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‫ﻣﺘﺮﺟﻢ ﻣﻦ ﺍﻹﻧﺠﻠﻴﺰﻳﺔ ﺇﻟﻰ ﺍﻟﻌﺮﺑﻴﺔ ‪www.onlinedoctranslator.com -‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻣﻌﺎﺩﻟﺔ)ﻣﻮﺍﺯﻧﺔ( ﺍﻟﻤﻴﺎﻩ‬
‫ﺗﺘﻜﻮﻥﺍﻟﻤﻴﺰﺍﻧﻴﺔ ﺍﻟﻤﺎﺉﻴﺔ ﻣﻦ ﻣﻜﻮﻧﺎﺕ ﺍﻟﺪﻭﺭﺓ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺔ ﺣﻴﺚ ﺗﻜﻮﻥ ﻣﺤﺎﺳﺒﺔ ﻟﺘﺪﻓﻖ ﺍﻟﻤﻴﺎﻩ ﺇﻟﻰ‬
‫ﺍﻟﺪﺍﺧﻞﻭﺗﺪﻓﻘﻬﺎ ﺇﻟﻰ ﺍﻟﺨﺎﺭﺝ ﻭﺗﺨﺰﻳﻨﻬﺎ ﻓﻲ ﻧﻈﺎﻡ ﻫﻴﺪﺭﻭﻟﻮﺟﻲ ﻣﻌﻴﻦ‪ .‬ﻟﻔﺘﺮﺓ ﺯﻣﻨﻴﺔ ﺧﺎﺻﺔ ‪ ،‬ﻳﻤﻜﻨﻨﺎ ﺗﻄﺒﻴﻖ‬
‫ﻣﻌﺎﺩﻟﺔﺍﻻﺳﺘﻤﺮﺍﺭﻳﺔ ﻣﻦ ﺧﻼﻝ ﻣﻮﺍﺯﻧﺔ ﻣﻜﺎﺳﺐ ﻭﺧﺴﺎﺉﺮ ﺍﻟﻤﻴﺎﻩ ﻓﻲ ﻣﻨﻄﻘﺔ ﻣﺎ ﻣﻊ ﻛﻤﻴﺎﺕ ﺍﻟﻤﻴﺎﻩ ﺍﻟﻤﺨﺰﻧﺔ ﻓﻲ‬
‫ﺍﻟﻤﻨﻄﻘﺔ‪.‬ﺗﺪﻝ ﺍﻟﺘﺪﻓﻘﺎﺕ ﺍﻟﺪﺍﺧﻠﺔ ﻋﻠﻰ ﺃﻧﻬﺎ ﻛﻤﻴﺎﺕ ﻣﻮﺟﺒﺔ ﻭﺃﻥ ﺍﻟﺘﺪﻓﻖ ﺍﻟﺨﺎﺭﺝ ﻛﻜﻤﻴﺎﺕ ﺳﺎﻟﺒﺔ‪ .‬ﺑﺎﻟﻨﺴﺒﺔ‬
‫ﻟﻤﻨﻄﻘﺔﻣﺸﻜﻠﺔ ﻣﻌﻴﻨﺔ ‪ ،‬ﻋﻠﻰ ﺳﺒﻴﻞ ﺍﻟﻤﺜﺎﻝ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ‪ ،‬ﻓﻲ ﻓﺘﺮﺓ ﺯﻣﻨﻴﺔ ∆‪ ، t‬ﺗﺘﻢ ﻛﺘﺎﺑﺔ ﻣﻌﺎﺩﻟﺔ‬
‫ﺍﻻﺳﺘﻤﺮﺍﺭﻳﺔﻟﻠﻤﻴﺎﻩ ﻓﻲ ﻣﺮﺍﺣﻠﻬﺎ ﺍﻟﻤﺨﺘﻠﻔﺔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫ﺃﻧﺎ‪O = ΔS -‬‬
‫ﺍﻟﻤﺪﺧﻼﺕ‪ -‬ﺍﻟﻤﺨﺮﺟﺎﺕ = ﺍﻟﺘﻐﻴﻴﺮ ﻓﻲ ﺗﺨﺰﻳﻦ ﺍﻟﻤﻴﺎﻩ‪.‬‬
‫‪.‬ﺗﻐﻴﻴﺮﻓﻲ ﺗﺨﺰﻳﻦ ﺣﺠﻢ ﺍﻟﻤﺎء ﻓﻮﻕ ﺍﻟﻤﻨﻄﻘﺔ ﺍﻟﻤﺤﺪﺩﺓ ﻭﺗﺤﺘﻬﺎ ﺧﻼﻝ ﺍﻟﻔﺘﺮﺓ ﺍﻟﻤﺤﺪﺩﺓ ‪∆S:‬‬
‫‪.‬ﺣﺠﻢﺗﺪﻓﻖ ﺍﻟﻤﻴﺎﻩ ﻣﻦ ﻣﻨﻄﻘﺔ ﺗﺠﻤﻴﻊ ﺍﻟﻤﻴﺎﻩ ‪ O:‬ﺣﺠﻢ ﺗﺪﻓﻖ‬
‫ﺍﻟﻤﻴﺎﻩﺇﻟﻰ ﻣﻨﻄﻘﺔ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ‪ ،‬ﻭ ‪I:‬‬
‫ﻣﺜﺎﻝ‪ :‬ﻣﺴﺘﺠﻤﻌﺎﺕ ﻣﻴﺎﻩ ﺑﻤﺴﺎﺣﺔ ‪ 15‬ﻛﻢ‪ ،2‬ﺍﺣﺴﺐ‪:‬‬
‫‪.1‬ﺍﻟﺘﻐﻴﻴﺮ ﻓﻲ ﺣﺠﻢ ﺍﻟﺘﺨﺰﻳﻦ )ﻟﻤﺪﺓ ﺳﻨﺔ ﻭﺍﺣﺪﺓ( ﻓﻮﻕ ﻭﺗﺤﺖ ﻣﺴﺘﺠﻤﻊ ﺍﻟﻤﻴﺎﻩ ﺍﻟﻤﺤﺪﺩ ﺇﺫﺍ ﻛﺎﻥ ﺣﺠﻢ‬
‫ﺍﻟﺘﺪﻓﻖ‪410 * 8‬ﻡ‪3‬ﻭﻟﻠﺘﺪﻓﻖ ‪410 * 6.5‬ﻡ‪.3‬‬
‫‪.2‬ﺇﺫﺍ ﻛﺎﻥ ﺍﻟﻤﺘﻮﺳﻂ ﺍﻟﺴﻨﻮﻱ ﻟﺘﺪﻓﻖ ﺍﻟﺘﺪﻓﻖ ﻫﻮ ‪710‬ﻡ‪ ،3‬ﺍﺣﺴﺐ ﺍﻟﻌﻤﻖ ﺍﻟﻤﻜﺎﻓﺊ‪.‬‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫ﻣﻊﺇﺩﺭﺍﻙ ﺃﻧﻪ ﻟﻴﺲ ﻛﻞ ﺍﻟﻤﺼﻄﻠﺤﺎﺕ ﻓﻲ ﺍﻟﻤﻴﺰﺍﻧﻴﺔ ﺍﻟﻤﺎﺉﻴﺔ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺔ ﻗﺪ ﺗﻜﻮﻥ ﻣﻌﺮﻭﻓﺔ ﺑﻨﻔﺲ‬
‫ﺍﻟﺪﺭﺟﺔﻣﻦ ﺍﻟﺪﻗﺔ ‪ ،‬ﻓﺈﻥ ﺍﻟﺘﻌﺒﻴﺮ ﻋﻦ ﺍﻟﻤﻴﺰﺍﻧﻴﺔ ﺍﻟﻤﺎﺉﻴﺔ ﻟﻤﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ﻟﻔﺘﺮﺓ ﺯﻣﻨﻴﺔ ∆‪ t‬ﻣﻜﺘﻮﺏ ﻋﻠﻰ ﺍﻟﻨﺤﻮ‬
‫ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫‪I + P + Rg - E - O - Og - S - R1 + R2 =0‬‬
‫‪6‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﺃﻳﻦ‪:‬‬
‫ﺃﻧﺎ= ﺍﻟﺘﺪﻓﻖ ﺍﻟﺴﻄﺤﻲ‪.‬‬
‫‪ = P‬ﺍﻟﺘﺮﺳﻴﺐ‪.‬‬
‫‪.‬ﺍﻟﻀﺦ= ‪Rg‬‬
‫‪.‬ﺍﻟﺘﺒﺨﺮ= ‪E‬‬
‫‪.‬ﺍﻟﺠﺮﻳﺎﻥﺍﻟﺴﻄﺤﻲ = ‪R1 & R2‬‬
‫‪.‬ﺗﻐﻴﻴﺮﺍﻟﺘﺨﺰﻳﻦ = ‪. ΔS‬ﺗﺴﺮﺏ‬
‫ﺗﺤﺖﺍﻟﺴﻄﺢ = ‪. Og‬ﺍﻟﺘﺪﻓﻖ‬
‫ﺍﻟﺴﻄﺤﻲ= ‪O‬‬
‫ﻣﻠﺤﻮﻇﺎﺕ‪:‬‬
‫ﺍﻷﻭﻝ‪:‬ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻭﺃﻱ ﺗﺪﻓﻖ ﺁﺧﺮ‪.‬‬
‫‪.‬ﺍﻟﺘﺴﻠﻞ ‪،‬ﺍﻻﺳﺘﻬﻼﻙ ‪ ،‬ﺍﻟﺨﺴﺎﺉﺮ ﻓﻲ ﺍﻟﻤﻴﺎﻩ ﺍﻟﺠﻮﻓﻴﺔ ﺃﻭ ﺍﻟﺘﺨﺰﻳﻦ ﻭﺃﻱ ﺗﺪﻓﻖ ﺧﺎﺭﺟﻲ ﺁﺧﺮ ‪ )T( ،‬ﺍﻟﻨﺘﺢ ‪ )E( ،‬ﺍﻟﺘﺒﺨﺮ‬
‫‪O:‬‬
‫‪ (-) = ΔS‬ﺍﻧﺨﻔﺎﺽ ﺃﻭ ﻧﻘﺼﺎﻥ ﻓﻲ ﻣﺴﺘﻮﻯ ﺍﻟﻤﺎء ﻭ )‪ (+‬ﺍﺭﺗﻔﺎﻉ ﺃﻭ ﺯﻳﺎﺩﺓ ﻓﻲ ﻣﻨﺴﻮﺏ ﺍﻟﻤﻴﺎﻩ‪ .‬ﻳﺘﻜﻮﻥ‬
‫ﺍﻟﺘﺨﺰﻳﻦ‪ S‬ﻣﻦ ﺛﻼﺛﺔ ﻣﻜﻮﻧﺎﺕ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫‪S = S.‬ﺱ‪+ S.‬ﻡ‪S.‬‬
‫ﺃﻳﻦ‬
‫‪+‬ﺯ‬
‫ﺗﺨﺰﻳﻦﺍﻟﻤﻴﺎﻩ ﺍﻟﺴﻄﺤﻴﺔ ‪Ss:‬‬
‫‪:‬ﺍﻟﻤﻴﺎﻩﺍﻟﻤﺨﺰﻧﺔ ﻛﻤﻴﺎﻩ ﺟﻮﻓﻴﺔ‪ .‬ﻫﻜﺬﺍ ﻓﻮﻕ‬
‫ﻣﻜﺎﻓﺊ‪.‬ﻳﺼﺒﺢ ‪ Sg:‬ﺍﻟﻤﻴﺎﻩ ﺍﻟﻤﺨﺰﻧﺔ ﻛﺮﻃﻮﺑﺔ‬
‫ﺍﻟﺘﺮﺑﺔ ‪،‬ﻭ ‪Sm:‬‬
‫‪ΔS = ΔS‬ﺱ‪+ ΔS‬ﻡ‪ΔS‬‬
‫‪7‬‬
‫‪+‬ﺯ‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻣﺜﺎﻝ‪ :‬ﺑﺤﻴﺮﺓ ﻳﺒﻠﻎ ﺍﺭﺗﻔﺎﻉ ﺳﻄﺢ ﺍﻟﻤﺎء ﻓﻴﻬﺎ ‪ 103.2‬ﻣﺘﺮﺍً ﻓﻮﻕ ﺍﻟﻤﺴﻨﺪ ﻓﻲ ﺑﺪﺍﻳﺔ ﺷﻬﺮ ﻣﻌﻴﻦ‪ .‬ﻓﻲ ﺫﻟﻚ ﺍﻟﺸﻬﺮ ‪،‬‬
‫ﺗﻠﻘﺖﺍﻟﺒﺤﻴﺮﺓ ﻣﺘﻮﺳﻂ ﺗﺪﻓﻖ ﺩﺍﺧﻠﻲ ﺑﻠﻎ ‪ 6‬ﺃﻣﺘﺎﺭ‪ /3‬ﻕ ﻣﻦ ﻣﺼﺎﺩﺭ ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ‪ .‬ﻓﻲ ﻧﻔﺲ ﺍﻟﻔﺘﺮﺓ ‪ ،‬ﺑﻠﻎ‬
‫ﻣﺘﻮﺳﻂﻗﻴﻤﺔ ﺍﻟﺘﺪﻓﻖ ﻣﻦ ﺍﻟﺒﺤﻴﺮﺓ ‪ 6.5‬ﻣﺘﺮ‪/3‬ﺱ‪ .‬ﻋﻼﻭﺓ ﻋﻠﻰ ﺫﻟﻚ ‪ ،‬ﻓﻲ ﺫﻟﻚ ﺍﻟﺸﻬﺮ ‪ ،‬ﺗﻠﻘﺖ ﺍﻟﺒﺤﻴﺮﺓ ﻫﻄﻮﻝ‬
‫ﺃﻣﻄﺎﺭ‪ 145‬ﻣﻠﻢ ﻭﻗﺪُﺭّ ﺍﻟﺘﺒﺨﺮ ﻣﻦ ﺳﻄﺢ ﺍﻟﺒﺤﻴﺮﺓ ﺑـ ‪ 6.1‬ﺳﻢ‪ .‬ﺍﻛﺘﺐ ﻣﻌﺎﺩﻟﺔ ﺍﻟﻤﻴﺰﺍﻧﻴﺔ ﺍﻟﻤﺎﺉﻴﺔ ﻟﻠﺒﺤﻴﺮﺓ ﻭﺣﺴﺎﺏ‬
‫ﺍﺭﺗﻔﺎﻉﺳﻄﺢ ﺍﻟﻤﺎء ﻟﻠﺒﺤﻴﺮﺓ ﻓﻲ ﻧﻬﺎﻳﺔ ﺍﻟﺸﻬﺮ‪ .‬ﻳﻤﻜﻦ ﺍﻋﺘﺒﺎﺭ ﻣﺘﻮﺳﻂ ﻣﺴﺎﺣﺔ ﺳﻄﺢ ﺍﻟﺒﺤﻴﺮﺓ ‪ 5000‬ﻫﻜﺘﺎﺭ‪.‬‬
‫ﺍﻓﺘﺮﺽﺃﻧﻪ ﻻ ﺗﻮﺟﺪ ﻣﺴﺎﻫﻤﺔ ﻓﻲ ﺃﻭ ﻣﻦ ﺗﺨﺰﻳﻦ ﺍﻟﻤﻴﺎﻩ ﺍﻟﺠﻮﻓﻴﺔ‪.‬‬
‫‪8‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻣﺜﺎﻝ‪ :‬ﻣﺴﺘﺠﻤﻌﺎﺕ ﻣﻴﺎﻩ ﺻﻐﻴﺮﺓ ﻣﺴﺎﺣﺘﻬﺎ ‪ 150‬ﻫﻜﺘﺎﺭﺍ ًﻫﻄﻠﺖ ﻋﻠﻴﻬﺎ ﺃﻣﻄﺎﺭ ‪ 10.5‬ﺳﻢ ﻓﻲ ‪ 90‬ﺩﻗﻴﻘﺔ‬
‫ﺑﺴﺒﺐﻋﺎﺻﻔﺔ‪ .‬ﻋﻨﺪ ﻣﺨﺮﺝ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ‪ ،‬ﻛﺎﻥ ﺍﻟﺘﻴﺎﺭ ﺍﻟﺬﻱ ﻳﺴﺘﻨﺰﻑ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ﺟﺎﻓﺎً ﻗﺒﻞ‬
‫ﺍﻟﻌﺎﺻﻔﺔﻭﺷﻬﺪ ﺟﺮﻳﺎﻧﺎً ﺍﺳﺘﻤﺮ ﻟﻤﺪﺓ ‪ 10‬ﺳﺎﻋﺎﺕ ﺑﻤﺘﻮﺳﻂ ﺗﺼﺮﻳﻒ ﻳﺒﻠﻎ ‪ 1.5‬ﻣﺘﺮ ﻣﻜﻌﺐ ‪ /‬ﺛﺎﻧﻴﺔ‪ .‬ﺟﻒ ﺍﻟﺘﻴﺎﺭ‬
‫ﻣﺮﺓﺃﺧﺮﻯ ﺑﻌﺪ ﺣﺪﺙ ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ‪) .‬ﺃ( ﻣﺎ ﻫﻲ ﻛﻤﻴﺔ ﺍﻟﻤﻴﺎﻩ ﺍﻟﺘﻲ ﻟﻢ ﺗﻜﻦ ﻣﺘﺎﺣﺔ ﻟﻠﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ ﺑﺴﺒﺐ‬
