Perhitungan Curah Hujan Maksimum Wilayah Metode Poligon Thiessen

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4.4 Perhitungan Curah Hujan Maksimum Wilayah Metode Poligon Thiessen

Metode hitungan ini merupakan peralatan perataan hujan daerah menggunakan Metode Poligon Thiessen, dengan faktor pembobot untuk setiap stasiun data luas Daerah Aliran Sungai DAS untuk masing-masing stasiun adalah: Luas DPS Stasiun Silinda = 716.601 Km 2 Luas DPS Stasiun Adolina I = 156.175 Km 2 Luas DPS Stasiun Adolina II = 208.224 Km 2 = 1081 Km 2 Maka faktor pembobot Thiessen untuk masing-masing sebagai berikut: Stasiun Silinda WS = 716.601115 = 0.663 Stasiun Adolina I WA III = 156.175115 = 0.144 Stasiun Adolina II WA II = 208.224115 = 0.193 Dalam perhitungan ini digunakan data hujan harian di setiap pos. dari data hujan harian masing-masing pos, dihitung hujan daerah dengan menggunakan metode Poligon Thiessen yang dapat dilihat pada Tabel 4. 4 sampai Tabel 4.18: Universitas Sumatera Utara 202 Tabel 4.5 Perataan Hujan Metode Thiessen pada tahun 1990 1990 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.19262165 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 61 8.812835338 59 11.36467715 69 45.74048936 65.91800185 Feb 48 6.934690102 46 8.860595745 15.79528585 Mar 18 2.600508788 15 2.889324699 101 66.95346994 72.44330342 Apr 25 3.611817761 46 8.860595745 106 70.26799815 82.74041166 Mei 110 15.89199815 117 22.53673265 108 71.59380944 110.0225402 Jun 21 3.03392692 82 15.79497502 48 31.81947086 50.6483728 Jul 59 8.523889917 73 14.0613802 114 75.57124329 98.15651341 Ags 50 7.223635523 46 8.860595745 30 19.88716929 35.97140056 Sep 160 23.11563367 190 36.59811286 110 72.91962072 132.6333673 Okt 321 46.37574006 229 44.11035708 92 60.98731915 151.4734163 Nop 169 24.41588807 122 23.49984089 59 39.11143293 87.02716189 Des 202 29.18348751 193 37.1759778 80 53.03245143 119.3919167 Universitas Sumatera Utara 203 Tabel 4.6 Perataan Hujan Metode Thiessen pada tahun 1991 1991 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 84 12.13570768 73 14.0613802 54 35.79690472 61.9939926 Feb 103 14.88068918 137 26.38916559 40 26.51622572 67.78608048 Mar 9 1.300254394 24 4.622919519 51 33.80818779 39.7313617 Apr 21 3.03392692 33 6.356514339 45 29.83075393 39.22119519 Mei 149 21.52643386 164 31.58995005 42 27.842037 80.95842091 Jun 170 24.56036078 142 27.35227382 50 33.14528215 85.05791674 Jul 71 10.25756244 93 17.91381314 58 38.44852729 66.61990287 Ags 97 14.01385291 179 34.47927475 48.49312766 Sep 168 24.27141536 178 34.2866531 58.55806846 Okt 215 31.06163275 133 25.618679 56.68031175 Nop 85 12.28018039 152 29.27849029 41.55867068 Des 185 26.72745143 143 27.54489547 54.2723469 Universitas Sumatera Utara 204 Tabel 4.7 Perataan Hujan Metode Thiessen pada tahun 1992 1992 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 6 0.866836263 6 1.15572988 17 11.26939593 13.29196207 Feb 16 2.311563367 25 4.815541166 39 25.85332007 32.98042461 Mar 3 0.433418131 3 0.57786494 42 27.842037 28.85332007 Apr 87 12.56912581 26 5.008162812 55 36.45981036 54.03709898 Mei 179 25.86061517 133 25.618679 53 35.13399907 86.61329325 Jun 119 17.19225254 126 24.27032747 59 39.11143293 80.57401295 Jul 52 7.512580944 45 8.667974098 26 17.23554672 33.41610176 Ags 129 18.63697965 129 24.84819241 54 35.79690472 79.28207678 Sep 216 31.20610546 243 46.80706013 27 17.89845236 95.91161795 Okt 204 29.47243293 222 42.76200555 65 43.08886679 115.3233053 Nop 60 8.668362627 140 26.96703053 69 45.74048936 