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