استفاده از رفع نویز موجکی در بررسی روند تراز آب زیرزمینی (مطالعه موردی: دشت اردبیل)

نوع مقاله : مقاله پژوهشی

نویسنده

گروه مهندسی عمران، واحد اردبیل، دانشگاه آزاد اسلامی، اردبیل، ایران

چکیده

     هدف از این تحقیق، بررسی روند موجود در تراز آب زیرزمینی در مقیاس ماهانه در پانزده پیزومتر دشت اردبیل با استفاده از انواع روش­های ناپارامتری مان-کندال از جمله MK1، MK2 و MK3 در ترکیب با روش­های تبدیل موجک گسسته و خوشه­بندی Kmeans می­باشد. ابتدا روش خوشه­بندی برای کلاس­بندی پارامتر تراز آب زیرزمینی به خوشه­های همگن استفاده شد. سپس از روش­های مختلف ناپارامتری برای تعیین روند در پیزومترهای نمونه استفاده گردید. در مرحله بعد با استفاده از تبدیل موجک، بعد از انجام رفع نویز موجکی برای تمام پیزومترهای مرکزی روند با استفاده از سه مدل ناپارامتری برای سری­های رفع نویز شده انجام شد. نتایج روند منفی را در منطقه مورد مطالعه نشان داد. با حذف تمامی ضرایب خود همبستگی­های معنی­دار از سری­های زمانی در آزمون MK3 از شدت روند منفی تراز نسبت به آزمون MK1 به طور متوسط 2/80 درصد کاسته شد. استفاده از رفع نویز در سری­های تراز آب زیرزمینی از شدت روند منفی آن­ها به ترتیب در آزمون­های MK1، MK2 و MK3 به طور متوسط به میزان 56/12، 38/20 و 22/27 درصد کاست.

کلیدواژه‌ها

عنوان مقاله [English]

Using wavelet based de-noising to identify the trend of ground water level (case study: Ardabil plain)

نویسنده [English]

  • Farnaz Daneshvar Vousoughi
Department of Civil Engineering, Ardabil Branch, Islamic Azad University, Ardabil, Iran.
چکیده [English]

Ardabil plain)
Groundwater is an important source of fresh water to meet the demands of growing industries such as agriculture, fisheries, mining, and manufacturing and the municipal water demands due to rise in population in different parts of the world. Efficient management of groundwater is an essential task in different regions, especially in arid and semi-arid climates that faces chronic shortage of fresh water. Thus, the detection of trends in groundwater levels is very essential in order to constantly monitor the levels of the ground water table.
Nowadays, there are different statistical methods for trend analyzing hydrological time series such as t-test, regression analysis, Pearson correlation coefficient, the Spearman’s Rho, Sen’s slope, Wald–Wolfowitz and most commonly used method of Mann–Kendall (MK). Mann-Kendall (MK) test was introduced and developed by Mann (1945) and Kendall (1975), respectively. The advantage of this method is that it does not follow any specific statistical distribution. It has been widely used to analyze the monotonic trends in hydrological time series. The MK1 test for trend detection assumes that the sample data are serially independent, even though a few hydrological series show significant serial correlation. An alternative MK test is to remove first the serial correlation such as lag-1 auto regression or higher-order process from the time series prior to application of the test that its name is MK2. MK3 test is to remove all the serial correlation from the time series prior to application of the test.The objectives of the present study are: (1) to identify the trends and magnitude of trends in groundwater levels on monthly time scales with three variations of Mann-Kendall test include: (i) Mann–Kendall without autocorrelation, (ii) Mann–Kendall with lag-1 autocorrelation and trend-free pre-whitening, (iii) Mann–Kendall wi

کلیدواژه‌ها [English]

  • Ardabil plain
  • de-noising
  • Non-parametric test
  • wavelet transform

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هیدروژئولوژی
دوره 5، شماره 1
شهریور 1399
صفحه 61-72

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