‫ﺍﻟﺘﺄﺛﻴﺮﺍﻟﻤﺸﺘﺮﻙ ﻟﻠﺘﺴﻠﻞ ﻭﺍﻟﺘﺒﺨﺮ ﻭﺍﻟﻨﺘﺢ؟ )ﺏ( ﻣﺎ ﻫﻲ ﻧﺴﺒﺔ ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ ﺇﻟﻰ ﺍﻟﺘﺮﺳﺒﺎﺕ؟‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫ﻣﻌﺎﺩﻟﺔﺍﻟﻤﻴﺰﺍﻧﻴﺔ ﺍﻟﻤﺎﺉﻴﺔ ﻟﻤﺴﺘﺠﻤﻊ ﺍﻟﻤﻴﺎﻩ ﻓﻲ ﻭﻗﺖ ∆‪ t‬ﻫﻲ‬
‫‪R = P –L‬‬
‫ﺣﻴﺚ‪ :L‬ﺍﻟﻔﺎﻗﺪ )ﺍﻟﻤﺎء ﻏﻴﺮ ﻣﺘﻮﻓﺮ ﻟﻠﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ ﺑﺴﺒﺐ ﺍﻟﺘﺴﺮﺏ ﻭﺍﻟﺘﺒﺨﺮ ﻭﺍﻟﻨﺘﺢ ﻭﺍﻟﺘﺨﺰﻳﻦ ﺍﻟﺴﻄﺤﻲ(‬
‫)ﺃ( ‪ = P‬ﺍﻟﻤﺪﺧﻼﺕ ﺑﺴﺒﺐ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ‪ 10‬ﺳﺎﻋﺎﺕ = ‪157500 = (100 / 10.5) * 100 * 100 * 150‬‬
‫ﺣﺠﻢﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ = ﺣﺠﻢ ﺍﻟﺘﺪﻓﻖ ﻋﻨﺪ ﻣﻨﻔﺬ ﺗﺠﻤﻴﻊ ﺍﻟﻤﻴﺎﻩ ﻓﻲ ﻏﻀﻮﻥ ‪ 10‬ﺳﺎﻋﺎﺕ = ‪ R‬ﻡ ‪3‬‬
‫‪R = 1.5 * 10 * 60 * 60 =54000‬‬
‫ﻭﻣﻦﺛﻢ ﻓﺈﻥ ﺍﻟﺨﺴﺎﺉﺮ ‪ L = 157500 –54000 = 103500‬ﻡ ‪3‬‬
‫)ﺏ( ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ ‪ /‬ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ = ‪) 0.343 = 54000/157500‬ﻣﻌﺎﻣﻞ ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ(‬
‫‪9‬‬
‫ﻡ‪3‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﺍﻟﻔﺼﻞﺍﻟﺜﺎﻧﻲ‬
‫ﺗﺴﺎﻗﻂ‬
‫ﺗﺴﺎﻗﻂ‪:‬ﻳﻤﻜﻦ ﺗﻌﺮﻳﻔﻪ ﻋﻠﻰ ﺃﻧﻪ ﺳﻘﻮﻁ ﺍﻟﺮﻃﻮﺑﺔ ﻣﻦ ﺍﻟﻐﻼﻑ ﺍﻟﺠﻮﻱ ﺇﻟﻰ ﺍﻷﺭﺽ‬
‫ﺍﻟﺴﻄﺢﺑﺄﻱ ﺷﻜﻞ‪ .‬ﻗﺪ ﻳﻜﻮﻥ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﺷﻜﻠﻴﻦ‪ (1 :‬ﻫﻄﻮﻝ‬
‫ﺍﻷﻣﻄﺎﺭﺍﻟﺴﺎﺉﻞ ﻣﺜﻞ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ‪،‬‬
‫ﺏ( ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﺘﺠﻤﺪﺓ ﻣﺜﻞ ﺍﻟﺜﻠﺞ ﻭﺍﻟﺒﺮﺩ ﻭﺍﻟﺼﻘﻴﻊ ﻭﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﺘﺠﻤﺪﺓ‪.‬‬
‫ﻭﻣﻦﺛﻢ ﻓﻬﻮ ﺇﺟﻤﺎﻟﻲ ﺇﻣﺪﺍﺩ ﺍﻟﻤﻴﺎﻩ ﺍﻟﻤﺸﺘﻖ ﻣﻦ ﺍﻟﻐﻼﻑ ﺍﻟﺠﻮﻱ ﻋﻠﻰ ﺷﻜﻞ ﻣﻄﺮ ‪ ،‬ﻭﺛﻠﺞ ‪ ،‬ﻭﺿﺒﺎﺏ ‪ ،‬ﻭﺻﻘﻴﻊ ‪،‬‬
‫ﻭﺑﺮَﺩَ ‪،‬ﻭﺻﻘﻴﻊ ‪ ،‬ﻭﻣﺎ ﺇﻟﻰ ﺫﻟﻚ‪ .‬ﻭﻋﺎﺩﺓ ﻣﺎ ﻳﺘﻢ ﺍﻟﺘﻌﺒﻴﺮ ﻋﻨﻪ ﺑﻌﻤﻖ ﺍﻟﻤﺎء ﺍﻟﺴﺎﺉﻞ ﻋﻠﻰ ﺳﻄﺢ ﺃﻓﻘﻲ ﻓﻲ ﻳﻮﻡ ﺃﻭ‬
‫ﺷﻬﺮﺃﻭ ﺳﻨﺔ‪ .‬ﻭﺍﻟﻤﺤﺪﺩﺓ ﻋﻠﻰ ﺃﻧﻬﺎ ﻫﻄﻮﻝ ﻳﻮﻣﻲ ﺃﻭ ﺷﻬﺮﻱ ﺃﻭ ﺳﻨﻮﻱ‪.‬‬
‫ﻧﻮﻉﺍﻟﻬﻄﻮﻝ‬
‫ﻳﻤﻜﻦﺗﺼﻨﻴﻒ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺇﻟﻰ ﻧﻮﻋﻴﻦ‪ -1 :‬ﺣﺴﺐ‬
‫ﺍﻟﺸﻜﻞﻭﺍﻟﺤﺠﻢ‪:‬‬
‫ﺃ‪.‬ﺭﺫﺍﺫ‪ :‬ﻋﺒﺎﺭﺓ ﻋﻦ ﺭﺵ ﻧﺎﻋﻢ ﻣﻦ ﻗﻄﺮﺍﺕ ﺍﻟﻤﺎء ﺍﻟﺼﻐﻴﺮﺓ ﻭﺍﻟﻤﻮﺣﺪﺓ ﺍﻟﺘﻲ ﻳﻘﻞ ﻗﻄﺮﻫﺎ ﻋﻦ ‪ 0.02‬ﺑﻮﺻﺔ )‪0.5‬‬
‫ﻣﻢ( ‪،‬‬
‫ﻭﺩﺑﺖﺍﺩًﺝ ﺓﺭﻳﻐﺺ ﺗﺎﺭﻃﻘﻼ ﻧﻮﻛﺘﻮ ‪.‬ﺓﻋﺎﺱ ‪ /‬ﻣﻠﻢ ﻧﻢ ﻟﻘﺎ ﺓﺩﺵ ﻭ ﻣﻠﻢ ‪ 5‬ﻧﻢ ﻟﻘﺎ ﺍﻫﻤﺠﺢ ﻧﺎﺟﺢ ﺗﺎﺭﻃﻖ ﻧﻢ ﻧﻮﻛﺘﻲ‪ :‬ﺫﺍﺫﺭﻻ‬
‫‪.‬ﻧﺎﻳﺤﻸﺍ ﺿﻌﺐ ﻳﻒ ﺍﻭﻓﻄﺖ ﺍﻫﻨﺄﻛﻮ‬
‫ﺏ‪.‬ﺗﻤﻄﺮ‪ :‬ﻫﻮ ﺗﺮﺳﻴﺐ ﻣﺎء ﺳﺎﺉﻞ ﺗﻜﻮﻥ ﻓﻴﻪ ﺍﻟﻘﻄﺮﺍﺕ ﺃﻛﺒﺮ ﻣﻦ ﺭﺫﺍﺫ‪ .‬ﻋﺎﺩﺓ ﻣﺎ ﻳﻜﻮﻥ ﻗﻄﺮ ﺍﻟﻘﻄﺮﺍﺕ ﺃﻛﺒﺮ‬
‫ﻣﻦ‪ 0.5‬ﻣﻢ ‪ ،‬ﻭﻗﺪ ﻳﺼﻞ ﺇﻟﻰ ‪ 6‬ﻣﻢ‪.‬‬
‫ﺗﺎﺭﻃﻘﻞﺭﺑﻜﺄ ﻟﺼﻴﻮ ﻣﻠﻢ ‪ 0.5‬ﻧﻢ ﺭﺑﻜﺄ ءﺍﻡ ﺗﺎﺭﻃﻖ ﻟﻜﺸﺐ ﻓﺼﻴﻮ ﻃﻴﻘﺴﻼ ﻧﻢ ﻳﺴﻴﺉﺮﻻ ﻟﻜﺸﻼ ﻟﺜﻤﻲ‪ :‬ﺭﻃﻤﻼ‬
‫‪:‬ﯨﻺ ﺍﻫﺘﺪﺵ ﯨﻺ ﺍﺩﺍﻧﺘﺴﺎ ﺭﺍﻃﻤﻼﺍ ﻓﻨﺼﺘﻮ ﺍﺑﻴﺮﻗﺖ ﻣﻠﻢ ‪ 6‬ﯨﻺ ﺭﻃﻤﻼ‬
‫ﻓﻨﺼﻼ‬
‫ﺓﻳﺮﻃﻤﻼﺓﺩﺷﻼ‬
‫ﺓﻋﺎﺱ ‪ /‬ﻣﻠﻢ ‪ 2.5‬ﻧﻢ ﻟﻘﺄ‬
‫ﻓﻴﻔﺦﺭﻃﻢ‬
‫ﺓﻋﺎﺱ ‪ /‬ﻣﻠﻢ ‪2.5 - 7.5‬‬
‫ﻃﺴﻮﺗﻢﺭﻃﻢ‬
‫ﺓﻋﺎﺱ ‪ /‬ﻣﻠﻢ ‪ 7.5‬ﻧﻢ ﺭﺑﻜﺄ‬
‫ﻓﻴﺜﻚﺭﻃﻢ‬
‫‪01‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺝ‪.‬ﺍﻟﺜﻠﺞ‪ :‬ﻫﻮ ﺗﺮﺳﻴﺐ ﺍﻟﻤﺎء ﺍﻟﺼﻠﺐ ‪ ،‬ﻋﻠﻰ ﺷﻜﻞ ﺑﻠﻮﺭﺍﺕ ﺛﻠﺠﻴﺔ ﻧﺎﺗﺠﺔ ﻋﻦ ﺍﻟﺘﺴﺎﻣﻲ )ﺑﺨﺎﺭ ﺍﻟﻤﺎء ﻣﺒﺎﺷﺮﺓ‬
‫ﺇﻟﻰﺍﻟﺠﻠﻴﺪ( ﻭﻛﺜﺎﻓﺘﻪ ‪ 0.1‬ﺟﻢ ‪ /‬ﺳﻢ‪.3‬‬
‫ﺩ‪.‬ﻭﺍﺑﻞ‪ :‬ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻠﻰ ﺷﻜﻞ ﻛﺮﺍﺕ ﻣﻦ ﺍﻟﺠﻠﻴﺪ ﻳﺰﻳﺪ ﻗﻄﺮﻫﺎ ﻋﻦ ‪ 0.2‬ﺑﻮﺻﺔ )‪ 50-5‬ﻣﻢ(‪.‬‬
‫‪E.‬ﺳﻄﺢ ﺃﻣﻠﺲ‪ :‬ﻫﻮ ﺍﻟﻤﻄﺮ ﺍﻟﺬﻱ ﻳﺴﻘﻂ ﻓﻲ ﻃﺒﻘﺔ ﻣﻦ ﺍﻟﻬﻮﺍء ﺍﻟﺒﺎﺭﺩ ﻭﻳﺘﺠﻤﺪ ﻋﻨﺪﻣﺎ ﻳﺼﻄﺪﻡ ﺑﺄﺷﻴﺎء ﻋﻠﻰ‬
‫ﺍﻷﺭﺽ‪.‬‬
‫‪F.‬ﺍﻟﺒﺮﺩ‪ :‬ﻳﺘﻢ ﺗﺒﺮﻳﺪ ﻗﻄﺮﺍﺕ ﺍﻟﻤﻄﺮ ﺍﻟﻤﺠﻤﺪﺓ ﺇﻟﻰ ﻣﺮﺣﻠﺔ ﺍﻟﺠﻠﻴﺪ ﺃﺛﻨﺎء ﺳﻘﻮﻃﻬﺎ ﻋﺒﺮ ﺍﻟﻬﻮﺍء ﻋﻨﺪ ﺩﺭﺟﺔ ﺣﺮﺍﺭﺓ‬
‫ﺍﻟﺘﺠﻤﺪ‪.‬‬
‫ﺗﺤﺖﺓﺭﺭﺍ ﺡ ﺗﺎﺟﺮﺩ ﺩﻧﻊ ءﺍﻭﻫﻼ ﻟﻼﻻﺥ ﺭﻃﻤﻼ ﻃﻮﻗﺲ ﺩﻧﻊ ﻧﻮﻛﺘﺖ ﺓﻓﺎﻓﺶ ﺗﺎﺑﻴﺒﺤﺐ ﺭﻃﻢ ﺗﺎﺧﺰ ﻳﻬﻮ‪ :‬ﺩﺭﺑﻼ‬
‫ﺩﺍﻣﺠﻨﻼﺍ‬
‫‪-2‬ﺣﺴﺐ ﺳﻔﺮ ﺍﻟﺘﻜﻮﻳﻦ‪:‬‬
‫ﺃ‪.‬ﺗﺮﺳﻴﺐ ﺍﻟﺤﻤﻞ‪ :‬ﻭﻫﻮ ﻧﺎﺗﺞ ﻋﻦ ﺣﺮﻛﺔ ﺍﻟﻬﻮﺍء ﺍﻟﺼﺎﻋﺪﺓ ﺍﻟﺘﻲ ﺗﻜﻮﻥ ﺃﻛﺜﺮ ﺩﻓﺉﺎً ﻣﻦ ﺍﻟﻤﻨﺎﻃﻖ ﺍﻟﻤﺤﻴﻄﺔ ﺑﻬﺎ ؛‬
‫ﻳﺄﺗﻲﺍﻟﻬﻮﺍء ﺍﻟﺒﺎﺭﺩ ﻟﻴﺄﺧﺬ ﻣﻜﺎﻥ ﺍﻟﻬﻮﺍء ﺍﻷﻛﺜﺮ ﺩﻓﺉﺎً‪ .‬ﻳﺤﺪﺙ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻠﻰ ﺷﻜﻞ ﺯﺧﺎﺕ ﺷﺪﻳﺪﺓ‬
‫ﺍﻟﺸﺪﺓﻭﻓﺘﺮﺍﺕ ﻗﺼﻴﺮﺓ‪.‬‬
‫ﺏ‪.‬ﻫﻄﻮﻝ ﺍﻹﻋﺼﺎﺭ‪:‬ﻳﺮﺗﺒﻂ ﺑﺤﺮﻛﺔ ﺍﻟﻜﺘﻞ ﺍﻟﻬﻮﺍﺉﻴﺔ ﻣﻦ ﺍﻟﻀﻐﻂ ﺍﻟﻌﺎﻟﻲ ﻭﻳﻨﻀﻢ ﺇﻟﻰ ﺍﻟﻀﻐﻂ ﺍﻟﻤﻨﺨﻔﺾ‪ .‬ﻗﺪ‬
‫ﻳﻜﻮﻥﺃﻣﺎﻣﻴﺎً ﺃﻭ ﻏﻴﺮ ﺃﻣﺎﻣﻲ‪ .‬ﻳﻨﺘﺞ ﺍﻟﺘﺮﺳﻴﺐ ﺍﻷﻣﺎﻣﻲ ﻋﻦ ﺭﻓﻊ ﺍﻟﻬﻮﺍء ﺍﻟﺪﺍﻓﺊ ﻓﻮﻕ ﺍﻟﻬﻮﺍء ﺍﻟﺒﺎﺭﺩ ‪ ،‬ﺑﻴﻨﻤﺎ‬
‫ﻓﻲﺣﺎﻟﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻏﻴﺮ ﺍﻷﻣﺎﻣﻴﺔ ‪ ،‬ﻳﺘﺤﺮﻙ ﺍﻟﻬﻮﺍء ﺍﻟﺒﺎﺭﺩ ﺃﺳﺮﻉ ﻣﻦ ﺍﻟﻬﻮﺍء ﺍﻟﺪﺍﻓﺊ‪.‬‬
‫ﺝ‪.‬ﺍﻟﺘﺮﺳﻴﺐ ﺍﻷﻭﺭﻭﻏﺮﺍﻓﻲ‪ :‬ﺇﻧﻪ ﻧﺎﺗﺞ ﻋﻦ ﺍﻟﻜﺘﻞ ﺍﻟﻬﻮﺍﺉﻴﺔ ﺍﻟﺘﻲ ﺗﻀﺮﺏ ﺑﻌﺾ ﺍﻟﺤﻮﺍﺟﺰ ﺍﻟﻄﺒﻮﻏﺮﺍﻓﻴﺔ‬
