استخراج یک مدل تحلیلی برای ارزیابی انتقال آلاینده ها از بدنه و مخازن سری بندهای گابیونی

در این تحقیق سعی شد تا با استفاده از یک مدل آزمایشگاهی و توسعه یک مدل تحلیلی بر مبنای معادلات دیفرانسیل مدل ذخیره‌ موقت، به بررسی کارائی این مدل در فرآیند‌های انتقال و پراکندگی آلودگی در مخازن سری پرداخته شود. مدل تحلیلی مذکور با استفاده از تبدیل لاپلاس بر روی معادلات دیفرانسیل حل شد و با استفاده از داده‌های آزمایشگاهی برداشت شده در دو مخزن سری سنگدانه‌ای، ارزیابی کاملی بر روی کارائی و مقادیر پارامتر‌های مدل انجام گردید. سدهای ایجاد شده در فلوم آزمایشگاهی با استفاده از سه دانه‌بندی مختلف با اقطار 1/1، 2/3 و 3/6 سانتی‌متر ایجاد شد سایر پارامتر‌های آزمایشگاهی شامل چهار دبی به میزان 7، 9، 11 و 13/5 لیتر بر ثانیه و سه غلظت اولیه تزریقی به میزان 100، 140 و 200 گرم بر لیتر بودند. مقدار متوسط سرعت عبوری، ضریب انتشار طولی و لگاریتم ضریب تبادل جرم مابین منطقه ذخیره‌ای و بدنه اصلی جریان در جریان عبوری از سد‌ها با توجه به مدل تحلیلی حاضر به ترتیب برابر با cm/s 4، cm2/s2/4 ، -10/5 بدست آمد. تطابق منحنی‌های غلظتزمان حاصل از حل تحلیلی انجام شده با استفاده از پارامتر‌های جذر میانگین مربعات خطا و شاخص نشساتکلیف مورد ارزیابی قرار گرفت و مقادیر آنها به ترتیب برابر با 0/21 و 0/7 استخراج شد که حاکی از قابلیت مطلوب مدل توسعه پیدا کرده برای فرآیند‌های انتقال و پراکندگی دارد.

Derivation of an analytical solution for evaluation of the pollution transport in the interconnected reservoirs and rockfill bodies of gabion dams

In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and 10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and NashSutcliff, having the values of 0.21 and 0.7, respectively. In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and 10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and NashSutcliff, having the values of 0.21 and 0.7, respectively. In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and 10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and NashSutcliff, having the values of 0.21 and 0.7, respectively. In the present research, it was tried to evaluate the pollution transport in the interconnected reservoirs by deriving a theoretical solution based on the TS model partial differential equations and by conducting an experimental model. The theoretical model has been solved by operation of the Laplace transform to the PDE equations, and a complete evaluation of the model applicability and the parameters’ magnitudes have been fulfilled using experimental data series of two interconnected reservoirs. The created rockfill dams in the laboratory flume have been produced using three different median diameters of the 1.1, 2.3, and 3.6 cm. The other experiment variables were the entrance discharges as 7, 9, 11, and 13.5 l/s and linear source concentration of the 100, 140, and 200 gr/l. The mean values of the velocities, dispersion coefficients, and the logarithm of the mass transfer coefficients between the storage area and the main flow have been determined as 4 cm/s, 2.4 cm2/s, and 10.5 respectively. The corresponding of the experimental breakthrough curves with theoretical ones have been assessed and confirmed using statistical parameters of the RMSE and NashSutcliff, having the values of 0.21 and 0.7, respectively.