انطباق سنجی خواص ژئومورفولوژیک حوضه آبریز و ویژگیهای چند فراکتال شکل آبراهه

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار /گروه مهندسی عمران-آب دانشگاه آزاد اسلامی واحد مرودشت

2 گروه مهندسی عمران- مهندسی و مدیریت منابع آب، واحد مرودشت، دانشگاه آزاد اسلامی، مرودشت، ایران.

چکیده

هندسه فراکتال به عنوان ابزار کمی مناسب جهت بررسی ژئومورفولوژی زیرحوضه ها و شبکه رودخانه و مدل سازی بسیاری از پدیده های پیچیده طبیعی به کار گرفته می شود. از مهمترین شاخص های چند فراکتالی می توان از بعد تعمیم یافته فراکتال، طیف تکینگی و ضریب مقیاسی نام برد. هدف از این مقاله بررسی و ارزیابی حوضه آبریز وال نات گولچ بر اساس تحلیل چند فراکتال شکل آبراهه و مقایسه انطباقی با شاخص های ژئومورفولوژیک آن می باشد. برای این منظور داده های مورد نیاز در محیط GIS و نرم افزار Arc Map وارد شدند و از کد های توسعه داده شده در محیط MATLAB برای محاسبه شاخص های چند فراکتالی و همچنین بعد فراکتال استفاده شد. روش محاسبه بعد فراکتال مورد استفاده در این پژوهش، روش شمارش جعبه ای می باشد. ابتدا مقادیر بعد فراکتال برای هر یک از زیر حوضه های مورد نظر این منطقه به دست آمد و سپس بررسی چند فراکتال در قالب تحلیل نمودارهای بعد تعمیم یافته، طیف تکینگی و ضریب مقیاسی مستخرج از شکل آبراهه ها انجام گرفته و در نهایت شاخص های مختلف ژئومورفولوژیک اعم از : µ، SL، S، T، BS و Re جهت زیرحوضه های مورد نظر محاسبه شد. نتایج و بررسی های مختلف نشان داد که روابط معنی داری بین این شاخص های ژئومورفولوژیک و تحلیل های چندفراکتالی وجود دارد و به تحقیق می توان جهت سایر حوضه های آبریز این نتیجه بسط داده شود.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Compliance Process of the Geo-morphological indices of the watershed with the Multi-fractal Properties of the River Network

نویسندگان [English]

  • M. H. Fattahi 1
  • S. Kamyab 2
1 Assistant professor, civil engineering department, Islamic Azad University, Marvdasht Branch
2 Civil Engineering Dept., Water Resources Management , Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
چکیده [English]

Fractal geometry is used as a suitable tool for analysis of the sub-basin geomorphology and the river networks characteristics. It is also practical for very other complicated natural phenomena. Some of the most important indices of multi-fractals are generalized fractal dimensions, Singularity spectrum and the scaling coefficient. The main object of this article is the anlysis and evaluation of Walnut Gulch Watershed based on multi-fractal analysis of the river network images and geomorphology characteristics. To achieve this goal we inserted the required data in GIS template and Arc Map software. We also developed MATLAB codes for non-linear analysis. The selected analysis method here to define the fractal dimension of the river networks in the sub-basins is the Box Counting. During this process, first we obtain the fractal dimensions for each of the considered sub-basin with developed MATLAB codes and then the generalized fractal dimensions, Singularity spectrum and the scaling coefficient of the sub-basins are derived. In the last step, sub-basins geomorphologic characteristics such as: µ, SL, S, T, BS and Re are compared to the multi-fractal characteristics. The results showed that significant relationships between the geomorphologic characteristics of the sub-basins with multifractal features which may be extended to other watersheds if more studies are managed.

کلیدواژه‌ها [English]

  • River networks
  • fractal geometry
  • multi-fractals
  • geomorphology characteristics
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