ارزیابی خطای برآورد در تعدادی از مدل‌های توزیع اندازه ذرات برای توصیف دانه‌بندی رسوبات آبی

نویسنده

استادیار دانشگاه ارومیه

چکیده

توزیع اندازه ذرات رسوب از فاکتورهای کلیدی رسوب محسوب شده و بسیاری از ویژگی­های مربوط به رسوبات از جمله ویژگی­های هیدرولیکی و الکتریکی و ویژگی­های مرتبط با فرسایش و قابلیت انتقال آنها را تحت تأثیر قرار می­دهد. هدف از این مطالعه مقایسه­ی تحلیلی خطای برآورد در تعدادی از مدل­های ریاضی توزیع اندازه ذرات در توصیف رسوبات انباشته شده در پشت بندهای رسوبگیر متوالی بود. برای این منظور 20 نمونه رسوب از چهار آبراهه­ی فصلی در مناطق نوشان و انبی ارومیه تهیه شده و توزیع اندازه ذرات آن­ها به روش هیدرومتری تعیین شد. به منظور بررسی کارایی مدل­ها از ضرایب کارایی با ماهیت متفاوت استفاده شد. خوشه­بندی سلسله مراتبی مدل­ها براساس منتخب نشان داد که 6 مدل ویبول، فردلاند، ویبول اصلاح شده،ون­گنوختن، ONL و ORL نسبت به سایر مدل­ها کارایی بهتری داشتند. در بین این مدل­ها نیز مدل ویبول دارای برتری نسبی در مقایسه با سایرین بود. کارایی مدل­های برگزیده از نظر ضریب تبیین با افزایش درصد شن (ماسه) در نمونه­های رسوب افزایش یافت. خطای نسبی مدل­ها در دامنه­ی ذرات با قطر 2-005/0 میلیمتر کم بوده و مدل­ها توانایی مطلوبی در پیش­بینی مقدار شن (ماسه) در نمونه­های رسوب داشتند.

کلیدواژه‌ها


عنوان مقاله [English]

Evaluation of Prediction Error in Some Particle Size Distribution Models for River Sediments

نویسنده [English]

  • F. Asadzadeh
Assistant Professor, Urmia University
چکیده [English]

Particle size distribution is a paramount factor in characterization of sediments and may affect many of its properties such as hydraulic and electrical properties and characteristics related to the transportability by erosive agents. The aim of this study was to compare the capability of some mathematical models in describing particle size distribution of sediments trapped behind check-dams. Twenty sediment samples were taken from check-dams of four seasonal waterways in Anbi and Noshan regions of Urmia, Northwestern Iran. Full particle size distribution of sediments samples were determined by hydrometer method. Different aspects of models performance were evaluated by some efficiency criteria. Hierarchical cluster analysis of models based on selected efficiency criteria indicated that the Weibull, Revised-Weibull, Fredlund, van Genuchten, ORL and ONL are the best models in describing sediment particle size distribution. Among the selected models, Weibull was slightly superior with a mean coefficient of determination of 0.986. Efficiency of selected models, based on R2 value, improved with the increasing of sand content in the sediment samples. Relative error of the selected models was the lowest for particles with 0.005-2 mm in diameter, indicating the high performance of models to predict sand content of sediment samples.  

کلیدواژه‌ها [English]

