5. uji akuifer metode theiss jacob dll

PENGUJIAN AKUIFERMetode TheisMetode Cooper JacobMetode Recovery Cooper - Jacob

Pengujian akuifer dilakukan pada aliran tak tunak (unsteady flow) radial. Aliran jenis terjadi pada saat pemompaan sumur artesis berlangsung sampai tercapai kondisi tunak dan saat pemompaan hihentikan / periode pemulihan (recovery)Pers. Aliran tak tunak 3-D untuk akuifer homogen dan isotropik dengan koordinat radial adalah :dimana : S = Koefisien tampungan T = Transmisivitas hidraulis (m2/hari)..(1)

Metode TheisTheis memberikan penyelesaian pers. (1) untuk luas akuifer :dimana :..(2)..(3)W(u)Fungsi sumur (Well Function)Fungsi sumur, W(u) dapat dihitung dengan pers. :

Atau secara umum dapat ditulis sbb :..(4)Pers. (3) :dapat juga ditulis sbb :Jika pers. (2) dibagi pers. (5) diperoleh :..(6)..(5)

Dari pers. (11) dapat disimpulkan bahwa :Maka kurva hubungan antara s r2/t dan kurva W(u) u mempunyai bentuk yang sama atau dapat berimpit.

Kurva Hubungan W(u) dan u

Chart3

22.44865093

21.7555037496

21.3500386416

21.0623565692

20.839213018

20.6568914613

20.5027407816

20.3692093891

20.2514263535

20.1460658379

19.4529186584

19.0474535513

18.7597714798

18.5366279295

18.3543063737

18.2001556949

18.0666243033

17.9488412686

17.843480754

17.1503335834

16.7448684853

16.4571864228

16.2340428815

16.0517213347

15.8975706649

15.7640392823

15.6462562566

15.540895751

14.8477486704

14.4422836623

14.1546016898

13.9314582385

13.7491367817

13.5949862019

13.4614549093

13.3436719736

13.238311558

12.5451653774

12.1397012693

11.8520201968

11.6288776455

11.4465570887

11.2924074089

11.1588770163

11.0410949806

10.9357354649

10.2425982843

9.8371431761

9.5494711035

9.3263375519

9.1440259948

8.9898853147

8.8563639217

8.7385908856

8.6332403695

7.9401931814

7.5348280608

7.2472459709

7.024202397

6.8419808128

6.6879301004

6.5544986703

6.4368155922

6.331555029

5.6394070989

5.2349407418

4.9482569214

4.7261111235

4.5447868217

4.391632899

4.2590977657

4.1423104921

4.0379452414

3.3547234482

2.9591343889

2.6812793539

2.4679141534

2.295322583

2.1508538452

2.0269566675

1.9187604349

1.8229396233

1.2226662087

0.9056923106

0.7023957393

0.5597890498

0.4543944238

0.3737823409

0.3106067809

0.2601872719

0.2193740741

u

W(u)

Well Function W(u) - u

Chart1

22.44865093

21.7555037496

21.3500386416

21.0623565692

20.839213018

20.6568914613

20.5027407816

20.3692093891

20.2514263535

20.1460658379

19.4529186584

19.0474535513

18.7597714798

18.5366279295

18.3543063737

18.2001556949

18.0666243033

17.9488412686

17.843480754

17.1503335834

16.7448684853

16.4571864228

16.2340428815

16.0517213347

15.8975706649

15.7640392823

15.6462562566

15.540895751

14.8477486704

14.4422836623

14.1546016898

13.9314582385

13.7491367817

13.5949862019

13.4614549093

13.3436719736

13.238311558

12.5451653774

12.1397012693

11.8520201968

11.6288776455

11.4465570887

11.2924074089

11.1588770163

11.0410949806

10.9357354649

10.2425982843

9.8371431761

9.5494711035

9.3263375519

9.1440259948

8.9898853147

8.8563639217

8.7385908856

8.6332403695

7.9401931814

7.5348280608

7.2472459709

7.024202397

6.8419808128

6.6879301004

6.5544986703

6.4368155922

6.331555029

5.6394070989

5.2349407418

4.9482569214

4.7261111235

4.5447868217

4.391632899

4.2590977657

4.1423104921

4.0379452414

3.3547234482

2.9591343889

2.6812793539

2.4679141534

2.295322583

2.1508538452

2.0269566675

1.9187604349

1.8229396233

1.2226662087

0.9056923106

0.7023957393

0.5597890498

0.4543944238

0.3737823409

0.3106067809

0.2601872719

0.2193740741

u

W(u)