‫ﺍﻟﻄﺒﻴﻌﻴﺔﻣﺜﻞ ﺍﻟﺠﺒﺎﻝ ‪ ،‬ﻭﻻ ﻳﻤﻜﻨﻬﺎ ﺍﻟﺘﺤﺮﻙ ﻟﻸﻣﺎﻡ ﻭﺑﺎﻟﺘﺎﻟﻲ ﺗﺮﺗﻔﻊ ﻣﺴﺒﺒﺔ ﺍﻟﺘﻜﺜﻴﻒ ﻭﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫ﺭﺳﻢﺑﻴﺎﻧﻲ ‪ .1‬ﺗﺮﺳﻴﺐ ﺍﻟﺤﻤﻞ‬
‫ﺍﻟﺼﻮﺭﺓ‪ .2‬ﺗﺮﺳﻴﺐ ﺃﻭﺭﻭﻏﺮﺍﻓﻲ‬
‫‪00‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻗﻴﺎﺳﺎﺕﺍﻟﻬﻄﻮﻝ‪:‬‬
‫ﻳﻌﺘﺒﺮﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺃﺣﺪ ﺃﻫﻢ ﻣﻜﻮﻧﺎﺕ ﺍﻟﺪﻭﺭﺓ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺔ ﺍﻟﻌﺎﻟﻤﻴﺔ ﻭﻫﻲ ﺍﻟﺒﻴﺎﻧﺎﺕ ﺍﻷﺳﺎﺳﻴﺔ ﺍﻟﻤﻄﻠﻮﺑﺔ‬
‫ﻟﺘﻘﺪﻳﺮﺃﻱ ﻛﻤﻴﺔ ﻫﻴﺪﺭﻭﻟﻮﺟﻴﺔ )ﻣﺜﻞ ﺍﻟﺠﺮﻳﺎﻥ ﺍﻟﺴﻄﺤﻲ ﻭﺗﺼﺮﻳﻒ ﺍﻟﻔﻴﻀﺎﻧﺎﺕ ﻭﻣﺎ ﺇﻟﻰ ﺫﻟﻚ(‪ .‬ﻟﺬﻟﻚ ‪ ،‬ﻳﻌﺪ ﻗﻴﺎﺱ‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ ﻋﻨﺼﺮﺍً ﻣﻬﻤﺎً ﻓﻲ ﺟﻤﻴﻊ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺔ‪ .‬ﺗﺘﻄﻠﺐ ﺩﺭﺍﺳﺎﺕ ﺍﻟﻄﻘﺲ ﻭﺍﻟﺘﻮﺍﺯﻥ ﺍﻟﻤﺎﺉﻲ‬
‫ﺃﻳﻀﺎًﻣﻌﻠﻮﻣﺎﺕ ﻋﻦ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫ﻳﺘﻢﻗﻴﺎﺱ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ )ﺑﺠﻤﻴﻊ ﺃﻧﻮﺍﻋﻪ( ﻣﻦ ﺣﻴﺚ ﻋﻤﻖ ﺍﻟﻤﻴﺎﻩ )ﺑﺎﻟﻤﻠﻴﻤﺘﺮﺍﺕ( ﺍﻟﺘﻲ ﻳﻤﻜﻦ ﺃﻥ ﺗﺘﺮﺍﻛﻢ ﻋﻠﻰ‬
‫ﺳﻄﺢﻣﺴﺘﻮ ٍﺇﺫﺍ ﻇﻞ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﻣﻜﺎﻥ ﺳﻘﻮﻃﻪ‪ .‬ﺗﻢ ﺗﻄﻮﻳﺮ ﻣﺠﻤﻮﻋﺔ ﻣﺘﻨﻮﻋﺔ ﻣﻦ ﺍﻷﺩﻭﺍﺕ ﻟﻘﻴﺎﺱ‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ )ﺃﻭ ﻣﻌﺪﻝ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ( ﻭﺗﻌُﺮﻑ ﺑﺎﺳﻢ ﻣﻘﺎﻳﻴﺲ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺃﻭ ‪ ،‬ﺑﺒﺴﺎﻃﺔ ‪ ،‬ﻣﻘﺎﻳﻴﺲ‬
‫ﺍﻟﻤﻄﺮﺍﻟﺘﻲ ﺗﻢ ﺗﺼﻨﻴﻔﻬﺎ ﻋﻠﻰ ﺃﻧﻬﺎ ﺇﻣﺎ ﺃﺟﻬﺰﺓ ﻗﻴﺎﺱ ﻣﻄﺮ ﺗﺴﺠﻞ ﺃﻭ ﻻ ﺗﺴﺠﻞ‪.‬‬
‫ﻫﻨﺎﻙﻧﻮﻋﺎﻥ ﻣﻦ ﻣﻘﺎﻳﻴﺲ ﺍﻟﻤﻄﺮ‪-1 :‬‬
‫ﻣﻘﺎﻳﻴﺲﻋﺪﻡ ﺍﻟﺘﺴﺠﻴﻞ‪:‬‬
‫ﺃﻱﻭﻋﺎء ﻣﻔﺘﻮﺡ ﺑﺠﻮﺍﻧﺐ ﺭﺃﺳﻴﺔ ﻳﻜﻮﻥ ﻋﺒﺎﺭﺓ ﻋﻦ ﻭﻋﺎء ﻭﻣﺠﻤﻊ ﺩﺍﺧﻞ ﺍﻟﻤﻘﻼﺓ ﺑﻘﻄﺮ ‪ 12‬ﺳﻢ ﻭﻋﻤﻖ ‪ 30‬ﺳﻢ ﻭﻳﻮﺟﺪ ﻣﻴﺰﺍﻥ‬
‫ﻟﻘﺮﺍءﺓﺍﺭﺗﻔﺎﻉ ﺍﻟﻤﺎء ‪ ،‬ﻭﻋﻨﺪ ﻭﺟﻮﺩ ﺛﻠﺞ ﻳﺘﻢ ﺇﺧﺮﺍﺝ ﺍﻟﻤﺠﻤﻊ ﻣﻦ ﺍﻟﻤﻘﻼﺓ‪.‬‬
‫‪-2‬ﻣﻘﺎﻳﻴﺲ ﺍﻟﺘﺴﺠﻴﻞ‪ :‬ﺃ‪-‬‬
‫ﻣﻘﻴﺎﺱﺍﻟﻤﻄﺮ ﺍﻟﻤﻌﻴﺎﺭﻱ‬
‫ﻳﺘﻜﻮﻥﻣﻘﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺍﻟﻘﻴﺎﺳﻲ ‪ ،‬ﺍﻟﺬﻱ ﺗﻢ ﺗﻄﻮﻳﺮﻩ ﻓﻲ ﺑﺪﺍﻳﺔ ﺍﻟﻘﺮﻥ ﺍﻟﻌﺸﺮﻳﻦ ﺗﻘﺮﻳﺒﺎً ‪ ،‬ﻣﻦ ﻗﻤﻊ ﻣﺘﺼﻞ ﺑﺄﺳﻄﻮﺍﻧﺔ ﻣﺪﺭﺟﺔ )‬
‫ﻗﻄﺮﻫﺎ‪ 2‬ﺳﻢ( ﺗﻨﺎﺳﺐ ﺣﺎﻭﻳﺔ ﺧﺎﺭﺟﻴﺔ ﺃﻛﺒﺮ )ﻗﻄﺮﻫﺎ ‪ 20‬ﺳﻢ ﻭﻃﻮﻟﻬﺎ ‪ 50‬ﺳﻢ(‪ .‬ﺇﺫﺍ ﻓﺎﺽ ﺍﻟﻤﺎء ﺑﺎﻷﺳﻄﻮﺍﻧﺔ ﺍﻟﻤﺘﺪﺭﺟﺔ ﺍﻟﺪﺍﺧﻠﻴﺔ ‪ ،‬ﻓﺈﻥ‬
‫ﺍﻟﺤﺎﻭﻳﺔﺍﻟﺨﺎﺭﺟﻴﺔ ﺍﻷﻛﺒﺮ ﺳﺘﻠﺘﻘﻄﻬﺎ‪ .‬ﻋﻨﺪ ﺇﺟﺮﺍء ﺍﻟﻘﻴﺎﺳﺎﺕ ‪ ،‬ﻳﺘﻢ ﻗﻴﺎﺱ ﺍﺭﺗﻔﺎﻉ ﺍﻟﻤﺎء ﻓﻲ ﺍﻷﺳﻄﻮﺍﻧﺔ ﺍﻟﺼﻐﻴﺮﺓ ﺍﻟﻤﺘﺪﺭﺟﺔ ﻭﻳﺘﻢ ﺳﻜﺐ‬
‫ﺍﻟﻔﺎﺉﺾﻓﻲ ﺍﻟﺤﺎﻭﻳﺔ ﺍﻟﻜﺒﻴﺮﺓ ﺑﻌﻨﺎﻳﺔ ﻓﻲ ﺃﺳﻄﻮﺍﻧﺔ ﻣﺘﺪﺭﺟﺔ ﺃﺧﺮﻯ ﻭﻳﺘﻢ ﻗﻴﺎﺳﻪ ﻹﻋﻄﺎء ﺇﺟﻤﺎﻟﻲ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪ .‬ﻓﻲ ﺍﻟﻤﻮﺍﻗﻊ ﺍﻟﺘﻲ‬
‫ﺗﺴﺘﺨﺪﻡﺍﻟﻨﻈﺎﻡ ﺍﻟﻤﺘﺮﻱ ‪ ،‬ﻋﺎﺩﺓ ًﻣﺎ ﻳﺘﻢ ﺗﻤﻴﻴﺰ ﺍﻷﺳﻄﻮﺍﻧﺔ ﺑﺎﻟﻤﻠﻢ ﻭﻓﻲ ﺍﻟﺼﻮﺭﺓ ﺳﺘﺼﻞ ﺇﻟﻰ ‪ 250‬ﻣﻠﻢ )‪ 9.8‬ﺑﻮﺻﺎﺕ( ﻣﻦ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫ﻳﺒﻠﻎﻃﻮﻝ ﻛﻞ ﺧﻂ ﺃﻓﻘﻲ ﻋﻠﻰ ﺍﻷﺳﻄﻮﺍﻧﺔ ‪ 5‬ﺳﻢ )‪ 2.0‬ﺑﻮﺻﺔ( ﻓﻲ ﺍﻟﻤﻨﺎﻃﻖ ﺍﻟﺘﻲ ﺗﺴﺘﺨﺪﻡ ﺍﻟﻨﻈﺎﻡ ﺍﻟﻤﺘﺮﻱ ؛ ﻓﻲ ﺍﻟﻤﻨﺎﻃﻖ ﺍﻟﺘﻲ‬
‫ﺗﺴﺘﺨﺪﻡﺍﻟﻮﺣﺪﺍﺕ ﺍﻹﻣﺒﺮﺍﻃﻮﺭﻳﺔ ‪ ،‬ﻳﻤﺜﻞ ﻛﻞ ﺧﻂ ﺃﻓﻘﻲ ‪ 0.01‬ﺑﻮﺻﺔ‪ .‬ﺗﺠﻤﻊ ﺍﻟﺤﺎﻭﻳﺔ ﺍﻷﻛﺒﺮ ﺃﻱ ﻛﻤﻴﺎﺕ ﻣﻦ ﺍﻷﻣﻄﺎﺭ ﺗﺰﻳﺪ ﻋﻦ ‪ 25‬ﻣﻢ‬
‫ﺗﺘﺪﻓﻖﻣﻦ ﺛﻘﺐ ﺻﻐﻴﺮ ﺑﺎﻟﻘﺮﺏ ﻣﻦ ﺃﻋﻠﻰ ﺍﻷﺳﻄﻮﺍﻧﺔ‪ .‬ﻳﺘﻢ ﺗﻮﺻﻴﻞ ﺃﻧﺒﻮﺏ ﻣﻌﺪﻧﻲ ﺑﺎﻟﺤﺎﻭﻳﺔ ﻭﻳﻤﻜﻦ ﺗﻌﺪﻳﻠﻪ ﻟﻀﻤﺎﻥ ﻣﺴﺘﻮﻯ‬
‫ﻣﻘﻴﺎﺱﺍﻟﻤﻄﺮ‪ .‬ﺛﻢ ﻳﺘﻢ ﺗﺮﻛﻴﺐ ﻫﺬﺍ ﺍﻷﻧﺒﻮﺏ ﻓﻮﻕ ﻗﻀﻴﺐ ﻣﻌﺪﻧﻲ ﺗﻢ ﻭﺿﻌﻪ ﻓﻲ ﺍﻷﺭﺽ‪ .‬ﻛﻤﺎ ﻫﻮ ﻣﺒﻴﻦ ﻓﻲ ﺍﻟﺸﻜﻞ ‪.3‬‬
‫‪01‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﺸﻜﻞ‪ 3‬ﻣﻘﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺍﻟﻘﻴﺎﺳﻲ‬
‫ﺏ‪-‬ﻗﻴﺎﺱ ﻭﺯﻥ ﻣﻘﻴﺎﺱ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﻳﺘﻜﻮﻥﻣﻘﻴﺎﺱ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻦ ﻧﻮﻉ ﺍﻟﻮﺯﻥ ﻣﻦ ﺻﻨﺪﻭﻕ ﺗﺨﺰﻳﻦ ﻳﺘﻢ ﻭﺯﻧﻪ ﻟﺘﺴﺠﻴﻞ ﺍﻟﻜﺘﻠﺔ‪ .‬ﺗﻘﻴﺲ ﺑﻌﺾ ﺍﻟﻨﻤﺎﺫﺝ ﺍﻟﻜﺘﻠﺔ‬
‫ﺑﺎﺳﺘﺨﺪﺍﻡﻗﻠﻢ ﻋﻠﻰ ﺃﺳﻄﻮﺍﻧﺔ ﺩﻭﺍﺭﺓ ‪ ،‬ﺃﻭ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺳﻠﻚ ﺍﻫﺘﺰﺍﺯﻱ ﻣﺘﺼﻞ ﺑﻤﺴﺠﻞ ﺑﻴﺎﻧﺎﺕ‪ .‬ﺗﺘﻤﺜﻞ ﻣﺰﺍﻳﺎ ﻫﺬﺍ ﺍﻟﻨﻮﻉ ﻣﻦ ﺍﻟﻤﻘﺎﻳﻴﺲ‬
‫ﻋﻠﻰﺍﻟﺪﻻء ﺍﻟﻤﺎﺉﻠﺔ ﻓﻲ ﺃﻧﻪ ﻻ ﻳﻘﻠﻞ ﻣﻦ ﺷﺄﻥ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻐﺰﻳﺮﺓ ‪ ،‬ﻭﻳﻤﻜﻨﻪ ﻗﻴﺎﺱ ﺍﻷﺷﻜﺎﻝ ﺍﻷﺧﺮﻯ ﻟﻬﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ‪ ،‬ﺑﻤﺎ ﻓﻲ‬
‫ﺫﻟﻚﺍﻟﻤﻄﺮ ﻭﺍﻟﺒﺮﺩ ﻭﺍﻟﺜﻠﺞ‪ .‬ﻭﻣﻊ ﺫﻟﻚ ‪ ،‬ﻓﺈﻥ ﻫﺬﻩ ﺍﻟﻤﻘﺎﻳﻴﺲ ﺃﻏﻠﻰ ﺛﻤﻨﺎ ًﻭﺗﺘﻄﻠﺐ ﺻﻴﺎﻧﺔ ﺃﻛﺜﺮ ﻣﻦ ﻣﻘﺎﻳﻴﺲ ﺍﻟﺠﺮﺍﻓﺔ ﺍﻟﻤﺎﺉﻠﺔ‪.‬‬
‫ﺝ‪-‬ﻣﻘﻴﺎﺱ ﺩﻟﻮ ﺍﻟﻘﻠﺐ‬
‫ﻳﻘﻊﺍﻟﺘﺮﺳﻴﺐ ﻋﻠﻰ ﺃﺣﺪ ﺩﻻء ﺃﻭ ﺭﺍﻓﻌﺘﻴﻦ ﺻﻐﻴﺮﺗﻴﻦ ﻣﺘﻮﺍﺯﻧﺔ ﺑﻨﻔﺲ ﻃﺮﻳﻘﺔ ﺍﻟﻤﻘﻴﺎﺱ‪ .‬ﺑﻌﺪ ﻛﻤﻴﺔ ﻣﻦ ﺍﻟﺘﺮﺳﻴﺐ ﺗﺴﺎﻭﻱ‬
‫‪0.2‬ﻣﻢ )‪ 0.007‬ﺑﻮﺻﺔ( ﺗﺴﻘﻂ ﺃﻃﺮﺍﻑ ﺍﻟﺮﺍﻓﻌﺔ ﻭﻳﺘﻢ ﺇﺭﺳﺎﻝ ﺇﺷﺎﺭﺓ ﻛﻬﺮﺑﺎﺉﻴﺔ ﺇﻟﻰ ﺍﻟﻤﺴﺠﻞ‪ .‬ﻛﻤﺎ ﻫﻮ ﻣﺒﻴﻦ ﻓﻲ ﺍﻟﺸﻜﻞ ‪.2‬‬
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‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺩ‪-‬ﺟﻬﺎﺯ ﻗﻴﺎﺱ ﺍﻟﺘﻌﻮﻳﻢ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﺸﻜﻞ‪ 4‬ﻣﺴﺠﻞّ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ‪-‬ﺍﻟﺠﺮﺍﻓﺔ‪ -‬ﺍﻟﻤﻴﻞ‬
