مدل سازی سطح آب در آبخوان بین دو کانال با استفاده از روش Differential Quadrature

نوع مقاله : مقاله پژوهشی

نویسندگان

1 علم و صنعت ایران

2 دانشگاه خلیج فارس

3 علم و صنعت ابران

چکیده

تعیین موقعیت هندسی سطح آب در پروژه‌ها و زمین‌های کشاورزی از دیرباز مورد توجه ویژه محققین و مهندسین بوده است. این امر معمولاً با ساده‌سازی معادلات حاکم بر جریان در محیط متخلخل و حل تحلیلی آنها و یا با بکاربردن روش‌های عددی مانند تفاضلات محدود و حل معادله دیفرانسیل غیرخطی بوزینسک انجام شده است. در این تحقیق از روش عددی Differential Quadrature که در سایر زمینه‌های علمی مانند مکانیک جامدات توسعه یافته، جهت تعیین عمق سطح ایستابی بین دو کانال آبیاری موازی در یک آبخوان با کف ناتراوا (مسطح و شیبدار) در حضور و عدم حضور تغذیه سطحی بکار رفته است. سپس نتایج حاصل از آن با نتایج حل تحلیلی و حل عددی به روش تفاضالات محدود مقایسه شده که نتایج رضایت بخشی از این قیاس بدست آمده است. از مزایای این روش، تعداد به‌مراتب کمتر گره‌های شبکه بدون از دست دادن دقت مسئله و در نتیجه کاهش زمان محاسبات و هزینه می‌باشد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Modeling Water Table Rise Between Two Canal In Aquifer with Differential Quadrature Method.

نویسندگان [English]

  • davood moshirpanahi 1
  • S.hamed Meraji 2
  • Abass Ghaheri 3
چکیده [English]

In many of agricultural land water table is raised because of seepage from canal and surface recharge. This raised is gradually caused some problem appear in land such as waterlogging and salinity, ultimately leading to land degradation. Therefore development of agriculture and economics in that region are endangered. It is necessary before problems appear engineers and researchers consider the variation of the groundwater table.In this article that problem has selected which shows an aquifer lied on a slopping impervious barrier which is discharged by a constant discharge from the surface and two canals with (L) horizontal distance. The initial water table is located horizontally h0 above the either horizontal or slopping bottom. After recharge and canal commencement, water table starts to rise. The rate of rising depends on the rate and duration of recharge and seepage from canal.
In this article, application of DQM in discretization of governing equations for chosen case study and formulation of the problem is presented. For further comparison and find more reliable answer are used three method for discretization of governing equation:1-Explicit Scheme,2-Implicit Scheme,3-Semi Implicit Crank Nicholson Scheme.
This investigation confirm that DQM has vast capability and simplicity to produce accurate results which is satisfactory compatible with Finite Difference numerical model as well as whit analytical solution while is highly efficient in time and low cost of running. The discretization scheme in this method does not establish large sets of simultaneous equation to be solved and is not sensitive to the number of grids in its mesh. There for with a very small number of grids comparing to a very large number of required grids in Finite Difference scheme produce very accurate results close to analytical solution results and create exactly the same results as Finite Difference scheme produce.

کلیدواژه‌ها [English]

  • Boussinesq equation
  • Numerical Modeling
  • DQM

مراجع

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تحقیقات آب و خاک ایران
دوره 47، شماره 2
مرداد 1395
صفحه 307-317

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