Lampiran 4. Perhitungan nilai kerapatan massa, kerapatan partikel dan porositas tanah Bagian saluran BTKO (gr) Volume Total (cm3) Volume Partikel (cm3) Bulk Density (gr/cm3) Particle Density (gr/cm3) Porositas (%) Dalam 217,11 192,325 120 1,13 2,71 58,30 Tepi kanan 193,11 192,325 125 1,004 2,57 60,93 Tepi kiri 207,11 192,325 120 1,07 2,58 58,52 Dimana:
BTKO = Berat tanah kering oven (massa tanah kering) Volume total = volume ring sample = π
= (3,14)(3,5 cm)2(5 cm) = 192,325 cm3
Dalam saluran
Kerapatan Massa (Bulk Density) Ms = 217,11 gr
Bd = MsVt
= 192,325 217 ,11gr/cm3 = 1,13 gr/cm3
Tepi kanan saluran
Kerapatan Massa (Bulk Density) Ms = 193,11 gr
Bd = MsVt
Tepi kiri saluran Ms = 207,11 gr Bd = MsVt
= 192,325 207 ,11 gr/cm3 = 1,07 gr/cm3 Dalam saluran
Kerapatan Partikel (Particel density) Berat Tanah = 217,11 gr
Volume Tanah = 190 ml
Volume Air = 200 ml
Volume Air Tanah = 270 ml Pd = (volume tanah −volume pori )berat tanah
Volume Ruang Pori = (volume air + volume tanah)- volume air tanah Volume Ruang Pori = (200ml+190ml) – 270 ml
= 120 ml Pd = (200−130)217,11
= 2,71gr/cm3 Tepi kanan saluran
Kerapatan Partikel (Particel Density) Berat Tanah = 193,11 gr
Volume Tanah = 190 ml
Volume Air = 200 ml
Volume Air Tanah = 265 ml Pd = (volume tanah −volume pori )berat tanah
Volume Ruang Pori = (volume air + volume tanah)- volume air tanah Volume Ruang Pori = (200ml+190ml) – 265 ml
= 125 ml Pd = (200−125)193,11
= 2,57 gr/cm3 Tepi kiri saluran
Kerapatan Partikel (Particel Density) Berat Tanah = 207,11 gr
Volume Tanah = 200 ml
Volume Air = 200 ml
Volume Air Tanah = 280 ml Pd = (volume tanah −volume pori )berat tanah
Volume Ruang Pori = (volume air + volume tanah)- volume air tanah Volume Ruang Pori = (200ml+200ml) – 280 ml
= 120 ml Pd = (200−120)207,11 = 2,58 gr/cm3 Porositas Dalam saluran Porositas = (1- Bd Pd ) x 100% = (1- 1,132,71 ) x 100% = 58,30%
Tepi kanan saluran Porositas = (1- Bd
Pd ) x 100%
= (1- 1,0042,57 ) x 100% = 60,93%
Tepi kiri saluran Porositas = (1- Bd
Pd ) x 100%
= (1- 1,072,58 ) x 100% = 58,52%
Lampiran 5. Perhitungan evaporasi
Hari ke - Penurunan tinggi air pada evapopan
(mm/hari) I 4 II 5 III 5 IV 5 V 5 VI 7 VII 6 Rata – rata 5,28 Penyelesaian : E = k x Ep K = 0,8 Ep = 4,71 mm/hari Jadi, E = k x Ep = 0,8 x 5,28 = 4, 224 mm/hari
Lampiran 6. Perhitungan debit dan koefisien rembesan Komponen kehilangan air Ulangan Volume (ml) Waktu (s) Debit (ml/s) Koefisien rembesan (mm/hari) Rataan koefisien (mm/hari) Perkolasi I 3220 60 53,67 8830,08 8925,12 II 3300 61 54,09 8899,2 III 3410 62 55 9046,08 Rembesan kanan I 1850 60 30,83 63123,84 64313,28 II 1930 61 31,63 64756,8 III 1970 62 31,77 65059,2 Rembesan kiri I 1700 60 28,33 58026,24 60062,4 II 1790 61 29,34 60082,56 III 1880 62 30,32 76705,92 Debit
1. Dasar saluran (perkolasi) Ulangan I Diketahui : V = 3220 ml t = 60 detik Penyelesaian : Q = V/t = 3220 𝑚𝑚𝑚𝑚 60 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 53,67 ml / detik Ulangan II Diketahui : V = 3300 ml t = 61 detik Penyelesaian : Q = V/ t = 3300 𝑚𝑚𝑚𝑚 61 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 54,09 ml / detik
Ulangan III Diketahui : V = 3410 ml t = 62 detik Penyelesaian : Q = V/ t = 3410 𝑚𝑚𝑚𝑚 62 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 55 ml / detik
2. Dinding kanan saluran Ulangan I Diketahui : V = 1850 ml t = 60 detik Penyelesaian : Q = V/ t = 1850 𝑚𝑚𝑚𝑚 60 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 30,83 ml / detik Ulangan II Diketahui : V = 1930 ml t = 61 detik Penyelesaian : Q = V/ t = 1930 𝑚𝑚𝑚𝑚 61𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 31,63 ml / detik
Ulangan III Diketahui : V = 1970 ml t = 62 detik Penyelesaian : Q = V/ t = 1970 𝑚𝑚𝑚𝑚 62 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 31,77 ml / detik
3. Dinding kiri saluran Ulangan I Diketahui : V = 1700 ml t = 60 detik Penyelesaian : Q = V/ t = 1700 𝑚𝑚𝑚𝑚 60 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 28,33 ml / detik Ulangan II Diketahui : V = 1790 ml t = 61 detik Penyelesaian : Q = V/ t = 1790 𝑚𝑚𝑚𝑚 61𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 29,34 ml / detik