Theis

0

No. 7Metode Theis

Diketahui :

Q =1026.32f (s) :2.3

Kurva W(u) - ur =57.89m1600000

uW(u)ts10

1.00E-1022.44865093(menit)(m)

2.00E-1021.75550374960-0.000

3.00E-1021.35003864165670.2502.9684.19E-046.8264

4.00E-1021.06235656926558.5423.0503.49E-047.0150

5.00E-1020.8392130187478.7503.2502.99E-047.4750

6.00E-1020.65689146138418.9073.3452.62E-047.6935

7.00E-1020.50274078169372.3613.4862.33E-048.0178

8.00E-1020.369209389110335.1253.5212.09E-048.0983

9.00E-1020.251426353512279.2713.5921.75E-048.2616

1.00E-0920.146065837914239.3753.6271.50E-048.3421

2.00E-0919.452918658416209.4533.7331.31E-048.5859

3.00E-0919.047453551318186.1813.7681.16E-048.6664

4.00E-0918.759771479820167.5633.8361.05E-048.8228

5.00E-0918.536627929525134.0503.8738.38E-058.9079

6.00E-0918.354306373730111.7084.0146.98E-059.2322

7.00E-0918.20015569493595.7504.0305.98E-059.2690

8.00E-0918.06662430334083.7814.0435.24E-059.2989

9.00E-0917.94884126864574.4724.2614.65E-059.8003

1.00E-0817.8434807545067.0254.2614.19E-059.8003

2.00E-0817.15033358345560.9324.1903.81E-059.6370

3.00E-0816.74486848536055.8544.2023.49E-059.6646Tools - Goal Seak

4.00E-0816.45718642287047.8754.2142.99E-059.6922

5.00E-0816.23404288158041.8914.2262.62E-059.7198

6.00E-0816.05172133479037.2364.2262.33E-059.7198

7.00E-0815.897570664910033.5134.3002.09E-059.8900

8.00E-0815.764039282312027.9274.4021.75E-0510.12462.3f (s)

9.00E-0815.646256256615022.3424.5001.40E-0510.35001,600,000

1.00E-0715.54089575118018.6184.6831.16E-0510.7709

2.00E-0714.84774867041.3407Minimum

3.00E-0714.4422836623

4.00E-0714.1546016898

5.00E-0713.9314582385

6.00E-0713.7491367817

7.00E-0713.5949862019

8.00E-0713.4614549093

9.00E-0713.3436719736

1.00E-0613.238311558

2.00E-0612.5451653774

3.00E-0612.1397012693

4.00E-0611.8520201968

5.00E-0611.6288776455

6.00E-0611.4465570887

7.00E-0611.2924074089

8.00E-0611.1588770163

9.00E-0611.0410949806W(u) =9s =9 / 2,3 =3.913W(u) / s=2.3

1.00E-0510.9357354649u1.E-04r2/t =160u / r2/t=0.000000625

2.00E-0510.2425982843

3.00E-059.8371431761

4.00E-059.5494711035Sehingga :

5.00E-059.3263375519

6.00E-059.1440259948T=187.85

7.00E-058.9898853147

8.00E-058.8563639217S=3.26E-07

9.00E-058.7385908856

1.00E-048.6332403695

2.00E-047.9401931814

3.00E-047.5348280608

4.00E-047.2472459709

5.00E-047.024202397

6.00E-046.8419808128

7.00E-046.6879301004

8.00E-046.5544986703

9.00E-046.4368155922

1.00E-036.331555029

2.00E-035.6394070989

3.00E-035.2349407418

4.00E-034.9482569214

5.00E-034.7261111235

6.00E-034.5447868217

7.00E-034.391632899

8.00E-034.2590977657

9.00E-034.1423104921

1.00E-024.037945241422

2.00E-023.3547234482

3.00E-022.9591343889

4.00E-022.6812793539

5.00E-022.4679141534

6.00E-022.295322583

7.00E-022.1508538452

8.00E-022.0269566675

9.00E-021.9187604349

1.00E-011.8229396233

2.00E-011.2226662087

3.00E-010.9056923106

4.00E-010.7023957393

5.00E-010.5597890498

6.00E-010.4543944238

7.00E-010.3737823409

8.00E-010.3106067809

9.00E-010.2601872719

1.00E+000.2193740741

X

s"