  • Check-dam
  • Mathematical models
  • Models efficiency
  • Weibull model
  1. Abedini, M., Said, M. A. M., Ahmad, F. 2012. Effectiveness of check dam to control soil erosion in a tropical catchment (The Ulu Kinta Basin). Catena, 97: 63-70.
  2. Bird, N. R. A., Perrier, E., Rieu, M. 2000. The water retention function for a model of soil structure with pore and solid fractal distributions. European Journal of Soil Science, 51(1): 55-63.
  3. Boadu F.K. 2000. Hydraulic conductivity of soils from grain-size distribution: new models. Journal of Geotechnical and Geo-environmental Engineering, 126(8): 739-746.
  4. Bombino, G., Tamburino, V., Zimbone, S. M. 2006. Assessment of the effects of check-dams on riparian vegetation in the mediterranean environment: A methodological approach and example application. Ecological engineering, 27(2): 134-144.
  5. Botula, Y. D., Cornelis, W. M., Baert, G., Mafuka, P., Van Ranst, E. 2013. Particle size distribution models for soils of the humid tropics. Journal of Soils and Sediments, 13(4): 686-698.
  6. Cronican, A. E., Gribb, M. M. 2004. Hydraulic conductivity prediction for sandy soils. Ground water, 42(3): 459-464.
  7. Flemming, B. W. 2007. The influence of grain-size analysis methods and sediment mixing on curve shapes and textural parameters: implications for sediment trend analysis. Sedimentary Geology, 202(3): 425-435.
  8. Fredlund, M. D., Fredlund, D. G., Wilson, G. W. 2000. An equation to represent grain-size distribution. Canadian Geotechnical Journal, 37(4): 817-827.
  9. Gee, G. W., Bauder, J. W. 1986. p. 393–394. Particle-size analysis In: A. Klute. (ed.) Methods of soil analysis, Part 1. Physical and Mineralogical Methods. American society of Agronomy. Inc., Madison.
  10. Gupta, A. Yan, D. 2006. Mineral processing design and operation: an introduction. Elsevier, Amsterdam.
  11. Hassanli, A. M., Nameghi, A. E., Beecham, S. 2009. Evaluation of the effect of porous check dam location on fine sediment retention (a case study). Environmental monitoring and assessment, 152(1-4): 319-326.
  12. Hwang, S. I. 2004. Effect of texture on the performance of soil particle-size distribution models. Geoderma, 123(3): 363-371.
  13. Hwang, S. I., Lee, K. P., Lee, D. S., Powers, S. E. 2002. Models for estimating soil particle-size distributions. Soil Science Society of America Journal, 66(4): 1143-1150.
  14. Indraratna, B., Nguyen, V. T., Rujikiatkamjorn, C. 2012. Hydraulic conductivity of saturated granular soils determined using a constriction-based technique. Canadian Geotechnical Journal, 49(5): 607-613.
  15. Krause, P., Boyle, D. P., Bäse, F. 2005. Comparison of different efficiency criteria for hydrological model assessment. Advances in Geosciences, 5: 89-97.
  16. Menéndez-Aguado, J. M., Peña-Carpio, E., Sierra, C. 2015. Particle size distribution fitting of surface detrital sediment using the Swrebec function. Journal of Soils and Sediments, 15(9): 2004-2011.
  17. Nemes, A., Wösten, J. H. M., Lilly, A., Voshaar, J. O. 1999. Evaluation of different procedures to interpolate particle-size distributions to achieve compatibility within soil databases. Geoderma, 90(3): 187-202.
  18. Ouchterlony, F. 2005. The Swebrec function: linking fragmentation by blasting and crushing. Mining Technology, 114(1): 29-44.
  19. Rastgo, M., Bayat, H., Ebrahimi, E. 2014. The Effect of Textural Groups on the Fitting Capability of Soil Particle Size Distribution Curve Models. Journal of Water and Soil. 28(1): 111-126.
  20. Romero-Díaz, A., Marín-Sanleandro, P., Ortiz-Silla, R. 2012. Loss of soil fertility estimated from sediment trapped in check dams. South-eastern Spain. Catena, 99: 42-53.
  21. Shangguan, W., Dai, Y., García-Gutiérrez, C., Yuan, H. 2014. Particle-size distribution models for the conversion of Chinese data to FAO/USDA System. The Scientific World Journal, 2014: 1-11.
  22. Shiozawa, S., Campbell, G. S. 1991. On the calculation of mean particle diameter and standard deviation from sand, silt, and clay fractions. Soil Science, 152(6): 427-431.
  23. Sierra, C., Menéndez-Aguado, J. M., Afif, E., Carrero, M., Gallego, J. R. 2011. Feasibility study on the use of soil washing to remediate the As–Hg contamination at an ancient mining and metallurgy area. Journal of hazardous materials, 196: 93-100.
  24. Sierra, C., Ordóñez, C., Gallego, J. L. R. 2013. Functional outlier detection in grain-size distribution curves of detrital sediments. Sedimentary Geology, 297: 31-37.
  25. Sun, D., Bloemendal, J., Rea, D. K., Vandenberghe, J., Jiang, F., An, Z., Su, R. 2002. Grain-size distribution function of polymodal sediments in hydraulic and aeolian environments, and numerical partitioning of the sedimentary components. Sedimentary Geology, 152(3): 263-277.
  26. Weltje, G. J., & von Eynatten, H. 2004. Quantitative provenance analysis of sediments: review and outlook. Sedimentary Geology, 171(1): 1-11.
  27. Yang, X., Lee, J., Barker, D. E., Wang, X., Zhang, Y. 2012. Comparison of six particle size distribution models on the goodness-of-fit to particulate matter sampled from animal buildings. Journal of the Air & Waste Management Association, 62(6): 725-735.
  28. Zhao, P., Shao, M. A., Omran, W., She, D. 2013. A modified model for estimating the full description of soil particle size distribution. Canadian Journal of Soil Science, 93(1): 65-72.
  29. Zhao, P., Shao, M. A., Horton, R. 2011. Performance of soil particle-size distribution models for describing deposited soils adjacent to constructed dams in the China Loess Plateau. Acta Geophysica, 59(1): 124-138.
  30. Zolfaghari, A., Tirgar-Soltani, M. T., Yazdani, M. R., Soleimani Sardo, E. 2014. Investigation of models for describing soil particle size distribution. Iranian Journal of Soil and Water Research. 45(2): 199-209.