Ulangan III Diketahui : V = 1880 ml t = 62 detik Penyelesaian : Q = V/ t = 1880 𝑚𝑚𝑚𝑚 62𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 = 30,32 ml / detik Koefisien rembesan
1. Dasar saluran (perkolasi) Ulangan I Diketahui : Q = 53, 67 ml / detik L = 20 cm h = H1 + L = 15 + 20 = 35 cm A = 20 cm x 150 cm Penyelesaian : k = 𝑞𝑞𝐿𝐿 ℎ𝐴𝐴 = 53,67 𝑑𝑑 10−6 𝑚𝑚3/ 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,30 % 35 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 150 𝑑𝑑 10−2𝑚𝑚 = 5,959 x 10-5 m / detik = 5,959 x 10-5 x 1000 x 86400 = 5148,576 mm/hari
Ulangan II Diketahui : Q = 54,09 ml / detik L = 20 cm h = H1 + L = 15 + 20 = 35 cm A = 20 cm x 150 cm Penyelesaian : k = 𝑞𝑞𝐿𝐿 ℎ𝐴𝐴 = 54,09 𝑑𝑑 10−6 𝑚𝑚3/ 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,30 % 35 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 150 𝑑𝑑 10−2𝑚𝑚 = 6,006 x 10-5 m / detik = 6,006 x 10-5 x 1000 x 86400 = 5189,184 mm/hari Ulangan III Diketahui : Q = 55 ml / detik L = 20 cm h = H1 + L = 15 + 20 = 35 cm A = 20 cm x 150 cm Penyelesaian : k = 𝑞𝑞𝐿𝐿 ℎ𝐴𝐴 = 55 𝑑𝑑 10−6 𝑚𝑚3/ 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,30 % 35 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 20 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 150 𝑑𝑑 10−2𝑚𝑚
= 6,107 x 10-5 m / detik = 6,107 x 10-5 x 1000 x 86400 = 5276,448 mm/hari
2. Dinding/tebing kanan saluran Ulangan I
Diketahui : Q = 30,83 ml / detik
q = debit per satuan panjang dinding/tebing saluran = 30,83 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 150 𝑑𝑑 10−2 𝑚𝑚 = 2,055 x 10-5 m3/m.detik d = 40 cm H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 2,055 𝑑𝑑 10−5 𝑚𝑚3/𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 60,93 % (15 𝑑𝑑 10−2)2 𝑚𝑚2 = 4,451 x 10-4 m / detik = 4,451 x 10-4 x 1000 x 86400 = 38456,64 mm/hari Ulangan II Diketahui : Q = 31,63 ml / detik
q = debit per satuan panjang dinding/tebing saluran = 31,63 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘
150 𝑑𝑑 10−2 𝑚𝑚
H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 2,108 𝑑𝑑 10−5 𝑚𝑚3/𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 60,93 % (15 𝑑𝑑 10−2)2 𝑚𝑚2 = 4,566 x 10-4 m / detik = 4,566 x 10-4 x 1000 x 86400 = 39450,24 mm/hari Ulangan III Diketahui : Q = 31,77 ml / detik
q = debit per satuan panjang dinding/tebing saluran = 31,77 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 150 𝑑𝑑 10−2 𝑚𝑚 = 2,118 x 10-5 m3/m.detik d = 40 cm H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 2,118 𝑑𝑑 10−5 𝑚𝑚3/ 𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 60,93 % (15 𝑑𝑑 10−2)2 𝑚𝑚2 = 4,588 x 10-4 m / detik = 4,588 x 10-4 x 1000 x 86400 = 39640,32 mm/hari
3. Dinding/tebing kiri saluran Ulangan I
q = debit per satuan panjang dinding/tebing saluran = 28,33 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 150 𝑑𝑑 10−2 𝑚𝑚 = 1,889 x 10-5 m3/m.detik d = 40 cm H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 1,889 𝑑𝑑 10−5 𝑚𝑚3/𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,52 % (15 𝑑𝑑 10−2)2 𝑚𝑚2 = 3,930 x 10-4 m / detik = 3,930 x 10-4 x 1000 x 86400 = 33955,2 mm/hari Ulangan II Diketahui : Q = 29,34 ml / detik
q = debit per satuan panjang dinding/tebing saluran = 29,34 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 150 𝑑𝑑 10−2 𝑚𝑚 = 1,956 x 10-5 m3/m.detik d = 40 cm H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 1,956 𝑑𝑑 10−5 𝑚𝑚3/ 𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,52 % (15 𝑑𝑑 10−2)2 𝑚𝑚2
= 4,069 x 10-4 x 1000 x 86400 = 35156,16 mm/hari
Ulangan III
Diketahui : Q = 37, 46 ml / detik
q = debit per satuan panjang dinding/tebing saluran = 30,32 𝑑𝑑 10−6𝑚𝑚3/𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 150 𝑑𝑑 10−2 𝑚𝑚 = 2, 021 x 10-5 m3/m.detik d = 40 cm H1 = 15 cm Penyelesaian : k = 𝑞𝑞2𝑑𝑑 𝐻𝐻12 = 2,497𝑑𝑑 10−5 𝑚𝑚3/𝑚𝑚.𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑘𝑘 𝑑𝑑 2 𝑑𝑑 40 𝑑𝑑 10−2 𝑚𝑚 𝑑𝑑 58,52 % (15 𝑑𝑑 10−2)2 𝑚𝑚2 = 4,205 x 10-4 m / detik = 4,205 x 10-4 x 1000 x 86400 = 36331,2 mm/hari
Lampiran 7. Gambar
1. Pengisian tanah pada saluran
3. Tinggi air dalam saluran konstan 15 cm