‫ﻭﺗﺘﻜﻮﻥﻣﻦ ﻏﺮﻓﺔ ﻋﺎﺉﻤﺔ ﻣﺴﺘﻄﻴﻠﺔ ‪ ،‬ﺗﺤﻤﻞ ﻗﻤﻌﺎً ﻭﺃﺳﻄﻮﺍﻧﺔ ﻋﻠﻰ ﻛﻼ ﺍﻟﺠﺎﻧﺒﻴﻦ ﻓﻲ ﺍﻟﺠﺰء ﺍﻟﻌﻠﻮﻱ ﻣﻨﻬﺎ ﻭﻋﻮﺍﻣﺔ ﻣﺠﻮﻓﺔ‬
‫ﺧﻔﻴﻔﺔﻓﻲ ﻗﺎﻋﻬﺎ ﻣﺰﻭﺩﺓ ﺑﺘﺮﺗﻴﺐ ﺳﺤﺐ ﺫﺍﺗﻲ ﺍﻟﺒﺪء‪.‬‬
‫ﻫـ‪-‬ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺑﺎﻟﺮﺍﺩﺍﺭ‬
‫ﺗﺤﻠﻴﻞﺳﺠﻼﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﻳﻮﻓﺮﻣﻘﻴﺎﺱ ﺍﻟﺘﺴﺠﻴﻞ ﺳﺠﻼ ًﻟﻌﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻛﺪﺍﻟﺔ ﻟﻠﻮﻗﺖ‪ .‬ﻋﻤﻖ ﺍﻟﻬﻄﻮﻝ ‪ -‬ﻳﺴﻤﻰ‬
‫ﻣﻨﺤﻨﻰﺍﻟﻮﻗﺖ ﻣﻨﺤﻨﻰ ﺍﻟﻜﺘﻠﺔ‪) .‬ﺗﻴﻦ‪(3 .‬‬
‫‪-1‬ﻣﻨﺤﻨﻰ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﺘﺮﺍﻛﻢ‬
‫ﻋﻤﻖﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺑﻮﺣﺪﺓ ﺯﻣﻨﻴﺔ ﻳﺴﻤﻰ ﺷﺪﺓ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫∆‬
‫≈‬
‫∆‬
‫ﺃﻧﺎ=‬
‫‪:‬ﻫﺎﻧﺪﺍﻟًﻜﺸﻼ ﻳﻒ ﺍﻣﻚ ‪ ،‬ﻳﻨﻤﺰﻻ ﻟﺴﻠﺴﺘﻼ ﺑﺴﺢ ﻣﺴﺮﻳﻮ ﻧﻤﺰﻻ ﻟﺒﺎﻗﻢ ﻣﻜﺮ ﺍ ﺗﻤﻼ ﻃﻴﻘﺴﻼ ﻣﺴﺮ ﻧﻊ ﺓﺭﺍﺑﻊ‬
‫‪01‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻣًﺎﻳﻸﺍﺑﺘﻤﺎﺍﻫﺪﺗﺴﺈ ‪ -(2-‬ﺓﻳﺮﻃﻤﻼ ﺓﺧﺰﻻ ﺭﺍﺩﻗﻢ) ‪ :1cm‬ﻧﻊ ﺗﺎﻣﻮﻟﻌﻢ ﻳﻤﻜﺎﺭﺗﻼ ﺭﻃًﻤﻼ ﻳﻨﺤﻨﻤﻼ ﻳﻄﻌﻲ‬
‫ﺗﺤﻘﻖﻣﻦ ﺗﺤﻘﻖ ﻣﻦ ﺗﻔﻜﻴﻜﻬﺎ ‪3-‬‬
‫‪2- Hyetograph:‬ﻳﺴﻤﻰ ﺍﻟﻤﻨﺤﻨﻰ ﺍﻟﺬﻱ ﻳﻈﻬﺮ ﺗﺒﺎﻳﻦ ﺷﺪﺓ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺑﻤﺮﻭﺭ ﺍﻟﻮﻗﺖ‬
‫‪.‬ﻭﻋﺎﺩﺓﻣﺎ ﻳﺘﻢ ﺭﺳﻤﻬﺎ ﻓﻲ ﺧﻄﻮﺍﺕ ‪hyetograph‬‬
‫ﻃﻮﻃﺦﻟﻜﺶ ﯨﻠﻊ ﺿﺮﻋﻲ ﻭ ﺭﻃًﻤﻠﻞ ﻳﻤًﻜﺎﺭﺗﻼ ﻳﻨﺤﻨﻤﻼ ﻧﻢ ﻗﺘﺸﻤﻔًﺎﺭﻏﻮﺗﻴﻬﻼﻭ‬
‫‪:‬ﺓﺑﺴﺎﻧﻢ ﺓﻗﻴﺮﻁ ﻓﺎﺭﻏﻮﺗﻴﻬﻼ ﺩﻋﻲ‪(.‬ﻣﺨﻄﻂ ﺷﺮﻳﻄﻲ )ﺓﻳﺪﻭﻣﻊ‬
‫)ﺓﻋﺎﺱ ‪ /‬ﻣﺲ‪ 10‬ﺓﻳﺮﻃﻤﻼ ﺗﺨﺰﻻ ﺻﺉﺎﺻﺦ ﺿﺮﻉ‬
‫ﺓﻳﻼﻋﻼﺗﺎﻧﺎﺿﻴﻔﻼ ﻧﻊ ﺅﺑﻨﺘﻼ‬
‫ﺓﺭﺗﻔﻼﻛﻠﺖ ﻳﻒ ﻳﻠﻜﻼ ﻃﻴﻘﺴﻼ ﻓﺎﺭﻏﻮﺗﻴﻬﻼ ﺗﺤﺖ ﺓﺣﺎﺳﻤﻼ ﻟﺜﻤﺖ‬
‫‪01‬‬
‫‬‫‬‫‪-‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻛﻔﺎﻳﺔﻣﺤﻄﺎﺕ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ‪:‬‬
‫ﺇﺫﺍﻛﺎﻧﺖ ﻫﻨﺎﻙ ﺑﺎﻟﻔﻌﻞ ﺑﻌﺾ ﻣﺤﻄﺎﺕ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﻓﻲ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ ‪ ،‬ﻓﺴﻴﺘﻢ ﺍﻟﺤﺼﻮﻝ ﻋﻠﻰ ﺍﻟﻌﺪﺩ ﺍﻷﻣﺜﻞ‬
‫ﻟﻠﻤﺤﻄﺎﺕﺍﻟﺘﻲ ﻳﺠﺐ ﺃﻥ ﻳﻜﻮﻥ ﻟﻬﺎ ﻧﺴﺒﺔ ﺧﻄﺄ ﻣﻌﻴﻨﺔ ﻓﻲ ﺗﻘﺪﻳﺮ ﻣﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻦ ﺧﻼﻝ ﺍﻟﺘﺤﻠﻴﻞ‬
‫ﺍﻹﺣﺼﺎﺉﻲﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫)=‬
‫(‪2‬‬
‫ﺍﻟﻌﺪﺩﺍﻷﻣﺜﻞ ﻣﻦ ﺍﻟﻤﺤﻄﺎﺕ ‪N:‬‬
‫∋‬
‫∋‪:‬ﺩﺭﺟﺔ ﺍﻟﺨﻄﺄ ﺍﻟﻤﺴﻤﻮﺡ ﺑﻬﺎ ﻓﻲ ﺗﻘﺪﻳﺮ ﻣﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﺍﻟﺤﺎﻟﻴﺔ)ﺑﺎﻟﻨﺴﺒﺔ ﺍﻟﻤﺉﻮﻳﺔ( ‪ m‬ﻣﻌﺎﻣﻞ ﺍﻟﺘﺒﺎﻳﻦ ﻓﻲ ﻗﻴﻢ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﺍﻟﻤﺤﻄﺎﺕ ‪Cv:‬‬
‫=‬
‫‪−1‬‬
‫=√]‬
‫‪100‬ﺩﺭﺟﺔ‪− 1‬‬
‫؟ ̅؟‬
‫∑‪- ) 1‬؟‬
‫‪-1‬‬
‫̅؟(‪2‬‬
‫[‬
‫ﻡ ‪ :1-‬ﺍﻻﻧﺤﺮﺍﻑ ﺍﻟﻤﻌﻴﺎﺭﻱ‬
‫‪ ith‬ﻣﻘﺪﺍﺭ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪Pi:‬؟ ̅؟ =‪∑)1‬‬
‫‪1‬‬
‫(‬
‫ﻣﺜﺎﻝ‪ :‬ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﺤﻄﺔ ﻓﻲ ﺍﻟﺠﺪﻭﻝ ﺃﺩﻧﺎﻩ‪ :‬ﺍﺑﺤﺚ ﻋﻦ ﺍﻟﻌﺪﺩ ﺍﻷﻣﺜﻞ ﻟﻠﻤﺤﻄﺔ ﻓﻲ ﺍﻟﻘﺴﻄﺮﺓ‪) .‬ﺧﺬ‬
‫ﺧﻄﺄ= ‪(٪10‬‬
‫ﻣﺤﻄﺔ‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ )ﺳﻢ(‬
‫ﺃ‬
‫‪82.6‬‬
‫ﺏ‬
‫ﺝ‬
‫ﺩ‬
‫ﻩ‬
‫‪F‬‬
‫‪102.9‬‬
‫‪180.3‬‬
‫‪110.3‬‬
‫‪98.8‬‬
‫‪136.7‬‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫ﻭﺑﺎﻟﺘﺎﻟﻲ ‪،‬ﻧﺤﺘﺎﺝ ﺇﻟﻰ ‪ 3‬ﻣﺤﻄﺎﺕ ﺇﺿﺎﻓﻴﺔ‬
‫‪06‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﺧﺘﺒﺎﺭﺗﻨﺎﺳﻖ ﺍﻟﺴﺠﻼﺕ‪:‬‬
‫ﺇﺫﺍﻛﺎﻧﺖ ﺍﻟﻈﺮﻭﻑ ﺫﺍﺕ ﺍﻟﺼﻠﺔ ﺑﺘﺴﺠﻴﻞ ﻣﺤﻄﺔ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﻗﺪ ﺧﻀﻌﺖ ﻟﺘﻐﻴﻴﺮ ﻛﺒﻴﺮ ﺧﻼﻝ ﻓﺘﺮﺓ‬
‫ﺍﻟﺘﺴﺠﻴﻞ ‪،‬ﻓﺈﻥ ﻋﺪﻡ ﺍﻻﺗﺴﺎﻕ ﺳﻴﺆﺩﻱ ﺇﻟﻰ ﺯﻳﺎﺩﺓ ﺑﻴﺎﻧﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﺘﻠﻚ ﺍﻟﻤﺤﻄﺔ‪ .‬ﺳﻴﻈﻬﺮ ﻫﺬﺍ‬
‫ﺍﻟﺘﻨﺎﻗﺾﻣﻦ ﻭﻗﺖ ﺣﺪﻭﺙ ﺍﻟﺘﻐﻴﻴﺮ ﺍﻟﻜﺒﻴﺮ‪ .‬ﺑﻌﺾ ﺍﻷﺳﺒﺎﺏ ﺍﻟﺸﺎﺉﻌﺔ ﻟﻌﺪﻡ ﺗﻨﺎﺳﻖ ﺍﻟﺴﺠﻞ ﻫﻲ‪:‬‬
‫‪.1‬ﺗﺤﻮﻳﻞ ﻣﺤﻄﺔ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺇﻟﻰ ﻣﻮﻗﻊ ﺟﺪﻳﺪ‪.‬‬
‫‪.2‬ﻳﺨﻀﻊ ﺣﻲ ﺍﻟﻤﺤﻄﺔ ﻟﺘﻐﻴﻴﺮ ﻣﻠﺤﻮﻅ‪.‬‬
‫‪.3‬ﺍﻟﺘﻐﻴﻴﺮ ﻓﻲ ﺍﻟﻨﻈﺎﻡ ﺍﻟﺒﻴﺉﻲ ﺑﺴﺒﺐ ﺍﻟﻜﻮﺍﺭﺙ ‪ ،‬ﻣﺜﻞ ﺣﺮﺍﺉﻖ ﺍﻟﻐﺎﺑﺎﺕ ‪ ،‬ﻭﺍﻻﻧﻬﻴﺎﺭﺍﺕ ﺍﻷﺭﺿﻴﺔ‪.‬‬
‫‪.4‬ﺣﺪﻭﺙ ﺧﻄﺄ ﻓﻲ ﺍﻟﻤﻼﺣﻈﺔ ﻣﻦ ﺗﺎﺭﻳﺦ ﻣﻌﻴﻦ‪.‬‬
‫ﻳﺘﻢﺍﻟﺘﺤﻘﻖ ﻣﻦ ﻋﺪﻡ ﺗﻨﺎﺳﻖ ﺍﻟﺴﺠﻼﺕ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺗﻘﻨﻴﺔ ﻣﻨﺤﻨﻰ ﺍﻟﻜﺘﻠﺔ ﺍﻟﻤﺰﺩﻭﺟﺔ‪ .‬ﺗﻌﺘﻤﺪ ﻫﺬﻩ ﺍﻟﺘﻘﻨﻴﺔ ﻋﻠﻰ‬
‫ﻣﺒﺪﺃﺃﻧﻪ ﻋﻨﺪﻣﺎ ﺗﺄﺗﻲ ﻛﻞ ﺑﻴﺎﻧﺎﺕ ﻣﺴﺠﻠﺔ ﻣﻦ ﻧﻔﺲ ﺍﻟﺴﻜﺎﻥ ﺍﻷﺻﻠﻴﻴﻦ ‪ ،‬ﻓﺈﻧﻬﺎ ﺗﻜﻮﻥ ﻣﺘﺴﻘﺔ‪.‬‬
‫ﺃ‪.‬ﺍﻟﺘﺮﺳﻴﺐ ﺍﻟﻤﺘﺮﺍﻛﻢ ﻟﻠﻤﺤﻄﺔ ‪) X‬ﺃﻱ‪(PxΣ‬ﺗﻢ ﺣﺴﺎﺑﻪ‪ .‬ﺃﻳﻀﺎً ﺍﻟﻘﻴﻢ ﺍﻟﻤﺘﺮﺍﻛﻤﺔ ﻟﻤﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﻟﻤﺠﻤﻮﻋﺔﺍﻟﻤﺤﻄﺎﺕ ﺍﻟﻘﺎﻋﺪﻳﺔ )ﺃﻱ‪Σ‬ﺑﺎﻑ(ﺑﺪءﺍً ﻣﻦ ﺍﻟﺴﺠﻞ ﺍﻷﺧﻴﺮ‪.‬‬
‫ﺏ‪.‬ﻗﻄﻌﺔ‪PxΣ‬ﺿﺪ‪Σ.‬ﺑﺎﻑ‬