4.19E-047.20108164616.82640.1403863359

3.49E-047.38333339867.01500.1356694925

2.99E-047.53743421667.47500.0038980314

2.62E-047.67092821217.69350.0005094856

2.33E-047.78868216078.01780.0524949843

2.09E-047.89401940638.09830.041730561

1.75E-048.07630605768.26160.0343338451

1.50E-048.23043180458.34210.0124697859

1.31E-048.36394449738.58590.0492642452

1.16E-048.48171298858.66640.0341092922

1.05E-048.58706186858.82280.0555724667

8.38E-058.81018447548.90790.0095483237

6.98E-058.99249206929.23220.0574598921

5.98E-059.14663277549.26900.0149737377

5.24E-059.28015668789.29890.0003513118

4.65E-059.39793390549.80030.1618984741

4.19E-059.50328976679.80030.0882150787

3.81E-059.59859613839.63700.0014748566

3.49E-059.68560434189.66460.0004411824

2.99E-059.83975003479.69220.0217710128

2.62E-059.97327768729.71980.0642509379

2.33E-0510.09105781389.71980.1378323643

2.09E-0510.19641600229.89000.0938907664

1.75E-0510.378734068210.12460.0645841246

1.40E-0510.601874128610.35000.0634405767

1.16E-0510.784193358210.77090.0001767134

Jumlah1.3407minimum

Theis

r2/t

s (m)

Kurva Lapangan r2/t - s

Cooper Jacob

u

W(u)


Recovery

r2/t

s (m)


u - r2/t

W(u) - s


u

W(u)


No. 8Metode Cooper - Jacob

Diketahui :

Q =1081.16

r =59.46m

tlog ts

(menit)-(m)

0.10-1.0000.040

0.25-0.6020.080

0.50-0.3010.130

0.70-0.1550.180

1.000.0000.230

1.400.1460.280

1.900.2790.330

2.330.3670.360

2.800.4470.390

3.360.5260.420

4.000.6020.450

5.350.7280.500

6.800.8330.540

8.300.9190.570

8.700.9400.570

10.001.0000.600

13.101.1170.640

18.001.2550.680

27.001.4310.742

33.001.5190.753

41.001.6130.779Persamaan garis penurunan muka air :s = 0,1378 ln (t) + 0,262

48.001.6810.7930.149375menit0.000001

59.001.7710.819

80.001.9030.855Kemiringan garis (m)0.3172097692

95.001.9780.873

139.002.1430.915

181.002.2580.935

245.002.3890.966=623.823=4.118E-05

300.002.4770.990=0.433

360.002.5561.098

480.002.6811.123

600.002.7781.1570.000034532

728.002.8621.215

830.002.9191.247

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t (menit)

s (m)

Kurva Penurunan Muka Air Tanah

0.04

0.08

0.13

0.18

0.23

0.28

0.33

0.36

0.39

0.42

0.45

0.5

0.54

0.57

0.57

0.6

0.64

0.68

0.742

0.753

0.779

0.793

0.819

0.855

0.873

0.915

0.935

0.966

0.99

1.098

1.123

1.157

1.215

1.247

t (menit)

s (m)


0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t (menit)

s (m)


No. 9Metode Recovery Cooper-Jacob

Diketahui :

Q =1026.32Persamaan garis :s' = 0,1699 ln(t/t') + 0,0282

r =57.89mKemiringan garis (m)0.3912

205.26menit=479.9483225214

t't/t'log (t/t')s'

(menit)(m)

