Analytical evaluation of temperal and Spatial Sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows

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Jafari Niloofar Sadat; MAZAHERI MEHDI; MOHAMMAD VALI SAMANI JAMAL

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Journal: Journal of Water and Irrigation Management Year:2019 | Volume:9 | Issue:1 Page(s): 155-169

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Title

Analytical evaluation of temperal and Spatial Sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows

Author(s)

Jafari Niloofar Sadat | MAZAHERI MEHDI | MOHAMMAD VALI SAMANI JAMAL | Issue Writer Certificate

Keywords

Advection-Dispersion EquationQ2

Advection FluxQ1

Dispersion FluxQ1

Sensitivity analysisQ1

Abstract

Longitudinal dispersion coefficient (LDC) is a key element in pollutant transport modeling in streams. The most important factor affecting dispersion coefficient is the hydrodynamic flow. Due to the variability of hydraulic and geometrical parameters of rivers, the dispersion coefficient is a function of time and place, therefore precise calculation in such conditions is difficult and almost impossible. Determining the temporal and spatial importance of the longitudinal dispersion coefficient in pollutant transport in rivers is an important issue which has not been well-studied so far. In this study, the effect of this coefficient on the accuracy of concentration distribution results is evaluated. To do so, using analytical solution of the advectiondispersion equation and extraction of partial derivative of the concentration relative to the dispersion coefficient, the subjected sensitivity was estimated. To validate the proposed method, it is performed for a hypothetical river with two different input pollution time patterns as well as for a real river (Karun River) with a hypothetical and real input pollution intensity function. By applying the presented model for the 50 km interval of the Karun river, the highest percentage error caused by 100 percent variation in the dispersion coefficient was only 4. 8 percent. The results of this study show that accurate estimation of dispersion coefficient is necessary only in some time and place ranges of the river and in most cases precise calculation is not necessary. One of the most important findings of this study is to suggest a practical approach for users that according to the time pattern of input pollutants, times and places sensitivity to the longitudinal dispersion coefficient could be identified.

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APA: Copy

Jafari, Niloofar Sadat, MAZAHERI, MEHDI, & MOHAMMAD VALI SAMANI, JAMAL. (2019). Analytical evaluation of temperal and Spatial Sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows. JOURNAL OF WATER AND IRRIGATION MANAGEMENT, 9(1 ), 155-169. SID. https://sid.ir/paper/240074/en

Vancouver: Copy

Jafari Niloofar Sadat, MAZAHERI MEHDI, MOHAMMAD VALI SAMANI JAMAL. Analytical evaluation of temperal and Spatial Sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows. JOURNAL OF WATER AND IRRIGATION MANAGEMENT[Internet]. 2019;9(1 ):155-169. Available from: https://sid.ir/paper/240074/en

IEEE: Copy

Niloofar Sadat Jafari, MEHDI MAZAHERI, and JAMAL MOHAMMAD VALI SAMANI, “Analytical evaluation of temperal and Spatial Sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows,” JOURNAL OF WATER AND IRRIGATION MANAGEMENT, vol. 9, no. 1 , pp. 155–169, 2019, [Online]. Available: https://sid.ir/paper/240074/en

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