‫ﻳﺸﻴﺮﺍﻟﻔﺎﺻﻞ ﺍﻟﻤﻘﺮﺭ ﻓﻲ ﻣﻴﻞ ﺍﻟﻤﺨﻄﻂ ﺍﻟﻨﺎﺗﺞ ﺇﻟﻰ ﺣﺪﻭﺙ ﺗﻐﻴﻴﺮ ﻓﻲ ﻧﻈﺎﻡ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﻠﻤﺤﻄﺔ ‪ .X‬ﻭﻳﺘﻢ‬
‫ﺗﺼﺤﻴﺢﻗﻴﻢ ﺍﻟﻬﻮﺍﻃﻞ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪ X‬ﺑﻌﺪ ﻓﺘﺮﺓ ﺗﻐﻴﻴﺮ ﺍﻟﻨﻈﺎﻡ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺍﻟﻌﻼﻗﺔ‪:‬‬
‫=‬
‫ﻛﻤﺒﻴﻮﺗﺮ‪ :‬ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﺼﺤﺢ ﻓﻲ ﺃﻱ ﻓﺘﺮﺓ ﺯﻣﻨﻴﺔ ‪ t1at‬ﺍﻟﻤﺤﻄﺔ ‪Px: X‬‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ ﺍﻷﺻﻠﻲ ﺍﻟﻤﺴﺠﻞ ﻓﻲ ﺍﻟﻔﺘﺮﺓ ﺍﻟﺰﻣﻨﻴﺔ ‪ t1at‬ﺍﻟﻤﺤﻄﺔ ‪ X‬ﻣﻮﻟﻮﺩﻳﺔ‪:‬‬
‫ﺍﻟﻤﻨﺤﺪﺭﺍﻟﻤﺼﺤﺢ ﻟﻤﻨﺤﻨﻰ ﺍﻟﻜﺘﻠﺔ ﺍﻟﻤﺰﺩﻭﺝ ﺃﻣﺎﻩ‪:‬ﺍﻟﻤﻨﺤﺪﺭ ﺍﻷﺻﻠﻲ ﻟﻤﻨﺤﻨﻰ‬
‫ﺍﻟﻜﺘﻠﺔﺍﻟﻤﺰﺩﻭﺟﺔ‬
‫‪07‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻣﺜﺎﻝ‪:‬ﺑﻴﺎﻧﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻳﺔ ﻟﻠﻤﺤﻄﺔ ﻡ ﺑﺎﻹﺿﺎﻓﺔ ﺇﻟﻰ ﻣﺘﻮﺳﻂ ﻗﻴﻢ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻳﺔ‬
‫ﻟﻤﺠﻤﻮﻋﺔﻣﻦ ﻋﺸﺮ ﻣﺤﻄﺎﺕ ﻣﺠﺎﻭﺭﺓ ﺗﻘﻊ ﻓﻲ ﻣﻨﻄﻘﺔ ﻣﺘﺠﺎﻧﺴﺔ ﻣﻦ ﺍﻟﻨﺎﺣﻴﺔ ﺍﻟﺠﻮﻳﺔ ﻣﺬﻛﻮﺭﺓ ﺃﺩﻧﺎﻩ‪:‬‬
‫ﺍﺧﺘﺒﺎﺭﺗﻨﺎﺳﻖ ﺑﻴﺎﻧﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻳﺔ ﻟﻠﻤﺤﻄﺔ ‪ M‬ﻭﺗﺼﺤﻴﺢ ﺍﻟﺴﺠﻞ ﺇﻥ ﻭﺟﺪ‬
‫ﺗﻨﺎﻗﺾ‪.‬ﺗﻘﺪﻳﺮ ﻣﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪.M‬‬
‫‪08‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫ﻣﺠﻤﻮﻉ‪ Pm = 19004‬ﻣﻢ‬
‫ﻣﺘﻮﺳﻂ‪ Pm = 633.5‬ﻣﻢ‬
‫ﻳﺘﻢﻓﺮﺯ ﺍﻟﺒﻴﺎﻧﺎﺕ ﺑﺘﺮﺗﻴﺐ ﺗﻨﺎﺯﻟﻲ ﻟﻠﻌﺎﻡ ‪ ،‬ﺑﺪءﺍً ﻣﻦ ﺁﺧﺮ ﻋﺎﻡ ‪ .1979‬ﺗﻢ ﺣﺴﺎﺏ ﺍﻟﻘﻴﻢ ﺍﻟﺘﺮﺍﻛﻤﻴﺔ ﻟﻬﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﺑﺎﻟﻤﺤﻄﺔ)‪ (ΣPm‬ﻭﻣﺘﻮﺳﻂ ﻗﻴﻢ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻌﺸﺮ ﻣﺤﻄﺎﺕ )‪ (ΣPav‬ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﻓﻲ ﺍﻟﺠﺪﻭﻝ‬
‫ﺍﻟﺴﺎﺑﻖ‪.‬ﺛﻢ ﻳﺘﻢ ﺭﺳﻢ ﺍﻟﺒﻴﺎﻧﺎﺕ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫‪09‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻳﺘﻀﺢﺃﻥ ﺍﻟﺒﻴﺎﻧﺎﺕ ﺗﺮﺳﻢ ﻛﺨﻄﻴﻦ ﻣﺴﺘﻘﻴﻤﻴﻦ ﻣﻊ ﺍﻧﻘﻄﺎﻉ ﻓﻲ ﺍﻟﺪﺭﺟﺔ ﻓﻲ ﻋﺎﻡ ‪ .1968‬ﻣﻴﻞ ﺃﻓﻀﻞ ﺧﻂ‬
‫ﻣﺴﺘﻘﻴﻢﻟﻠﻔﺘﺮﺓ ‪ 1969-1979‬ﻫﻮ‪Mc = 1.0295 :‬‬
‫ﺍﻧﺤﺪﺍﺭﺃﻓﻀﻞ ﺧﻂ ﻣﺴﺘﻘﻴﻢ ﻟﻠﻔﺘﺮﺓ ‪ 1950-1968‬ﻫﻮ‪ Ma = 0.8779 :‬ﻭﺑﺎﻟﺘﺎﻟﻲ ‪ ،‬ﻓﺈﻥ‬
‫ﻧﺴﺒﺔﺍﻟﺘﺼﺤﻴﺢ ﻫﻲ‪:‬‬
‫=‬
‫‪1.0295‬‬
‫‪0.8779‬‬
‫= ‪1.173‬‬
‫ﺗﻈﻬﺮﺍﻟﻘﻴﻢ ﺍﻟﻤﻌﺪﻟﺔ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪ M‬ﻓﻲ ﺍﻟﻌﻤﻮﺩ ‪ 5‬ﻣﻦ ﺍﻟﺠﺪﻭﻝ ﺍﻟﺴﺎﺑﻖ‪ .‬ﺗﻈﻬﺮ ﺍﻟﻘﻴﻢ ﺍﻟﻨﻬﺎﺉﻴﺔ ﻟـ ‪ Pm‬ﻟﻜﻞ ‪30‬‬
‫ﻋﺎﻣﺎًﻣﻦ ﺍﻟﺴﺠﻼﺕ ﻓﻲ ﺍﻟﻌﻤﻮﺩ ‪.7‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﺘﻮﺳﻂﻋﻤﻖ ﺍﻟﻬﻄﻮﻝ‬
‫ﻏﺎﻟﺒﺎًﻣﺎ ﺗﻜﻮﻥ ﺍﻟﻤﻌﻠﻮﻣﺎﺕ ﺍﻟﻤﺘﻌﻠﻘﺔ ﺑﻤﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ )ﺃﻭ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ( ﻓﻮﻕ ﻣﻨﻄﻘﺔ ﻣﺤﺪﺩﺓ‬
‫ﺇﻣﺎﻋﻠﻰ ﺃﺳﺎﺱ ﺍﻟﻌﺎﺻﻔﺔ ﻋﻠﻰ ﺃﺳﺎﺱ ﻣﻮﺳﻤﻲ ﺃﻭ ﺳﻨﻮﻱ ﻣﻄﻠﻮﺑﺔ ﻓﻲ ﻋﺪﺓ ﺃﻧﻮﺍﻉ ﻣﻦ ﺍﻟﻤﺸﺎﻛﻞ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺔ‪.‬‬
‫ﻋﻤﻖﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺬﻱ ﻳﻘﺎﺱ ﺑﻤﻘﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺻﺎﻟﺢ ﻟﻤﺤﻄﺔ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﻫﺬﻩ ﻭﻓﻲ ﻣﺤﻴﻄﻬﺎ ﺍﻟﻤﺒﺎﺷﺮ‪.‬‬
‫ﻋﻠﻰﻣﺴﺎﺣﺔ ﻛﺒﻴﺮﺓ ﻣﺜﻞ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ )ﺃﻭ ﻣﺴﺘﺠﻤﻌﺎﺕ ﺍﻟﻤﻴﺎﻩ( ﻣﻦ ﻣﺠﺮﻯ ﻣﺎﺉﻲ ‪ ،‬ﺳﺘﻜﻮﻥ ﻫﻨﺎﻙ ﻋﺪﺓ‬
‫ﻣﺤﻄﺎﺕﻭﻳﻤﻜﻦ ﺗﻘﺪﻳﺮ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻠﻰ ﺍﻟﻤﻨﻄﻘﺔ ﺑﺄﻛﻤﻠﻬﺎ ﺑﺈﺣﺪﻯ ﺍﻟﻄﺮﻕ ﺍﻟﺘﺎﻟﻴﺔ‪:‬‬
‫‪.1‬ﻃﺮﻳﻘﺔ ﺍﻟﺤﺴﺎﺏ ﺍﻟﻤﺘﻮﺳﻂ‬
‫ﻫﺬﻩﻫﻲ ﺃﺑﺴﻂ ﻃﺮﻳﻘﺔ ﻳﺘﻢ ﻣﻦ ﺧﻼﻟﻬﺎ ﺍﻟﺤﺼﻮﻝ ﻋﻠﻰ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻦ ﺧﻼﻝ ﺍﻟﺤﺼﻮﻝ ﻋﻠﻰ ﻣﺠﻤﻮﻉ‬
‫ﺃﻋﻤﺎﻕﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ )ﻗﻞ ‪ ،1P‬ﺹ‪ ،2‬ﺹ‪ ،3‬ﺹ‪ ....4‬ﺹﻥ( ﺗﻢ ﻗﻴﺎﺳﻪ ﻓﻲ ﺍﻟﻤﺤﻄﺎﺕ ‪ n ..... ، 3 ، 2 ، 1‬ﻭﻗﺴﻤﺔ‬
‫ﺍﻟﻤﺠﻤﻮﻉﻋﻠﻰ ﺍﻟﻌﺪﺩ ﺍﻹﺟﻤﺎﻟﻲ ﻟﻠﻤﺤﻄﺎﺕ ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﻓﻲ ﺍﻟﻤﻌﺎﺩﻟﺔ ﺃﺩﻧﺎﻩ‬
‫=‬
‫‪1‬‬
‫‪…………. . 3+ 2+‬‬
‫=‬
‫‪1‬‬
‫∑‬
‫‪=1‬‬
‫ﺗﺴﺘﺨﺪﻡﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﻓﻲ ﻣﻨﺎﻃﻖ ﺃﺻﻐﺮ ﻣﻦ ‪ 500‬ﻛﻢ‪2‬ﻋﻨﺪﻣﺎ ﻳﺘﻢ ﺗﻮﺯﻳﻊ ﺍﻟﻤﻘﺎﻳﻴﺲ ﺑﺸﻜﻞ ﻣﻮﺣﺪ ﺇﻟﻰ ﺣﺪ ﻣﺎ‪.‬‬
‫‪.2‬ﻃﺮﻳﻘﺔ ﺛﻴﺴﻦ ﺍﻟﻤﻀﻠﻊ‬
‫ﺗﺄﺧﺬﻃﺮﻳﻘﺔ ‪ Theissen polygon‬ﻓﻲ ﺍﻟﺤﺴﺒﺎﻥ ﺍﻟﺘﻮﺯﻳﻊ ﻏﻴﺮ ﺍﻟﻤﻨﺘﻈﻢ ﻟﻠﻤﻘﺎﻳﻴﺲ ﻋﻦ ﻃﺮﻳﻖ ﺗﻌﻴﻴﻦ ﻋﺎﻣﻞ ﻭﺯﻥ‬
‫ﻟﻜﻞﻣﻘﻴﺎﺱ ﻣﻄﺮ‪ .‬ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﺃﻛﺜﺮ ﺩﻗﺔ ﻣﻦ ﻃﺮﻳﻘﺔ ﺍﻟﻤﺘﻮﺳﻂ ﺍﻟﺤﺴﺎﺑﻲ‪ .‬ﺍﻹﺟﺮﺍء ﺍﻟﺬﻱ ﻳﺠﺐ ﺍﺗﺒﺎﻋﻪ ﻓﻲ‬
‫ﺣﺴﺎﺏﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻫﻮ ؛‬