1206.2602.3140.89

2103.6302.0150.81

369.4201.8410.76

542.0521.6240.68

730.3231.4820.64

1021.5261.3330.56

1514.6841.1670.49

2011.2631.0520.45

307.8420.8940.38

406.1320.7880.34

604.4210.6460.28

803.5660.5520.24

1003.0530.4850.21

1402.4660.3920.17

1802.1400.3300.14

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t/t'

s' (m)

Kurva Recovery s' dan t/t'

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t/t'

s' (m)


MBD00030A96.unknown

MBD0002F36A.unknown

Contoh soal :Sebuah sumur pompa menembus aquifer tekan dan dipompa dengan debit konstan Q = 1026,32 m3/hari. Selama waktu pemompaan ini, pada sebuah sumur pengamatan yang berjarak r = 57,89 m dari sumur pompa diamati penurunan muka airnya yang disajikan dalam Tabel 1. Hitung nilai Transmisivitas (T) dan koefisien tampungan (S) dari aquifer tersebut dengan Metode Theis.

Tabel 1. Penurunan muka air di sumur pengamatan

Penyelesaian : Diketahui Q = 1026,32 m3/hariR = 57,89 m

Selanjutnya kurva s r2/t digambarkan pada kurva W(u) u :s - r2/t W(u) - uDari kurva di atas, ternyata 2 kurva tsb belum berimpit karena nilai r2/t > u sedangkan s < W(u)u r2/t

agar kurva berimpit, maka dengan coba-coba diperoleh nilai r2/t dibagi 106 sedangkan nilai s dikalikan 2,3

Sehingga :untuk sebuah titik sembarang pada kurva yang berimpit, misalnya Titik A dengan nilai W(u) = 10 dan u = 1.10-4 maka nilai s = 10/2,3 = 4,348 m dan r2/t = 1.10-4 x 106 = 102 m2/menit = 144000 m2/hari= 187,829 m2/hari= 5,217.10-7

METODE COOPER - JACOBMetode ini umumnya dikenal dengan nama Metode JacobMerupakan penurunan dari Metode TheisDigunakan untuk nilai u kecil (u

Persamaannya :

jadi :Dalam bentuk log dapat dituliskan sebagai :Pada waktu t = to, penurunan muka airtanah s = 0, maka :

Maka :Selisih dua pengukuran penurunan muka airtanah (s) :

Jika nilai :maka :Sehingga :

Langkah-langkah perhitungan :1. Dari data pemompaan (hubungan antara s dan t) dibuat kurva linier dengan s sebagai sumbu Y dan t sebagai sumbu X,2. Kurva memotong sumbu X, diperoleh to3. Hitung s dengan mengambil nilai t2 = 10.t1. Misalnya t1 = 1 s = s1t2 = 10 s = s24. Hitung nilai T dengan rumus :

5. Hitung nilai S dengan rumus :s = s2 s1

Contoh Soal :Sebuah sumur pompa menembus aquifer tekan dan dipompa dengan debit konstan Q (m3/hari). Selama waktu pemompaan ini, pada sebuah sumur pengamatan yang berjarak r (m) dari sumur pompa diamati penurunan muka airnya yang disajikan dalam tabel 3.1 dan 3.2. Hitung nilai Transmisivitas (T) dan koefisien tampungan (S) dari aquifer tersebut dengan Metode Cooper Jacob (Jacob I). Jika diketahui tebal aquifer tekan (D) adalah 15 m, hitung nilai Konduktivitas Hidraulis (K) dari aquifer tersebut.

Tabel 2. Penurunan muka air di sumur pengamatan

Kurva Penurunan Muka Airtanah Metode Jacob

Dari kurva di atas dapat disimpulkan bahwa :

METODE RECOVERY COOPER - JACOBMemanfaatkan data pemulihan muka air sumur setelah pemompaan dihentikan,Besarnya penurunan (s) diukur dari elevasi muka airtanah sebelum pemompaan, disebut Penurunan ResidualDigunakan untuk menghitung nilai T sebagai pembanding nilai T yang diperoleh dari tes pemompaan awal.