81.37588252 Des 249 35.9737049 217 41.79889732 62 41.10014986 118.8727521 Universitas Sumatera Utara 205 Tabel 4.8 Perataan Hujan Metode Thiessen pada tahun 1993 1993 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 42 6.067853839 122 23.49984089 47 31.15656522 60.72425994 Feb 61 8.812835338 29 5.586027752 45 29.83075393 44.22961702 Mar 63 9.101780759 100 19.26216466 38 25.19041443 53.55435985 Apr 99 14.30279833 88 16.9507049 41 27.17913136 58.4326346 Mei 82 15.79497502 44 29.16784829 44.96282331 Jun 95 13.72490749 123 23.69246253 29 19.22426364 56.64163367 Jul 76 10.97992599 90 17.3359482 36 23.86460315 52.18047734 Ags 123 23.69246253 47 31.15656522 54.84902775 Sep 220 31.7839963 185 35.63500463 48 31.81947086 99.23847179 Okt 59 8.523889917 129 24.84819241 30 19.88716929 53.25925162 Nop 302 43.63075856 325 62.60203515 54 35.79690472 142.0296984 Des 207 29.90585106 221 42.5693839 49 32.4823765 104.9576115 Universitas Sumatera Utara 206 Tabel 4.9 Perataan Hujan Metode Thiessen pada tahun 1994 1994 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 49 7.079162812 80 15.40973173 13 8.617773358 31.1066679 Feb 55 10.59419056 33 21.87588622 32.47007678 Mar 144 20.80407031 119 22.92197595 65 43.08886679 86.81491304 Apr 138 19.93723404 123 23.69246253 38 25.19041443 68.82011101 Mei 132 19.07039778 159 30.62684181 56 37.122716 86.8199556 Jun 55 7.945999075 15 2.889324699 25 16.57264107 27.40796485 Jul 8 1.155781684 13 2.504081406 63 41.7630555 45.42291859 Ags 169 24.41588807 125 24.07770583 58 38.44852729 86.94212118 Sep 175 25.28272433 142 27.35227382 45 29.83075393 82.46575208 Okt 148 21.38196115 73 14.0613802 65 43.08886679 78.53220814 Nop 347 50.13203053 236 45.4587086 75 49.71792322 145.3086623 Des 58 8.379417206 65 12.52040703 23 15.24682979 36.14665402 Universitas Sumatera Utara 207 Tabel 4.10 Perataan Hujan Metode Thiessen pada tahun 1995 1995 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 5.778908418 40 7.704865865 62 41.10014986 54.58392414 Feb 79 7.945999075 55 10.59419056 29 19.22426364 37.76445328 Mar 52 17.04777983 118 22.7293543 31 20.55007493 60.32720907 Apr 31 0.433418131 3 0.57786494 39 25.85332007 26.86460315 Mei 119 3.32287234 23 4.430297872 20 13.25811286 21.01128307 Jun 66 13.14701665 91 17.52856984 16 10.60649029 41.28207678 Jul 67 1.444727105 10 1.926216466 20 13.25811286 16.62905643 Ags 159 20.37065217 141 27.15965217 38 25.19041443 72.72071878 Sep 148 16.6143617 115 22.15148936 29 19.22426364 57.99011471 Okt 107 18.49250694 128 24.65557077 45 29.83075393 72.97883164 Nop 221 38.14079556 264 50.85211471 92 60.98731915 149.9802294 Des 181 28.46112396 197 37.94646438 91 60.32441351 126.7320019 Universitas Sumatera Utara 208 Tabel 4.11 Perataan Hujan Metode Thiessen pada tahun 1996 1996 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 49 6.50127197 45 8.667974098 38 25.19041443 40.3596605 Feb 30 5.778908418 40 7.704865865 29 19.22426364 32.70803793 Mar 14.73621647 102 19.64740796 40 26.51622572 60.89985014 Apr 103 13.00254394 90 17.3359482 56 37.122716 67.46120814 Mei 149 23.83799722 165 31.78257169 40 26.51622572 82.13679463 Jun 66 17.33672525 120 23.11459759 42 27.842037 68.29335985 Jul 67 13.72490749 95 18.29905643 36 23.86460315 55.88856707 Ags 159 0.577890842 4 0.770486586 62 41.10014986 42.44852729 Sep 112 10.11308973 70 13.48351526 64 42.42596115 66.02256614 Okt 137 20.94854302 145 27.93013876 69 45.74048936 94.61917114 Nop 176 31.63952359 219 42.18414061 73 48.39211193 122.2157761 Des 157 15.1696346 