واسنجی هیدرولیک جریان و رسوب مدل ریاضی شبه دوبعدی شیونو و نایت در رودخانه زارم‌رود

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی آب دانشکده آب و خاک دانشگاه علوم کشاورزی و منابع طبیعی گرگان

2 گروه مهندسی آب، دانشکده مهندسی آب و خاک، دانشگاه علوم کشاورزی و منابع طبیعی گرگان،

3 گروه مهندسی آب، دانشکده مهندسی آب و خاک، دانشگاه علوم کشاورزی و منابع طبیعی گرگان

4 گروه مهندسی آب، دانشگاه علوم کشاورزی و منابع طبیعی گرگان، گرگان، ایران

10.22125/iwe.2023.173241

چکیده

در این تحقیق محاسبه دبی جریان و رسوب (بار معلق و بار کل) رودخانه زارم­رود در استان مازندران به کمک مدل ریاضی شبه­دوبعدی شیونو و نایت مورد بررسی قرار گرفته است. این مدل بر مبنای معادلات پیوستگی و مومنتوم ناویر-استوکس بوده و به صورت متوسط در عمق ساده شده است. برای این منظور با استفاده از روش اجزاء محدود، مدل ریاضی مذکور حل عددی شده و پروفیل­های عرضی سرعت جریان در رودخانه زارم­رود در محل ایستگاه هیدرومتری گرم­رود واسنجی شد. مقایسه نتایج مدل مذکور در دبی­های مختلف جریان با داده­های اندازه­گیری شده حاکی از دقت بالای مدل در برآورد توزیع عرضی سرعت جریان است. سپس با استفاده از توزیع عرضی سرعت محاسباتی، توزیع عرضی بار معلق و بار کل شبیه­سازی شد. نتایج نشان داد که از میان 5 رابطه تجربی بار معلق مورد مطالعه، رابطه رسوبی اینشتین (1950) در هر دو حالت مدل­سازی یک­بعدی و شبه­دوبعدی دارای بهترین دقت است. این رابطه در حالت یک­بعدی با انحراف معیار نسبت ناجوری 56/0 درصد نسبت به روابط رسوبی راس (1937) و بروکس (1963) به ترتیب با انحراف معیار 52/0 و 47/2 درصد از دقت بالاتری برخوردار می­باشد. در نهایت از میان 5 رابطه تجربی بار کل مورد مطالعه، روابط رسوبی میر- پیتر و مولر (1973)، ایکرز- وایت (1973) و /انگلوند و هانسن (1967) به ترتیب با نسبت ناجوری 67/66، 67/41 و 67/16 بهترین نتایج را در حالت یک بعدی ارائه نمودند که دقت هر سه روش مذکور نیز در حالت دوبعدی بهتر از حالت یک بعدی بوده است. نهایتا مشخص شد که دقت مدل­سازی بار معلق و بار کل در حالت شبه­دوبعدی از یک­بعدی بیشتر است که نشان دهنده تاثیر بالای مدل شیونو و نایت در شبیه­سازی هیدرولیک جریان و رسوب می­باشد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Calibration of Hydraulic Flow and Sediment of Quasi-Two-Dimensional Model of Shiono and Knight in Zaremrood River

نویسندگان [English]

  • morteza nabizadeh valukolaei 1
  • , Abdolreza Zahiri 2
  • Amir Ahmad Dehghani 3
  • Mahdi Meftah 4
1 Dep. of Water Engineering, Faculty of Water and Soil, Gorgan University of Agricultural Sciences and Natural Resources, Golestan.
2 Department of Water Engineering., Faculty of Soil and Water Engineering, Gorgan University of Agricultural Sciences and Natural Resources, Iran
3 Department of Water Engineering., Faculty of Soil and Water Engineering, Gorgan University of Agricultural Sciences and Natural Resources
4 Department of Water Engineering., Faculty of Soil and Water Engineering, Gorgan University of Agricultural Sciences and Natural Resources
چکیده [English]

In this study, the calculation of hydraulic flow and sediment (suspended load and total load) of Zaremrood river located in Mazandaran province has been investigated using Shiono and Knight quasi-two-dimensional model. This model is based on the Navier-Stokes continuity and momentum equations and is simplified by depth averaged concept. For this purpose, using the finite element method, this model was solved numerically and the lateral velocity distribution were calibrated at the Garmrood hydrometric station. Comparison of obtained results by Shiono and Knight model in different flow discharges against measured data indicates the high accuracy of the model for lateral velocity distribution. Afterward, by using the computed lateral velocity distribution, the distribution of suspended load and total load across the river was simulated. The results showed that among the 5 empirical suspended load equations selected in this study, the Einstein formula (1950) has the best accuracy in both one and quasi-two-dimensional modeling cases. This relationship in one-dimensional state with standard deviation of discrepancy ratio of 0.56% has a higher accuracy than the Rouse (1937) and Brooks (1963) sedimentary relations with a standard deviation of 0.52% and 2.47%, respectively. Finally, among the 5 experimental relationships of the total load studied, Meyer-Peter-Muller (1973), Ackers-White (1973) and Engelund-Hansen (1967) sedimentary relationships with discrepancy ratios of 66.67, 41.67 and 16.67, respectively presented the best results in one-dimensional mode, and the accuracy of all three methods was better in two-dimensional mode than in one-dimensional mode. Finally, it was found that the accuracy of suspended load and total load modeling in quasi-two-dimensional mode is more than one-dimensional, which shows the high impact of Shiono and Knight model in simulation of hydraulic flow and sediment.
 

کلیدواژه‌ها [English]

  • Keywords: Suspended Load Empirical Relationships
  • Total load
  • Quasi two-dimensional Modeling
  • Shiono and Knight Model
  • Zaremrood river
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