Grafik Recovery Cooper-Jacob:PemompaanPemulihanttsst-henti

Penurunan Residual (s) dapat dihitung dengan anggapan pemompaan diteruskan pada sumur dengan debit Q, dan sejak t henti dioperasikan pemompaan pada sumur dengan debit Q (dimana Q Q = 0 artinya pemompaan dihentikan)Selanjutnya t = t henti + t

- Persamaannya :Pompa semulaPompa baru

Dalam bentuk lain dapat ditulis :atau :sehingga :

Nilai T diperoleh pada :Sehingga :

Langkah-langkah perhitungan :1. Dari data pemompaan (hubungan antara s dan t) dibuat kurva linier dengan s sebagai sumbu Y dan t sebagai sumbu X,2. Hitung s dengan mengambil nilai t2 = 10.t1. Misalnya t1 = 1 s = s1t2 = 10 s = s2

4. Hitung nilai T dengan rumus :s = s2 s1

Contoh Soal :Sebuah sumur menembus aquifer tekan dipompa dengan debit konstan Q=106,32 m3/hari selama 205,26 menit. Setelah pemompaan dihentikan, pada sebuah sumur pengamatan yang berjarak r = 57,89 m dari sumur pompa diamati perubahan muka airnya yang disajikan dalam tabel berikut. Hitung nilai Transmisivitas (T) dari aquifer tersebut dengan Metode Recovery Cooper-Jacob. Jika diketahui tebal aquifer tekan (D) adalah 15 m, hitung nilai Konduktivitas Hidraulis (K) dari aquifer tersebut.

t = t henti + t = 205,26 + tDari grafik recovery Cooper-Jacob dapat disimpulkan bahwa nilai t merupakan akumulasi dari saat pemompaan dimulai sehingga dalam bentuk persamaan dapat ditulis sebagai : Penyelesaian :Untuk nilai t = 1 maka : t = 205,26 + 1 = 206,26 menit dan t/t = 206,26/1 = 206,26Selanjutnya hitungan ditabelkan.

Tabel analisa t/t dan s metode Recovery Cooper-Jacob :

Ds = 0,39109

Chart2

0.89

0.81

0.76

0.68

0.64

0.56

0.49

0.45

0.38

0.34

0.28

0.24

0.21

0.17

0.14

t/t'

s' (m)


Chart1

22.44865093

21.7555037496

21.3500386416

21.0623565692

20.839213018

20.6568914613

20.5027407816

20.3692093891

20.2514263535

20.1460658379

19.4529186584

19.0474535513

18.7597714798

18.5366279295

18.3543063737

18.2001556949

18.0666243033

17.9488412686

17.843480754

17.1503335834

16.7448684853

16.4571864228

16.2340428815

16.0517213347

15.8975706649

15.7640392823

15.6462562566

15.540895751

14.8477486704

14.4422836623

14.1546016898

13.9314582385

13.7491367817

13.5949862019

13.4614549093

13.3436719736

13.238311558

12.5451653774

12.1397012693

11.8520201968

11.6288776455

11.4465570887

11.2924074089

11.1588770163

11.0410949806

10.9357354649

10.2425982843

9.8371431761

9.5494711035

9.3263375519

9.1440259948

8.9898853147

8.8563639217

8.7385908856

8.6332403695

7.9401931814

7.5348280608

7.2472459709

7.024202397

6.8419808128

6.6879301004

6.5544986703

6.4368155922

6.331555029

5.6394070989

5.2349407418

4.9482569214

4.7261111235

4.5447868217

4.391632899

4.2590977657

4.1423104921

4.0379452414

3.3547234482

2.9591343889

2.6812793539

2.4679141534

2.295322583

2.1508538452

2.0269566675

1.9187604349

1.8229396233

1.2226662087

0.9056923106

0.7023957393

0.5597890498

0.4543944238

0.3737823409

0.3106067809

0.2601872719

0.2193740741

u

W(u)


Theis

0

No. 7Metode Theis

Diketahui :

Q =1026.32f (s) :2.3

Kurva W(u) - ur =57.89m1600000

uW(u)ts10

1.00E-1022.44865093(menit)(m)