105 20.2252729 60 39.77433858 75.16924607 Universitas Sumatera Utara 209 Tabel 4.12 Perataan Hujan Metode Thiessen pada tahun 1997 1997 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 4 0.866836263 6 1.15572988 49 32.4823765 34.50494265 Feb 199 25.71614246 178 34.2866531 61 40.43724422 100.4400398 Mar 80 20.08170675 139 26.77440888 44 29.16784829 76.02396392 Apr 106 5.923381129 41 7.897487512 62 41.10014986 54.9210185 Mei 144 5.056544866 35 6.741757632 36 23.86460315 35.66290564 Jun 102 2.600508788 18 3.467189639 36 23.86460315 29.93230157 Jul 62 14.59174376 101 19.45478631 62 41.10014986 75.14667993 Ags 138 9.53519889 66 12.71302868 65 43.08886679 65.33709436 Sep 173 33.51766883 232 44.68822202 81 53.69535708 131.9012479 Okt 167 33.37319611 231 44.49560037 82 54.35826272 132.2270592 Nop 190 22.82668825 158 30.43422017 45 29.83075393 83.09166235 Des 170 8.668362627 60 11.5572988 82 54.35826272 74.58392414 Universitas Sumatera Utara 210 Tabel 4.13 Perataan Hujan Metode Thiessen pada tahun 1998 1998 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 50 22.1043247 153 29.47111193 44 29.16784829 80.74328492 Feb 73 0.14447271 1 0.192621647 42 27.842037 28.17913136 Mar 62 1.155781684 8 1.540973173 27 17.89845236 20.59520722 Apr 86 1.155781684 8 1.540973173 38 25.19041443 27.88716929 Mei 149 9.390726179 65 12.52040703 26 17.23554672 39.14667993 Jun 99 10.25756244 71 13.67613691 33 21.87588622 45.80958557 Jul 83 9.101780759 63 12.13516374 45 29.83075393 51.06769843 Ags 158 41.31919519 286 55.08979093 25 16.57264107 112.9816272 Sep 206 22.53774283 156 30.04897687 34 22.53879186 75.12551156 Okt 177 19.07039778 132 25.42605735 45 29.83075393 74.32720907 Nop 201 19.93723404 138 26.58178723 39 25.85332007 72.37234135 Des 104 23.69352451 164 31.58995005 35 23.2016975 78.48517206 Universitas Sumatera Utara 211 Tabel 4.14 Perataan Hujan Metode Thiessen pada tahun 1999 1999 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 137 11.26887142 78 15.02448844 28 18.561358 44.85471785 Feb 182 2.022617946 14 2.696703053 30 19.88716929 24.60649029 Mar 157 1.733672525 12 2.311459759 28 18.561358 22.60649029 Apr 82 2.456036078 17 3.274567993 17 11.26939593 17 Mei 159 4.045235893 28 5.393406105 28 18.561358 28 Jun 102 12.28018039 85 16.37283996 29 19.22426364 47.877284 Jul 65 10.25756244 71 13.67613691 26 17.23554672 41.16924607 Ags 80 9.246253469 64 12.32778538 29 19.22426364 40.7983025 Sep 243 23.11563367 160 30.81946346 31 20.55007493 74.48517206 Okt 36.98501388 256 49.31114154 32 21.21298057 107.509136 Nop 36.26265032 251 48.3480333 28 18.561358 103.1720416 Des 46.9536309 325 62.60203515 30 19.88716929 129.4428353 Universitas Sumatera Utara 212 Tabel 4.15 Perataan Hujan Metode Thiessen pada tahun 2000 2000 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 68 14.73621647 102 19.64740796 52 34.47109343 68.85471785 Feb 109 18.05908881 125 24.07770583 58 38.44852729 80.58532192 Mar 76 20.08170675 139 26.77440888 47 31.15656522 78.01268085 Apr 126 21.52643386 149 28.70062535 58 38.44852729 88.67558649 Mei 189 24.41588807 169 32.55305828 65 43.08886679 100.0578131 Jun 126 20.08170675 139 26.77440888 48 31.81947086 78.67558649 Jul 108 16.32541628 113 21.76624607 42 27.842037 65.93369935 Ags 140 24.12694265 167 32.16781499 59 39.11143293 95.40619056 Sep 188 22.82668825 158 30.43422017 58 38.44852729 91.70943571 Okt 224 33.95108696 235 45.26608696 60 39.77433858 118.9915125 Nop 195 37.2739593 258 49.69638483 49 32.4823765 119.4527206 Des 227 43.19734043 