t + 0,3184
-0.3089
10^(-0,3089)0.4910 menit
Δs = 1.0308 m
T = = = 191.687S = = = 3.68E-06
Jarak dari sumur pompa , r =
Hitungan awal
Penurunan muka air , s (m)
x²Σx =
Σx² =
Pada saat s = 0 , t = t0 ; sehingga 0 = 1,0308*log t0 + 0,3184
Jadi log t0 = -0,3184/1,0308 =
sehingga t0 =t0 =
m²/hari
0.10 1.00 10.00 100.00 1000.000.00
0.50
1.00
1.50
2.00
2.50
3.00
Kurva s(t)
waktu pemompaan t, menit
draw
dow
n s,
met
er
0.00 0.50 1.00 1.50 2.00 2.50 3.000.00
0.50
1.00
1.50
2.00
2.50
3.00f(x) = 1.03075254970003 x + 0.318383055163965
Kurva s vs log t
log t
s
2,3×𝑄/(4𝜋×∆𝑠) 2,3×1080/(4𝜋×1,0308)2,25×𝑇×𝑡_0/𝑟^2 2,25×[191,687/(24×60)]×0,491/〖 200〗 ^2