2.00E-1021.75550374960-0.000

3.00E-1021.35003864165670.2502.9684.19E-046.8264

4.00E-1021.06235656926558.5423.0503.49E-047.0150

5.00E-1020.8392130187478.7503.2502.99E-047.4750

6.00E-1020.65689146138418.9073.3452.62E-047.6935

7.00E-1020.50274078169372.3613.4862.33E-048.0178

8.00E-1020.369209389110335.1253.5212.09E-048.0983

9.00E-1020.251426353512279.2713.5921.75E-048.2616

1.00E-0920.146065837914239.3753.6271.50E-048.3421

2.00E-0919.452918658416209.4533.7331.31E-048.5859

3.00E-0919.047453551318186.1813.7681.16E-048.6664

4.00E-0918.759771479820167.5633.8361.05E-048.8228

5.00E-0918.536627929525134.0503.8738.38E-058.9079

6.00E-0918.354306373730111.7084.0146.98E-059.2322

7.00E-0918.20015569493595.7504.0305.98E-059.2690

8.00E-0918.06662430334083.7814.0435.24E-059.2989

9.00E-0917.94884126864574.4724.2614.65E-059.8003

1.00E-0817.8434807545067.0254.2614.19E-059.8003

2.00E-0817.15033358345560.9324.1903.81E-059.6370

3.00E-0816.74486848536055.8544.2023.49E-059.6646Tools - Goal Seak

4.00E-0816.45718642287047.8754.2142.99E-059.6922

5.00E-0816.23404288158041.8914.2262.62E-059.7198

6.00E-0816.05172133479037.2364.2262.33E-059.7198

7.00E-0815.897570664910033.5134.3002.09E-059.8900

8.00E-0815.764039282312027.9274.4021.75E-0510.12462.3f (s)

9.00E-0815.646256256615022.3424.5001.40E-0510.35001,600,000

1.00E-0715.54089575118018.6184.6831.16E-0510.7709

2.00E-0714.84774867041.3407Minimum

3.00E-0714.4422836623ts

4.00E-0714.1546016898(menit)(m)

5.00E-0713.93145823853595.7504.0301

6.00E-0713.74913678174083.7814.0432

7.00E-0713.59498620194574.4724.2613

8.00E-0713.46145490935067.0254.2614

9.00E-0713.34367197365560.9324.1905

1.00E-0613.2383115586055.8544.2026

2.00E-0612.54516537747047.8754.2147

3.00E-0612.13970126938041.8914.2268

4.00E-0611.85202019689037.2364.2269

5.00E-0611.628877645510033.5134.30010

6.00E-0611.446557088712027.9274.40211

7.00E-0611.292407408915022.3424.50012

8.00E-0611.158877016318018.6184.68313

9.00E-0611.041094980614W(u) =9s =9 / 2,3 =3.913W(u) / s=2.3

1.00E-0510.935735464915u1.E-04r2/t =160u / r2/t=0.000000625

2.00E-0510.242598284316

3.00E-059.837143176117

4.00E-059.549471103518Sehingga :

5.00E-059.326337551919

6.00E-059.144025994820T=187.85

7.00E-058.989885314721

8.00E-058.856363921722S=3.26E-07

9.00E-058.738590885623

1.00E-048.633240369524

2.00E-047.940193181425

3.00E-047.534828060826

4.00E-047.247245970927

5.00E-047.024202397

6.00E-046.8419808128

7.00E-046.6879301004

8.00E-046.5544986703

9.00E-046.4368155922

1.00E-036.331555029

2.00E-035.6394070989

3.00E-035.2349407418

4.00E-034.9482569214

5.00E-034.7261111235

6.00E-034.5447868217

7.00E-034.391632899

8.00E-034.2590977657

9.00E-034.1423104921

1.00E-024.037945241422

2.00E-023.3547234482

3.00E-022.9591343889

4.00E-022.6812793539

5.00E-022.4679141534

6.00E-022.295322583

7.00E-022.1508538452

8.00E-022.0269566675

9.00E-021.9187604349

1.00E-011.8229396233

2.00E-011.2226662087

3.00E-010.9056923106

4.00E-010.7023957393

5.00E-010.5597890498

6.00E-010.4543944238

7.00E-010.3737823409

8.00E-010.3106067809

9.00E-010.2601872719

1.00E+000.2193740741

X

s"