‫‪.‬ﺑﺨﻄﻮﻁﻣﺴﺘﻘﻴﻤﺔ (ﺍﻟﺸﻜﻞ ‪ D ... )1.5‬ﻭ ‪ C‬ﻭ ‪ B‬ﻭ ‪ A‬ﺍﻧﻀﻢ ﺇﻟﻰ ﻣﺤﻄﺎﺕ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺍﻟﻤﺠﺎﻭﺭﺓ (‪i‬‬
‫ﺏ( ﺍﺭﺳﻢ ﺍﻟﻤﻨﺼﻔﻴﻦ ﺍﻟﻤﺘﻌﺎﻣﺪﻳﻦ ﻟﻜﻞ ﻣﻦ ﻫﺬﻩ ﺍﻟﺨﻄﻮﻁ‪.‬‬
‫ﺝ( ﻳﺘﻢ ﺑﻨﺎء ﻣﻀﻠﻊ ﺛﻴﺴﻴﻦ‪ .‬ﺍﻟﻤﻀﻠﻊ ﺍﻟﺬﻱ ﻳﺘﻜﻮﻥ ﻣﻦ ﺍﻟﻤﻨﺼﺎﺕ ﺍﻟﻌﻤﻮﺩﻳﺔ ﺣﻮﻝ ﻣﺤﻄﺔ ﻳﺤﻴﻂ ﺑﻤﻨﻄﻘﺔ ﺗﻜﻮﻥ‬
‫ﺃﻗﺮﺏﺇﻟﻰ ﺗﻠﻚ ﺍﻟﻤﺤﻄﺔ ﻓﻲ ﻛﻞ ﻣﻜﺎﻥ ﻣﻦ ﺃﻱ ﻣﺤﻄﺔ ﺃﺧﺮﻯ‪ .‬ﺃﻭﺟﺪ ﻣﺴﺎﺣﺔ ﻛﻞ ﻣﻦ ﻫﺬﻩ ﺍﻟﻤﻀﻠﻌﺎﺕ‪.‬‬
‫‪10‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﺸﻜﻞ‪ 1.5‬ﺛﻴﺴﻦ ﺑﻮﻟﻴﺠﻮﻥ‬
‫‪ (4‬ﺍﺿﺮﺏ ﻣﺴﺎﺣﺔ ﻛﻞ ﻣﻀﻠﻊ ‪ Thiessen‬ﻓﻲ ﻗﻴﻤﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﻠﻤﺤﻄﺔ ﺍﻟﻤﻐﻠﻘﺔ‪.‬‬
‫‪.‬ﻟﻠﺤﻮﺽ (‪ )A‬ﺃﻭﺟﺪ ﺍﻟﻤﺴﺎﺣﺔ ﺍﻟﻜﻠﻴﺔ (‪v‬‬
‫‪ (6‬ﺣﺴﺎﺏ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻦ ﺍﻟﻤﻌﺎﺩﻟﺔ‬
‫=‬
‫∑=‬
‫‪1‬‬
‫∑‬
‫‪=1‬‬
‫=‪+. . . 3+ 2+ 1‬‬
‫‪=1‬‬
‫ﻻﻳﺘﻐﻴﺮ ﻣﻀﻠﻊ ﺛﻴﺴﻦ ﺑﻤﺮﻭﺭ ﺍﻟﻮﻗﺖ ‪ ،‬ﻭﻳﺘﻢ ﺭﺳﻤﻪ ﻣﺮﺓ ﻭﺍﺣﺪﺓ ﻓﻘﻂ‪ .‬ﻳﻤﻜﻦ ﺍﺳﺘﺨﺪﺍﻡ ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﻓﻲ ﻣﻨﺎﻃﻖ‬
‫‪5000-500‬ﻛﻢ‪2‬ﺑﺤﺠﻢ‪ .‬ﻳﻌﺘﺒﺮ ﻋﺪﻡ ﺍﻧﺘﻈﺎﻡ ﺍﻟﺘﻮﺯﻳﻊ ﺍﻟﻤﺴﺎﺣﻲ ﻟﻠﻤﻘﺎﻳﻴﺲ‪.‬‬
‫‪.3‬ﻃﺮﻳﻘﺔ ‪Isohyetal‬‬
‫ﺍﻻﻓﺘﺮﺍﺽﺍﻷﺳﺎﺳﻲ ﻓﻲ ﻃﺮﻳﻘﺔ ﻣﻀﻠﻊ ‪ Thiessen‬ﻫﻮ ﺃﻥ ﻣﺤﻄﺔ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﺗﻤﺜﻞ ﺍﻟﻤﻨﻄﻘﺔ ﺍﻟﻘﺮﻳﺒﺔ ﻣﻨﻬﺎ‬
‫ﻋﻠﻰﺃﻓﻀﻞ ﻭﺟﻪ‪ .‬ﻭﻣﻊ ﺫﻟﻚ ‪ ،‬ﻗﺪ ﻻ ﻳﻜﻮﻥ ﻫﺬﺍ ﺻﺤﻴﺤﺎً ﺩﺍﺉﻤﺎً ‪ ،‬ﻋﻨﺪﻣﺎ ﻳﺘﻢ ﺍﻟﺘﺤﻜﻢ ﻓﻲ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻦ‬
‫ﻃﺮﻳﻖﺍﻟﺘﻀﺎﺭﻳﺲ ﺃﻭ ﻧﺎﺗﺞ ﻋﻦ ﺍﻟﺤﻤﻞ ﺍﻟﺤﺮﺍﺭﻱ ﺍﻟﻤﻜﺜﻒ‪ .‬ﻃﺮﻳﻘﺔ ‪ Isohyetal‬ﻫﻲ ﺍﻷﻛﺜﺮ ﺗﻔﺼﻴﻼ ًﻭﺩﻗﺔ ﻓﻲ ﻣﺜﻞ‬
‫ﻫﺬﻩﺍﻟﻈﺮﻭﻑ‪ isohyet .‬ﻫﻮ ﺧﻂ ‪ ،‬ﻋﻠﻰ ﺧﺮﻳﻄﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﻠﺤﻮﺽ ‪،‬‬
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‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﺍﻻﻧﻀﻤﺎﻡﺇﻟﻰ ﺃﻣﺎﻛﻦ ﺗﺴﺎﻭﻱ ﻗﺮﺍءﺍﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪ .‬ﺗﻤﺜﻞ ﺍﻟﺨﺮﻳﻄﺔ ﺍﻟﻤﺘﺴﺎﻭﻳﺔ ﺍﻟﺘﻲ ﺗﻮﺿﺢ ﻣﻼﻣﺢ ﺗﺴﺎﻗﻂ‬
‫ﺍﻷﻣﻄﺎﺭﺻﻮﺭﺓ ﺃﻛﺜﺮ ﺩﻗﺔ ﻟﺘﻮﺯﻳﻊ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻠﻰ ﺍﻟﺤﻮﺽ‪ .‬ﺧﻄﻮﺍﺕ ﺍﻟﺤﺴﺎﺏ ﺍﻟﺘﻲ ﻳﺠﺐ ﺍﺗﺒﺎﻋﻬﺎ ﻟﺘﻄﺒﻴﻖ‬
‫ﻫﺬﻩﺍﻟﻄﺮﻳﻘﺔ ﻫﻲ ؛‬
‫ﻁ( ﻣﻦ ﻗﻴﻢ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﺴﺠﻠﺔ ﻓﻲ ﻣﺨﺘﻠﻒ ﻣﺤﻄﺎﺕ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ‪ ،‬ﻳﺘﻢ ﺇﻋﺪﺍﺩ ﺧﺮﻳﻄﺔ ﻣﺘﺴﺎﻭﻳﺔ ﺍﻟﺮﻃﻮﺑﺔ‬
‫ﻟﻠﻌﺎﺻﻔﺔﺍﻟﺘﻲ ﺗﺴﺒﺐ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻋﻠﻰ ﺍﻟﻤﻨﻄﻘﺔ‪.‬‬
‫ﺏ( ﻗﻢ ﺑﻘﻴﺎﺱ ﺍﻟﻤﺴﺎﺣﺎﺕ ﺍﻟﻤﺤﺎﻃﺔ ﺑﻴﻦ ﻣﺴﺎﻓﺎﺕ ﻣﺘﺴﺎﻭﻳﺔ ﻣﺘﺘﺎﻟﻴﺔ ﺑﻤﺴﺎﻋﺪﺓ ﺟﻬﺎﺯ ﻗﻴﺎﺱ ﺍﻟﻤﺴﺎﻓﺎﺕ‪.‬‬
‫ﺝ( ﺍﺿﺮﺏ ﻛﻞ ﻣﻨﻄﻘﺔ ﻣﻦ ﻫﺬﻩ ﺍﻟﻤﻨﺎﻃﻖ ﻓﻲ ﻣﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺑﻴﻦ ﻣﺘﺴﺎﻭﻳﺎﺕ ﻣﺘﺴﺎﻭﻳﺔ‪.‬‬
‫‪ (4‬ﺛﻢ ﻳﺘﻢ ﺣﺴﺎﺏ ﻣﺘﻮﺳﻂ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻦ ﺍﻟﺘﻌﺒﻴﺮ‪.‬‬
‫=‬
‫∑ ‪=1‬‬
‫‪+ 1+‬‬
‫×]‬
‫∑‬
‫‪2‬‬
‫[‬
‫ﻧﻈﺮﺍًﻷﻥ ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﺗﺄﺧﺬ ﻓﻲ ﺍﻻﻋﺘﺒﺎﺭ ﺍﻟﺘﺒﺎﻳﻦ ﺍﻟﻤﻜﺎﻧﻲ ﺍﻟﻔﻌﻠﻲ ﻟﻬﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ‪ ،‬ﻓﺈﻧﻬﺎ ﺗﻌﺘﺒﺮ ﺃﻓﻀﻞ ﻃﺮﻳﻘﺔ‬
‫ﻟﺤﺴﺎﺏﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫ﻣﺜﺎﻝ‪:1‬ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﻛﻤﺎ ﺗﻢ ﺍﻟﺤﺼﻮﻝ ﻋﻠﻴﻪ ﻓﻲ ﻣﺤﻄﺎﺕ ﻗﻴﺎﺱ ﺍﻟﻤﻄﺮ ﻟﻤﻨﻄﻘﺔ‬
‫ﻣﺤﺪﺩﺓﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﻓﻲ ﺍﻟﺸﻜﻞ ﺃﺩﻧﺎﻩ‪ .‬ﺍﻟﻘﻴﻢ ﺑﻮﺣﺪﺓ ﺳﻢ‪ .‬ﺗﺤﺪﻳﺪ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ‬
‫ﺑﺎﺳﺘﺨﺪﺍﻡ)‪ (1‬ﻃﺮﻳﻘﺔ ﺍﻟﻤﺘﻮﺳﻂ ﺍﻟﺤﺴﺎﺑﻲ ‪ (2) ،‬ﻃﺮﻳﻘﺔ ﺛﻴﺴﻴﻦ ﺍﻟﻤﻀﻠﻊ ‪ ،‬ﻭ )‪ (3‬ﻃﺮﻳﻘﺔ ﻣﺘﺴﺎﻭﻳﺔ‪.‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫)ﺃﻧﺎ(ﻃﺮﻳﻘﺔ ﺍﻟﻤﺘﻮﺳﻂ ﺍﻟﺤﺴﺎﺑﻲ‪:‬‬
‫ﻳﻤﻜﻦﺗﺤﺪﻳﺪ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺍﻟﻤﻌﺎﺩﻝ‪.‬‬
‫=‬
‫=‬
‫‪1‬‬
‫‪11‬‬
‫‪1‬‬
‫‪…………. . 3+ 2+‬‬
‫=‬
‫‪1‬‬
‫∑‬
‫‪=1‬‬
‫]‪140.6 + 93.2 + 84.0 + 60.0 + 45.6 + 48.1 + 54.7 + 60.9 + 88.1 + 20.3‬‬
‫‪[154.0 +‬‬
‫=‬
‫‪1‬‬
‫‪11‬‬
‫]‪77.23 = [849.5‬‬
‫)‪ (2‬ﺗﻢ ﻋﺮﺽ ﻣﻀﻠﻌﺎﺕ ‪ Theissen‬ﻟﻤﺸﻜﻠﺔ ﻣﻌﻴﻨﺔ ﻓﻲ ﺍﻟﺸﻜﻞ ﺃﺩﻧﺎﻩ ﻭﺗﻈﻬﺮ ﺣﺴﺎﺑﺎﺕ ﻣﺘﻮﺳﻂ ﻋﻤﻖ‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﻓﻲ ﺍﻟﺠﺪﻭﻝ ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫)‪ (3‬ﻃﺮﻳﻘﺔ ‪ Isohyetal: Isohyets‬ﻣﻮﺿﺤﺔ ﻓﻲ ﺍﻟﺸﻜﻞ ﺃﺩﻧﺎﻩ‪:‬‬
‫ﺗﻈﻬﺮﺣﺴﺎﺑﺎﺕ ﻣﺘﻮﺳﻂ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﻓﻲ ﺍﻟﺠﺪﻭﻝ ﺍﻟﺘﺎﻟﻲ ﺃﺩﻧﺎﻩ‪:‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺗﻘﺪﻳﺮﺑﻴﺎﻧﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﻤﻔﻘﻮﺩﺓ‪:‬‬
‫ﺍﻟﻌﺪﻳﺪﻣﻦ ﻣﺤﻄﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﺪﻳﻬﺎ ﻓﺎﺻﻞ ﻗﺼﻴﺮ ﻓﻲ ﺳﺠﻼﺗﻬﺎ ﺑﺴﺒﺐ ﻏﻴﺎﺏ ﺍﻟﻤﺮﺍﻗﺐ ﺃﻭ ﺑﺴﺒﺐ ﻓﺸﻞ‬