299 57.59387234 65 43.08886679 143.8800796 Universitas Sumatera Utara 213 Tabel 4.16 Perataan Hujan Metode Thiessen pada tahun 2001 2001 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 151 15.89199815 110 21.18838113 35 23.2016975 60.28207678 Feb 5 5.056544866 35 6.741757632 46 30.49365957 42.29196207 Mar 170 29.47243293 204 39.29481591 37 24.52750879 93.29475763 Apr 112 12.71359852 88 16.9507049 29.66430342 Mei 126 15.31410731 106 20.41789454 35.73200185 Jun 66 11.70228955 81 15.60235338 38 25.19041443 52.49505735 Jul 38 10.25756244 71 13.67613691 39 25.85332007 49.78701943 Ags 67 11.26887142 78 15.02448844 42 27.842037 54.13539685 Sep 125 23.40457909 162 31.20470675 38 25.19041443 79.79970028 Okt 301 55.76646623 386 74.3519556 44 29.16784829 159.2862701 Nop 180 27.16086957 188 36.21286957 37 24.52750879 87.90124792 Des 483 55.76646623 386 74.3519556 46 30.49365957 160.6120814 Universitas Sumatera Utara 214 Tabel 4.17 Perataan Hujan Metode Thiessen pada tahun 2002 2002 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 122 19.50381591 135 26.00392229 62 41.10014986 86.60788807 Feb 12 7.945999075 55 10.59419056 26 17.23554672 35.77573636 Mar 18 10.11308973 70 13.48351526 52 34.47109343 58.06769843 Apr 67 44.41467808 44.41467808 Mei 37 24.52750879 24.52750879 Jun 76 50.38082886 50.38082886 Jul 28 18.561358 18.561358 Ags 71 47.06630065 47.06630065 Sep 77 51.04373451 51.04373451 Okt 69 45.74048936 45.74048936 Nop 72 47.72920629 47.72920629 Des 75 49.71792322 49.71792322 Universitas Sumatera Utara 215 Tabel 4.18 Perataan Hujan Metode Thiessen pada tahun 2003 2003 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 110 13.8693802 96 18.49167808 88 58.33569658 90.69675486 Feb 66 4.478654024 31 5.971271045 35 23.2016975 33.65162257 Mar 63 7.945999075 55 10.59419056 53 35.13399907 53.67418871 Apr 121 16.32541628 113 21.76624607 92 60.98731915 99.0789815 Mei 157 15.31410731 106 20.41789454 53 35.13399907 70.86600093 Jun 58 8.090471785 56 10.78681221 19 12.59520722 31.47249121 Jul 154 13.14701665 91 17.52856984 94 62.31313043 92.98871693 Ags 121 21.23748844 147 28.31538205 59 39.11143293 88.66430342 Sep 287 35.25134135 244 46.99968178 90 59.66150786 141.912531 Okt 305 41.4636679 287 55.28241258 62 41.10014986 137.8462303 Nop 220 18.49250694 128 24.65557077 30 19.88716929 63.03524699 Des 125 10.83545328 75 14.4466235 52 34.47109343 59.75317021 Universitas Sumatera Utara 216 Tabel 4.19 Perataan Hujan Metode Thiessen pada tahun 2004 2004 Sta. Adolina Ulu III Sta. Adolina Ulu II Sta. Silinda Rata-rata Thiessen WG = 0.14447271 WK = 0.192621647 WS = 0.662905643 SR R R = WG x R R R = WG x R R R = WG x R mm Jan 136 9.6796716 67 12.90565032 67 44.41467808 67 Feb 67 4.767599445 33 6.356514339 62 41.10014986 52.22426364 Mar 109 15.74752544 109 20.99575948 40 26.51622572 63.25951064 Apr 33 4.767599445 33 6.356514339 44 29.16784829 40.29196207 Mei 141 20.37065217 141 27.15965217 71 47.06630065 94.596605 Jun 132 14.88068918 103 19.8400296 34.72071878 Jul Ags 4.623126735 32 6.163892692 10.78701943 Sep Okt Nop Des Universitas Sumatera Utara 217 Dan pada Tabel 4.20 dapat dijelaskan rekap dari hasil hujan maksimum hasil rata-rata Thiessen Tabel 4.20 Curah Hujan maksimum hasil rata-rata Thiessen Tahun 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 Curah Hujan 151.5 85.06 118.9 142 145.3 150 122.2 132.2 113 129.4 143.9 160.6 86.61 141.9 94.6 Maks mm Universitas Sumatera Utara 218

4.5 Analisa Curah Hujan Maksimum Wilayah Metode Distribuasi Log Normal