4.19E-047.20108164616.82640.1403863359

3.49E-047.38333339867.01500.1356694925

2.99E-047.53743421667.47500.0038980314

2.62E-047.67092821217.69350.0005094856

2.33E-047.78868216078.01780.0524949843

2.09E-047.89401940638.09830.041730561

1.75E-048.07630605768.26160.0343338451

1.50E-048.23043180458.34210.0124697859

1.31E-048.36394449738.58590.0492642452

1.16E-048.48171298858.66640.0341092922

1.05E-048.58706186858.82280.0555724667

8.38E-058.81018447548.90790.0095483237

6.98E-058.99249206929.23220.0574598921

5.98E-059.14663277549.26900.0149737377

5.24E-059.28015668789.29890.0003513118

4.65E-059.39793390549.80030.1618984741

4.19E-059.50328976679.80030.0882150787

3.81E-059.59859613839.63700.0014748566

3.49E-059.68560434189.66460.0004411824

2.99E-059.83975003479.69220.0217710128

2.62E-059.97327768729.71980.0642509379

2.33E-0510.09105781389.71980.1378323643

2.09E-0510.19641600229.89000.0938907664

1.75E-0510.378734068210.12460.0645841246

1.40E-0510.601874128610.35000.0634405767

1.16E-0510.784193358210.77090.0001767134

Jumlah1.3407minimum

Theis

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

r2/t

s (m)


Cooper Jacob

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

u

W(u)


Recovery

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

r2/t

s (m)


00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

u - r2/t

W(u) - s


0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

u

W(u)


No. 8Metode Cooper - Jacob

Diketahui :

Q =1081.16

r =59.46m

tlog ts

(menit)-(m)

0.10-1.0000.0401

0.25-0.6020.0802

0.50-0.3010.1303

0.70-0.1550.1804

1.000.0000.2305

1.400.1460.2806

1.900.2790.3307

2.330.3670.3608

2.800.4470.3909

3.360.5260.42010

4.000.6020.45011

5.350.7280.50012

6.800.8330.54013

8.300.9190.57014

8.700.9400.57015

10.001.0000.60016

13.101.1170.64017

18.001.2550.68018

27.001.4310.74219

33.001.5190.75320

41.001.6130.77921Persamaan garis penurunan muka air :s = 0,1378 ln (t) + 0,262

48.001.6810.793220.149375menit0.000001

59.001.7710.81923

80.001.9030.85524Kemiringan garis (m)0.3172097692

95.001.9780.87325

139.002.1430.91526

181.002.2580.93527

245.002.3890.96628=623.823=4.118E-05

300.002.4770.99029=0.433

360.002.5561.09830

480.002.6811.12331

600.002.7781.157320.000034532

728.002.8621.21533

830.002.9191.24734

tlog ts

(menit)-(m)

18.001.2550.680

27.001.4310.742

33.001.5190.753

41.001.6130.779

48.001.6810.793

59.001.7710.819

80.001.9030.855

95.001.9780.873

139.002.1430.915

181.002.2580.935

245.002.3890.966

300.002.4770.990

360.002.5561.098

480.002.6811.123

600.002.7781.157

728.002.8621.215

830.002.9191.247

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t (menit)

s (m)


0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t (menit)

s (m)


0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

t (menit)

s (m)


No. 9Metode Recovery Cooper-Jacob

Diketahui :

Q =1026.32Persamaan garis :s' = 0,1699 ln(t/t') + 0,0282

r =57.89mKemiringan garis (m)0.3912

205.26menit=479.9483225214

t't/t'log (t/t')s'

(menit)(m)

1206.2602.3140.89

2103.6302.0150.81

369.4201.8410.76

542.0521.6240.68

730.3231.4820.64

1021.5261.3330.56

1514.6841.1670.49

2011.2631.0520.45

307.8420.8940.38

406.1320.7880.34

604.4210.6460.28

803.5660.5520.24

1003.0530.4850.21

1402.4660.3920.17

1802.1400.3300.14

t/t'

s' (m)


t/t'

s' (m)


MBD00030A96.unknown

MBD0002F36A.unknown

5. uji akuifer metode theiss jacob dll

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