‫ﺍﻵﻟﺔ‪.‬ﻏﺎﻟﺒﺎ ﻣﺎ ﻳﻜﻮﻥ ﻣﻦ ﺍﻟﻀﺮﻭﺭﻱ ﺗﻘﺪﻳﺮ ﻫﺬﺍ ﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ‪ .‬ﻫﻨﺎﻙ ﻃﺮﻳﻘﺘﺎﻥ ﻟﺘﻘﺪﻳﺮ ﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ‪:‬‬
‫‪-1‬ﻃﺮﻳﻘﺔ ﺍﻟﻤﺘﻮﺳﻂ ﺍﻟﺤﺴﺎﺑﻲ‪:‬‬
‫ﺇﺫﺍﻛﺎﻥ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﺍﻟﻌﺎﺩﻱ ﻓﻲ ﻛﻞ ﻣﺤﻄﺔ ﻣﻦ ﻣﺤﻄﺎﺕ ﺍﻟﻔﻬﺮﺱ ﻳﺨﺘﻠﻒ ﻋﻦ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ﻣﻊ‬
‫ﺍﻟﺴﺠﻞﺍﻟﻤﻔﻘﻮﺩ ﺿﻤﻦ ‪ ،)Ni - Nx( / Nx >= 10٪[] ٪10‬ﻳﺘﻢ ﺍﺳﺘﺨﺪﺍﻡ ﻃﺮﻳﻘﺔ ﺍﻟﻨﺴﺒﺔ ﺍﻟﻌﺎﺩﻳﺔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ‬
‫ﺍﻟﺘﺎﻟﻲﻟﺘﻘﺪﻳﺮ ‪:Px‬‬
‫ﺃﻳﻦ‪:‬‬
‫ﺹ‪] =x‬ﺹﺃ‪ +‬ﺹﺏ‪ + ............ +‬ﺹﻥ[‬
‫ﺹ‪=x‬ﻳﻘﺪﺭ ﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ‪.‬‬
‫ﻥ=ﻋﺪﺩ ﻣﺤﻄﺎﺕ ﺍﻟﻌﻤﻞ‪.‬‬
‫ﺍﻟﺴﻠﻄﺔﺍﻟﻔﻠﺴﻄﻴﻨﻴﺔ=ﺍﻟﺴﺠﻞ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ﺃ‪.‬‬
‫‪=PB‬ﺍﻟﺴﺠﻞ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪.B‬‬
‫‪16‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫‪-2‬ﻃﺮﻳﻘﺔ ﺍﻟﻨﺴﺒﺔ ﺍﻟﻌﺎﺩﻳﺔ‪:‬‬
‫ﺇﺫﺍﻛﺎﻥ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﺍﻟﻌﺎﺩﻱ ﻓﻲ ﺃﻱ ﻣﺤﻄﺔ ﻣﻦ ﻣﺤﻄﺎﺕ ﺍﻟﻔﻬﺮﺱ ﻳﺨﺘﻠﻒ ﻋﻦ ﺫﻟﻚ ﻓﻲ ﺍﻟﻤﺤﻄﺔ‬
‫ﻣﻊﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ ﺑﺄﻛﺜﺮ ﻣﻦ ‪ ،)Ni - Nx( / Nx< 10٪[] ٪10‬ﻳﺘﻢ ﺍﺳﺘﺨﺪﺍﻡ ﻃﺮﻳﻘﺔ ﺍﻟﻨﺴﺒﺔ ﺍﻟﻌﺎﺩﻳﺔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ‬
‫ﺍﻟﺘﺎﻟﻲﻟﺘﻘﺪﻳﺮ ‪:Px‬‬
‫ﺹ‪[ ............ + + ] =x‬‬
‫ﺃﻳﻦ‪:‬‬
‫‪=Px‬ﻳﻘﺪﺭ ﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ‪.‬‬
‫ﻧﻜﺲ=ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺴﻨﻮﻱ ﺍﻟﻌﺎﺩﻱ ﻟﻠﻤﺤﻄﺔ ﻣﻊ ﺍﻟﺴﺠﻞ ﺍﻟﻤﻔﻘﻮﺩ‪ .‬ﻥ=ﻋﺪﺩ‬
‫ﻣﺤﻄﺎﺕﺍﻟﻌﻤﻞ‪.‬‬
‫‪ A، B، .........‬ﺍﻟﺴﺠﻞ ﻓﻲ ﺍﻟﻤﺤﻄﺔ = ‪PA، B، .....‬‬
‫ﻥﺃﻭ ﺏ‪ = .... ،‬ﺍﻟﺘﺴﺎﻗﻂ ﺍﻟﺴﻨﻮﻱ ﺍﻟﻌﺎﺩﻱ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪...... ،A، B‬‬
‫ﻣﻌﻠﻮﻣﺎﺕﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﺑﻌﺾﺍﻟﺘﻌﺎﺭﻳﻒ ﺍﻟﻤﺘﻌﻠﻘﺔ ﺑﻤﻌﻠﻮﻣﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪:‬‬
‫ﻛﺜﺎﻓﺔ)ﻁ(‪ :‬ﺇﻧﻪ ﻗﻴﺎﺱ ﻛﻤﻴﺔ ﺍﻷﻣﻄﺎﺭ ﺧﻼﻝ ﻓﺘﺮﺓ ﺯﻣﻨﻴﺔ ﻣﻌﻴﻨﺔ‪.‬‬
‫ﺃﻧﺎ= =‬
‫ﺍﻟﻤﺪﺓ)ﺭ(‪ :‬ﺇﻧﻬﺎ ﻓﺘﺮﺓ ﺯﻣﻨﻴﺔ ﻳﺴﻘﻂ ﺧﻼﻟﻬﺎ ﺍﻟﻤﻄﺮ‪) .‬ﺳﺎﻋﺔ ‪ ،‬ﺛﺎﻧﻴﺔ ‪(.... ،‬‬
‫ﺍﻟﺘﺮﺩﺩ)ﻥ(‪ :‬ﻳﺸﻴﺮ ﻫﺬﺍ ﺇﻟﻰ ﺗﻮﻗﻊ ﺃﻥ ﻋﻤﻖ ﻣﻌﻴﻦ ﻟﻬﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺳﻴﻨﺨﻔﺾ ﻓﻲ ﻭﻗﺖ ﻣﻌﻴﻦ ‪ ،‬ﻗﺪ ﻳﻜﻮﻥ ﻫﺬﺍ‬
‫ﺍﻟﻤﻘﺪﺍﺭﻣﺴﺎﻭﻳﺎ ًﺃﻭ ﻳﺘﺠﺎﻭﺯ ﻓﻲ ﻋﺪﺩ ﻣﻌﻴﻦ ﻣﻦ ﺍﻷﻳﺎﻡ ﺃﻭ ﺍﻟﺴﻨﻮﺍﺕ‪ .‬ﺃﻱ ﻛﻢ ﻣﺮﺓ ﺧﻼﻝ ‪ 10‬ﺳﻨﻮﺍﺕ ﻳﺴﻘﻂ ﺍﻟﻤﻄﺮ‬
‫ﺃﻛﺜﺮﻣﻦ ﺍﻟﻤﻌﺘﺎﺩ‪.‬‬
‫ﻓﺘﺮﺓﺍﻟﻌﻮﺩﺓ )‪ :(T‬ﻣﺘﻮﺳﻂ ﺍﻟﻔﺘﺮﺓ ﺍﻟﺘﻲ ﻳﺘﺴﺎﻭﻯ ﺧﻼﻟﻬﺎ ﺍﻟﻤﻄﺮ ﻟﻌﻤﻖ ﻣﻌﻴﻦ ﺃﻭ ﻳﺘﻌﺪﻯ ﻣﺮﺓ ﻭﺍﺣﺪﺓ‪ .‬ﻫﺬﺍ ﻳﻌﻨﻲ‬
‫ﺧﻼﻝﻓﺘﺮﺓ ﻃﻮﻳﻠﺔ )‪ 40‬ﺳﻨﺔ( ﻛﻢ ﻣﺮﺓ ﻳﺼﻞ ﺍﻟﻤﻌﺪﻝ ﺍﻟﻄﺒﻴﻌﻲ ﻟﺘﻜﺮﺍﺭ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ؟‬
‫‪17‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﻟﻌﻼﻗﺎﺕﺑﻴﻦ ﻣﻌﻠﻮﻣﺎﺕ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﻣﻨﺤﻨﻴﺎﺕﺍﻟﻌﻤﻖ ﻭﺍﻟﻤﺴﺎﺣﺔ ﻭﺍﻟﻤﺪﺓ )‪(DAD‬‬
‫ﻳﺘﻄﻠﺐﺗﻘﺪﻳﺮ ﺍﻟﻔﻴﻀﺎﻧﺎﺕ ﺍﻟﺸﺪﻳﺪﺓ ﻣﻦ ﺃﺟﻞ ﺍﻟﺘﺼﻤﻴﻢ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻲ ﻟﻠﺴﺪﻭﺩ ﺗﺤﺪﻳﺪ ﺍﻟﺤﺪ ﺍﻷﻗﺼﻰ )ﻋﻤﻖ(‬
‫ﻫﻄﻮﻝﺍﻷﻣﻄﺎﺭ ﻟﻔﺘﺮﺍﺕ ﻣﺨﺘﻠﻔﺔ ﻋﻠﻰ ﻣﻨﺎﻃﻖ ﻣﺨﺘﻠﻔﺔ ﺍﻷﺣﺠﺎﻡ‪ .‬ﺃﻗﺼﻰ ﻋﻤﻖ ﻟﻬﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﻠﻌﺎﺻﻔﺔ‬
‫ﻳﺘﻨﺎﻗﺺﻣﻊ ﺯﻳﺎﺩﺓ ﺍﻟﻤﺴﺎﺣﺔ ؛ ﻟﻤﻨﻄﻘﺔ ﻣﻌﻴﻨﺔ ﺍﻟﺤﺪ ﺍﻷﻗﺼﻰ‪ .‬ﻳﺰﻳﺪ ﺍﻟﻌﻤﻖ ﻣﻊ ﺍﻟﻤﺪﺓ‪.‬‬
‫ﺗﻢﺭﺳﻢ ﺍﻟﻤﻨﺤﻨﻰ ﺍﻟﺴﺎﺑﻖ ﺑﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻟﺼﻴﻐﺔ ﺍﻟﺘﺎﻟﻴﺔ‪:‬‬
‫‪1=Ṕ‬‬
‫‪∗ √ )-‬‬
‫ﺃﻳﻦ‪:‬‬
‫‪(.‬‬
‫∗‬
‫‪.‬ﻣﺘﻮﺳﻂﺍﻟﻌﻤﻖ = ‪Ṕ‬‬
‫‪.‬ﻋﻤﻖﺍﻟﻨﻘﻄﺔ ﻓﻲ ﺍﻟﻤﺮﻛﺰ )ﻣﻢ( = ‪P‬‬
‫ﺭ*= ﺩﺍﻟﺔ ﺟﺎﻣﺎ ﺍﻟﻌﻜﺴﻴﺔ‪.‬‬
‫‪18‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻛﺜﺎﻓﺔﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪ -‬ﻋﻼﻗﺔ ﺍﻟﻤﺪﺓ‬
‫ﺍﻟﻌﻼﻗﺔﺑﻴﻦ ﺍﻟﺸﺪﺓ ﻭﺍﻟﻤﺪﺓ ﺗﺄﺧﺬ ﺍﻟﺼﻴﻐﺔ‬
‫ﺃﻧﺎ=‬
‫ﺃﻧﺎ=‬
‫‪+‬‬
‫ﻋﻨﺪﻣﺎﺭ ≥ ‪ 2‬ﺳﺎﻋﺔ‬
‫ﻋﻨﺪﻣﺎﺭ< ‪ 2‬ﺳﺎﻋﺔ‬
‫ﺣﻴﺚﺗﻜﻮﻥ ‪ a‬ﻭ ‪ b‬ﻭ ‪ c‬ﻭ ‪ n‬ﺛﻮﺍﺑﺖ‬
‫ﻋﻨﺪﻣﺎﺗﻜﻮﻥ ﻣﺘﻐﻴﺮﻳﻦ ﻫﻤﺎ ‪ x‬ﻭ ‪ y‬ﻳﺘﻢ ﻗﻴﺎﺱ ﻗﻴﻤﻬﻤﺎ ﻭﻳﺘﻢ ﺗﺤﺪﻳﺪ ﺍﻟﻌﻼﻗﺔ ﺑﻴﻦ ﻫﺬﻳﻦ ﺍﻟﻤﺘﻐﻴﺮﻳﻦ‪ .‬ﻳﻤﻜﻦ ﺃﻥ‬
‫ﺗﻜﻮﻥﺍﻟﻌﻼﻗﺔ ﺧﻄﻴﺔ‪ .‬ﺍﻓﺘﺮﺽ ﻭﺟﻮﺩ ﺧﻄﻲ ﺃﻭ ﻏﻴﺮ ﺧﻄﻲ ﻭﺗﻢ ﺗﻘﺪﻳﻤﻪ ﺑﻮﺍﺳﻄﺔ‪:‬‬
‫‪+ε‬ﺃ‪+‬ﺏﺱ=‪ỳ‬‬
‫ﺍﻟﻤﺘﻐﻴﺮﺍﺕ= ‪ỳ ، x‬‬
‫ﺃ ‪،‬ﺏ = ﺛﻮﺍﺑﺖ ﻭ ﺧﻄﺄ‬
‫ﻳﻤﻜﻦﺍﻟﺤﺼﻮﻝ ﻋﻠﻰ ﺍﻟﺜﻮﺍﺑﺖ ﻣﻦ ﻋﺪﺓ ﻃﺮﻕ ﻣﺜﻞ ﻃﺮﻳﻘﺔ ﺍﻟﺘﺮﺑﻴﻊ ﺍﻟﺼﻐﺮﻯ ﻭﺍﻟﻤﺼﻔﻮﻓﺔ‪.‬‬
‫ﺍﺳﺘﺨﺪﺍﻡﻃﺮﻳﻘﺔ ﺍﻟﺘﺮﺑﻴﻊ ﺍﻟﺼﻐﺮﻯ ﻹﻳﺠﺎﺩ ‪ a‬ﻭ ‪ b‬ﻭ ‪ c‬ﻭ ‪n‬‬
‫‪19‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫‪-1‬ﻗﻢ ﺑﺘﺤﻮﻳﻞ ﺍﻟﻤﻌﺎﺩﻟﺔ ﺇﻟﻰ ﺻﻴﻐﺔ ﻣﻌﺎﺩﻟﺔ ﺍﻟﺨﻂ ﺍﻟﻤﺴﺘﻘﻴﻢ‪:‬‬
‫ﺹ= ﺍﻟﻔﺄﺱ ‪ +‬ﺏ‬
‫‪-2‬ﺛﻢ ‪y = A ∑x + NB‬‬
‫‪ +2∑XY = A ∑ X‬ﺏ ∑‪x‬‬
‫‪-3‬ﺑﻌﺪ ﺣﻞ ﺍﻟﻤﻌﺎﺩﻟﺘﻴﻦ ﺍﻷﺧﻴﺮﺗﻴﻦ‪:‬‬
‫ﺏ= ‪ - ỳ‬ﻓﺄﺱ‬
‫‪∑ = "x‬‬
‫"‬
‫ﺃ=‬
‫∑=‪ỳ‬‬
‫∑ ‪ỳ′ −‬‬
‫∑‬
‫‪′-‬‬
‫ﺍﻟﺸﺪﺓ‪ -‬ﺍﻟﻤﺪﺓ ‪ -‬ﺍﻟﺘﺮﺩﺩ )‪(IDF‬‬
‫ﺗﺤﺘﺎﺝﺍﻟﻬﻴﺎﻛﻞ ﺍﻟﻤﺼﻤﻤﺔ ﻟﻠﺘﺤﻜﻢ ﻓﻲ ﺃﺣﺠﺎﻡ ﻭﺗﺪﻓﻘﺎﺕ ﻣﻴﺎﻩ ﺍﻷﻣﻄﺎﺭ ﺇﻟﻰ ﻣﻌﺎﻳﻴﺮ ﻛﻤﻴﺔ ﻟﺘﺤﺪﻳﺪ ﺣﺠﻤﻬﺎ‪.‬‬
‫ﻳﻤﻜﻦﺭﺑﻂ ﻣﻌﻠﻤﺘﻴﻦ ﻣﻬﻤﺘﻴﻦ ﻟﻤﻴﺎﻩ ﺍﻟﻌﻮﺍﺻﻒ ‪ ،‬ﺍﻟﺸﺪﺓ ﻭﺍﻟﻤﺪﺓ ‪ ،‬ﺇﺣﺼﺎﺉﻴﺎً ﺑﺘﻜﺮﺍﺭ ﺍﻟﺤﺪﻭﺙ‪ .‬ﺍﻟﺘﻤﺜﻴﻞ ﺍﻟﺮﺳﻮﻣﻲ‬
‫ﻟﻬﺬﻩﺍﻟﻌﻼﻗﺔ ﻫﻮ ﺗﺮﺩﺩ‪-‬ﻣﺪﺓ‪-‬ﺷﺪﺓ )‪ .(IDF‬ﻣﻨﺤﻨﻰ ‪ IDF‬ﻫﻮ ﺭﺳﻢ ﺑﻴﺎﻧﻲ ﻟﻤﺘﻮﺳﻂ ﻛﺜﺎﻓﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻣﻘﺎﺑﻞ‬
‫ﻣﺪﺓﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﺘﻜﺮﺍﺭ ﺣﺪﻭﺙ ﻣﺨﺘﻠﻒ ﻣﻮﺿﺢ ﻓﻲ ﺍﻟﺸﻜﻞ‪ .‬ﺃﻗﻞ‪.‬‬
‫ﺷﺪﺓﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫)ﻣﻢ ‪ /‬ﺳﺎﻋﺔ(‬
‫‪50‬ﺳﻨﺔ‬
‫‪25‬ﺳﻨﺔ‬
‫‪10‬ﺳﻨﻮﺍﺕ‬
‫ﺍﻟﻮﻗﺖ)ﺳﺎﻋﺔ(‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﻓﻲﺍﻟﻮﻗﺖ ﺍﻟﺬﻱ ﺗﻨﺨﻔﺾ ﻓﻴﻪ ﺍﻟﻜﺜﺎﻓﺔ ﻷﻱ ﺗﺮﺩﺩ ‪ ،‬ﻳﻤﻜﻦ ﺍﻟﺘﻌﺒﻴﺮ ﻋﻦ ﻫﺬﺍ ﺍﻟﻤﻨﺤﻨﻰ ﺑﺎﻟﺼﻴﻐﺔ ﺍﻟﺘﺎﻟﻴﺔ‪:‬‬
‫ﺃﻧﺎ=‬
‫( ‪) +‬‬
‫ﺣﻴﺚ‪ = I:‬ﺍﻟﻜﺜﺎﻓﺔ )ﻣﻢ ‪ /‬ﺳﺎﻋﺔ(‪.‬‬
‫‪.‬ﺍﻟﺘﺮﺩﺩ)ﺳﻨﻮﺍﺕ( = ‪T‬‬
‫ﺭ= ﺍﻟﻤﺪﺓ )ﺳﺎﻋﺎﺕ(‪.‬‬
‫ﻳﺨﺘﻠﻒﻣﻌﺎﻣﻞ ‪ a‬ﻭ ‪ b‬ﻭ ‪ m‬ﻭ ‪ n‬ﻣﻦ ﻣﻨﻄﻘﺔ ﺇﻟﻰ ﺃﺧﺮﻯ‪.‬‬
‫ﺍﻟﺸﻜﻞﺍﻟﺸﺎﺉﻊ ﻟﻠﻤﻌﺎﺩﻟﺔ ﺍﻷﺧﻴﺮﺓ ﺍﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻲ ﺍﻟﺘﺤﻠﻴﻞ ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻲ ﻫﻮ ﺍﻟﺬﻱ ﺣﺪﺩ ﺗﻮﺍﺗﺮ‬
‫ﺍﻟﺤﺪﻭﺙ ‪،‬ﻭﺑﺎﻟﺘﺎﻟﻲ ﻧﺤﺬﻑ ‪ T‬ﻭ ‪ m‬ﻣﻦ ﺍﻟﻤﻌﺎﺩﻟﺔ ﻭﻧﻔﺘﺮﺽ ﺃﻥ ﺍﻷﺱ ‪ n‬ﻳﺴﺎﻭﻱ ﻭﺣﺪﺓ ﻣﺘﺴﺎﻭﻳﺔ ﻣﻤﺎ ﻳﺆﺩﻱ ﺇﻟﻰ‪:‬‬
‫ﺍﻭﺃﻧﺎ=‬
‫ﻫﻨﺎﻙﺻﻴﻎ ﺃﺧﺮﻯ ﺗﺮﺑﻂ ﺍﻟﻌﻤﻖ ﻭﺍﻟﻤﺪﺓ ﻭﺍﻟﺘﻜﺮﺍﺭ ﻭﻓﺘﺮﺓ ﺍﻹﺭﺟﺎﻉ ﺇﺣﺪﺍﻫﺎ ﻫﻲ ﺻﻴﻐﺔ ﺑﻠﻬﺎﻡ ﻛﺎﻟﺘﺎﻟﻲ‪:‬‬
‫ﻥ= = ‪.‬‬
‫∗ ( ‪) + .‬‬
‫‪. −‬‬
‫ﺃﻳﻦ‪:‬‬
‫‪.‬ﻋﺪﺩﺍﻟﺤﺪﻭﺙ ﻓﻲ ‪ 10‬ﺳﻨﻮﺍﺕ = ‪N‬‬
‫ﻓﺘﺮﺓﺍﻹﺭﺟﺎﻉ ﺃﻭ ﺍﻟﻤﺪﺓ ﻓﻲ )ﺑﺎﻟﺪﻗﺎﺉﻖ( = ‪T‬‬
‫‪.‬ﺍﻟﻌﻤﻖ)ﻣﻢ( = ‪P‬‬
‫ﺭ= ﺍﻟﻤﺪﺓ )ﺳﺎﻋﺔ(‪.‬‬
‫)=‬
‫‪∗ . )P‬‬
‫(( ^ ‪. /‬‬
‫ﺃﻧﺎ= ﻛﺜﺎﻓﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ )ﻣﻢ ‪ /‬ﺳﺎﻋﺔ(‬
‫‪10‬‬
‫‪. -‬‬
‫ﺃﻧﺎ=‬
‫)ﻣﻢ ‪ /‬ﺳﺎﻋﺔ(‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺗﺮﺩﺩﻧﻘﻄﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‬
‫ﻓﻲﺍﻟﻌﺪﻳﺪ ﻣﻦ ﺗﻄﺒﻴﻘﺎﺕ ﺍﻟﻬﻨﺪﺳﺔ ﺍﻟﻬﻴﺪﺭﻭﻟﻴﻜﻴﺔ ﻣﺜﻞ ﺗﻠﻚ ﺍﻟﻤﺘﻌﻠﻘﺔ ﺑﺎﻟﻔﻴﻀﺎﻧﺎﺕ ‪ ،‬ﺍﺣﺘﻤﺎﻝ ﺣﺪﻭﺙ ﻫﻄﻮﻝ‬
‫ﺃﻣﻄﺎﺭﻏﺰﻳﺮﺓ ﻣﻌﻴﻨﺔ‪ .‬ﻳﺘﻢ ﺍﻟﺤﺼﻮﻝ ﻋﻠﻰ ﻫﺬﻩ ﺍﻟﻤﻌﻠﻮﻣﺎﺕ ﻣﻦ ﺧﻼﻝ ﺗﺤﻠﻴﻞ ﺍﻟﺘﺮﺩﺩ ﻟﺒﻴﺎﻧﺎﺕ ﻧﻘﻄﺔ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ‪.‬‬
‫ﺍﻟﻮﻗﺖ)ﺑﺎﻟﺴﻨﻮﺍﺕ(‬
‫ﺇﺫﺍﻛﺎﻥ ﺍﺣﺘﻤﺎﻝ ﻭﻗﻮﻉ ﺣﺪﺙ )‪ (P‬ﻳﺴﺎﻭﻱ ﺣﺠﻤﻪ ﺃﻭ ﻳﺰﻳﺪ ﻋﻦ ﺍﻟﺤﺠﻢ ﺍﻟﻤﺤﺪﺩ ‪ .X‬ﺗﻌُﺮﻑَّ ﻓﺘﺮﺓ ﺍﻟﻌﻮﺩﺓ ‪ T‬ﻋﻠﻰ ﺍﻟﻨﺤﻮ‬
‫ﺍﻟﺘﺎﻟﻲ‪:‬‬
‫‪=1/‬‬
‫ﻭﺑﺎﻟﺘﺎﻟﻲ ‪،‬ﺇﺫﺍ ﻗﻴﻞ ﺃﻥ ﻓﺘﺮﺓ ﻋﻮﺩﺓ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺍﻟﺒﺎﻟﻐﺔ ‪ 20‬ﺳﻢ ﻓﻲ ‪ 24‬ﺳﺎﻋﺔ ﻫﻲ ‪ 10‬ﺳﻨﻮﺍﺕ ﻓﻲ ﻣﺤﻄﺔ‬
‫ﻣﻌﻴﻨﺔ‪ ، A‬ﻓﻬﺬﺍ ﻳﻌﻨﻲ ﺃﻧﻪ ﻓﻲ ﺍﻟﻤﺘﻮﺳﻂ ﺗﺴﺎﻭﻱ ﻣﻘﺎﺩﻳﺮ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﺃﻭ ﺗﺰﻳﺪ ﻋﻦ ‪ 20‬ﺳﻢ ﻓﻲ ‪ 10‬ﺳﻨﻮﺍﺕ ‪،‬‬
‫ﺃﻱﻓﻲ ﻓﺘﺮﺓ ﻃﻮﻳﻠﺔ ﻟﻤﺪﺓ ‪ 100‬ﻋﺎﻡ ‪ ،‬ﻳﻤﻜﻦ ﺗﻮﻗﻊ ‪ 10‬ﺃﺣﺪﺍﺙ ﻣﻦ ﻫﺬﺍ ﺍﻟﻘﺒﻴﻞ‪ .‬ﻭﻣﻊ ﺫﻟﻚ ‪ ،‬ﻓﺈﻥ ﻫﺬﺍ ﻻ ﻳﻌﻨﻲ ﺃﻧﻪ‬
‫ﻣﻦﺍﻟﻤﺤﺘﻤﻞ ﺣﺪﻭﺙ ﺣﺪﺙ ﻭﺍﺣﺪ ﻣﻦ ﻫﺬﺍ ﺍﻟﻘﺒﻴﻞ ﻛﻞ ‪ 10‬ﺳﻨﻮﺍﺕ ‪ ،‬ﺃﻱ ﺃﻥ ﺍﻟﺘﻮﺍﺗﺮ ﻟﻴﺲ ﺿﻤﻨﻴﺎً‪ .‬ﺍﺣﺘﻤﺎﻝ‬
‫ﺳﻘﻮﻁﺃﻣﻄﺎﺭ ‪ 20‬ﺳﻢ ﻓﻲ ‪ 24‬ﺳﺎﻋﺔ ﻓﻲ ﺃﻱ ﻋﺎﻡ ﻓﻲ ﺍﻟﻤﺤﻄﺔ ‪ A‬ﻫﻮ‪:‬‬
‫‪=1/‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
‫ﺍﺣﺘﻤﺎﻝﻭﻗﻮﻉ ﺍﻟﺤﺪﺙ )ﻻ ﻳﺤﺪﺙ( ﻓﻲ ﺳﻨﺔ ﻣﻌﻴﻨﺔ ﻫﻮ )‪(q = 1 –P‬‬
‫‪=1-‬‬
‫ﺍﺣﺘﻤﺎﻝﻭﻗﻮﻉ ﺍﻟﺤﺪﺙ ‪ r‬ﻣﺮﺍﺕ ﻓﻲ ‪ n‬ﺳﻨﻮﺍﺕ ﻣﺘﺘﺎﻟﻴﺔ ﻫﻮ‪:‬‬
‫‪،‬‬
‫=‬
‫!‬
‫! !( ‪) -‬‬
‫‪−‬‬
‫ﻓﻤﺜﻼ ‪:‬‬
‫ﺃ‪.‬ﺍﺣﺘﻤﺎﻟﻴﺔ ﺣﺪﻭﺙ ﺣﺪﺙ ﺗﺠﺎﻭﺯ ﺍﺣﺘﻤﺎﻟﻴﺔ ﺣﺪﻭﺙ ‪ P‬ﻣﺮﺗﻴﻦ ﻓﻲ ‪ n‬ﺳﻨﻮﺍﺕ ﻣﺘﺘﺎﻟﻴﺔ ﻫﻮ‪:‬‬
‫‪=2 ،‬‬
‫!‬
‫!‪) - 2(! 2‬‬
‫‪−2 2‬‬
‫ﺏ‪.‬ﺍﺣﺘﻤﺎﻝ ﻋﺪﻡ ﻭﻗﻮﻉ ﺣﺪﺙ ﻋﻠﻰ ﺍﻹﻃﻼﻕ ﻓﻲ ‪ n‬ﺳﻨﻮﺍﺕ ﻣﺘﺘﺎﻟﻴﺔ ﻫﻮ‪:‬‬
‫‪0،‬‬
‫= ( ‪= )1 -‬‬
‫ﺝ‪.‬ﺍﺣﺘﻤﺎﻝ ﻭﻗﻮﻉ ﺣﺪﺙ ﻣﺮﺓ ﻭﺍﺣﺪﺓ ﻋﻠﻰ ﺍﻷﻗﻞ ﻓﻲ ﺱ ﺳﻨﻮﺍﺕ ﻣﺘﺘﺎﻟﻴﺔ‪:‬‬
‫‪1‬‬
‫‪= 1 - )1 - ( = 1 -‬‬
‫ﻣﺜﺎﻝ‪:‬ﺗﺤﻠﻴﻞ ﺍﻟﺒﻴﺎﻧﺎﺕ ﺍﻟﺨﺎﺻﺔ ﺑﻌﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻟﻴﻮﻡ ﻭﺍﺣﺪ ﻛﺤﺪ ﺃﻗﺼﻰ ﻓﻲ ﻣﻨﻄﻘﺔ ﻣﺤﺪﺩﺓ ﻋﻠﻰ ﻋﻤﻖ‬
‫‪280‬ﻣﻠﻢ ﻭﻓﺘﺮﺓ ﻋﻮﺩﺓ ﺗﺒﻠﻎ ‪ 50‬ﻋﺎﻣﺎً‪ .‬ﺣﺪﺩ ﺍﺣﺘﻤﺎﻟﻴﺔ ﺃﻥ ﻳﻜﻮﻥ ﻋﻤﻖ ﻫﻄﻮﻝ ﺍﻷﻣﻄﺎﺭ ﻓﻲ ﻳﻮﻡ ﻭﺍﺣﺪ ﻳﺴﺎﻭﻱ ﺃﻭ‬
‫ﻳﺰﻳﺪﻋﻦ ‪ 280‬ﻣﻠﻢ ﻓﻲ ﻫﺬﻩ ﺍﻟﻤﻨﻄﻘﺔ )ﺃ( ﻣﺮﺓ ﻭﺍﺣﺪﺓ ﻛﻞ ‪ 20‬ﺳﻨﺔ ﻣﺘﺘﺎﻟﻴﺔ ‪) ،‬ﺏ( ﻣﺮﺗﻴﻦ ﻓﻲ‬
‫‪15‬ﺳﻨﺔ ﻣﺘﺘﺎﻟﻴﺔ ‪ ،‬ﻭ )ﺝ( ﻣﺮﺓ ﻭﺍﺣﺪﺓ ﻋﻠﻰ ﺍﻷﻗﻞ ﻛﻞ ‪ 20‬ﺳﻨﺔ ﻣﺘﺘﺎﻟﻴﺔ‪.‬‬
‫‪11‬‬
‫ﺍﻟﻤﺤﺎﺿﺮ‪:‬ﺩ‪ .‬ﺳﻌﺪ ﺷﻮﻛﺖ ﺻﻤﻦ‬
‫ﺍﻟﻬﻴﺪﺭﻭﻟﻮﺟﻴﺎﺍﻟﻬﻨﺪﺳﻴﺔ‬
‫ﺍﻟﻤﺤﻠﻮﻝ‪:‬‬
‫‪11‬‬
‫ﻣﻬﻨﺪﺱﻣﺪﻧﻲ‪ .‬ﻗﺴﻢ ‪3 /‬ﺑﺤﺚ ﻭﺗﻄﻮﻳﺮ ﻓﺼﻞ‬
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