Oran eşleştirme işleyişi ile sızdıran şerit akifer parametre tahmini

Yıl 2023, Cilt: 29 Sayı: 3, 296 - 302, 27.06.2023

A. Ufuk Şahin

Öz

Bu çalışmada, Oran Eşleştirme İşleyişi (OEİ) adı verilen sızdıran şerit akiferinin hidrolojik parametrelerinin belirlenmesi için yeni bir tahmin yöntemi önerilmiştir. OEİ, parametre tahmin sürecini kolaylaştırmak için iki basit formül kullanır. Birinci formül, su düşümü-logaritmik zaman eğrisinin büküm noktasından bir kullanıcı tarafından belirlenen mesafe ile ayrılan iki farklı su düşüm ölçümünden sızdırma faktörünü verir. İkinci formül, kullanıcıların sızdırma faktöründen boyutsuz büküm noktasını bulmasını sağlar. Böylece, akifer parametreleri OEİ ile klasik eğri eşleştirme işleyişinden kaçınarak kolayca elde edilebilir. OEİ’nin kabiliyeti çeşitli ideal ve gürültü ile kirletilmiş hipotetik pompaj testi senaryoları ile çalışılmıştır. İncelenen durumdan elde edilen sonuçlar OEİ’nin hali hazırdaki mevcut yöntemlere iyi bir alternatif olarak değerlendirilebileceğini göstermektedir.

Anahtar Kelimeler

Akifer parametreleri, Yeraltı suları, Ters problem, Sızdıran akifer, Parametre tahmini

Leaky strip aquifer parameter estimation by ratio matching process

Öz

In this study, a novel estimation method, called as Ratio Matching Process (RMP), was proposed to determine the hydrologic parameters of a leaky strip aquifer. RMP employs two simple formulations in order to simplify the parameter estimation procedure. The first formula gives the leakage factor from the site data by selecting two different timedrawdown measurements, which are separated by the user-specified distance from the inflection point of the drawdown vs logarithmic time curve. The second formula provides the users to find the dimensionless inflection point from the leakage factor. Thus, the aquifer parameters could be easily acquired with RMP by avoiding the classical curve matching process. The capability of RMP was studied with several hypothetical pumping test scenarios including ideal and noisecontaminated datasets. The results from the implemented cases indicate that RMP can be regarded as a good alternative to the available methods.

Anahtar Kelimeler

Aquifer parameters, Groundwater, Inverse problem, Leaky aquifer, Parameter estimation

Kaynakça

• [1] Kompani-Zare M, Zhan H. “Steady flow to a horizontal drain in an unconfined aquifer with variable thickness”. Journal of Hydrology, 327, 174-185, 2006.
• [2] Lohman SW. 1972. “Ground-water hydraulics”. U.S. Geological Survey Professional Paper 708.
• [3] Vandenberg A. “Type Curves for Analysis of Pump Tests in Leaky Strip Aquifers”. Journal of Hydrology 33, 15-26, 1977.
• [4] Vandenberg A. “Series Expression for the Well Function for Leaky Strip Aquifers”. Journal of Hydrology, 34, 389-394,1977.
• [5] Vandenberg A. “Nonsteady Drain Function for Parallel Flow in Leaky Aquifers”. Journal of Hydrology, 37, 379-385, 1978.
• [6] Motz LH. “Aquifer parameters from constant drawdown nonsteady-leaky type curves”. Water Resources Bulletin 26(2), 233-239, 1990.
• [7] Motz LH. “Drawdowns for constant-discharge onedimensional leaky aquifer”. Journal of Irrigation and Drainage Engineering, 116(3), 456-461, 1990.
• [8] Motz LH. “Aquifer parameters from constant discharge nonsteady leaky type curves”. Ground Water, 29(2), 181-185, 1991.
• [9] Motz LH. “Draw-downs for nonleaky aquifer flow with storage in finite width sink.” Journal of Irrigation and Drainage Engineering ,118(4), 645-651, 1992.
• [10] Önder H. “Non-steady flow type curves for strip aquifers with constant drawdown”. Journal of Irrigation and Drainage Engineering, 10(4), 732-741, 1994.
• [11] Önder H. “One-dimensional transient flow in a finite fractured aquifer system”. Hydrological Sciences Journal, 43(2), 243-265, 1998.
• [12] Altinörs A, Önder H. “A double-porosity model for a fractured aquifer with non-Darcian flow in fractures”. Hydrological Sciences Journal, 53(4), 868-882, 2008.
• [13] Motz LH, “Leaky One-Dimensional Flow with Storage and Skin Effect in Finite-Width Sink”. Journal of Irrigation and Drainage Engineering, 128(5), 298-304, 2002.
• [14] Trinchero P, Sanchez-Vila X, Copty N, Findikakis A. “A new method for the interpretation of pumping tests in leaky aquifers”. Ground Water, 46(1), 133-43, 2008.
• [15] Singh SK. “Simple Method for Quick Estimation of LeakyAquifer Parameters”. Journal of Irrigation and Drainage Engineering, 136(2), 149-153, 2010.
• [16] Çiftçi E. “A New Approach for Analyzing Drawdown Data from a Partially Penetrating Well”. Water Resources Management, 33(2), 2727-2739, 2019.
• [17] Gurarslan G, Karahan H. “Solving Inverse Problems of Groundwater-Pollution-Source Identification Using a Differential Evolution Algorithm.” Hydrogeology Journal, 23(6), 1109-1119, 2015.
• [18] Şahin AU. “A Particle Swarm Optimization Assessment for the Determination of Non-Darcian Flow Parameters in a Confined Aquifer.” Water Resources Management, 32(6), 751-767. 2018.
• [19] Ayvaz MT, Gurarslan G. “A hybrid optimization approach for parameter estimation of confined and leaky confined aquifers.” Water Supply, 19, 2359-2366, 2019.
• [20] Şahin AU. “Automatic Shifting Method for the Identification of Generalized Radial Flow Parameters by Water Cycle Optimization” Water Resources Management, 35, 5205-5223, 2021.
• [21] Bear J. Hydraulics of Groundwater. New York, USA, McGraw Hill, 1979.
• [22] Hantush MS, Jacob CE. “Non-steady radial flow in an infinite leaky aquifer”. American Geophyscal Union Transactions, 36(1), 95-100, 1955.
• [23] Bourdet D, Ayoub JA, Pirard YM. “Use of pressure derivative in well-test interpretation”. Society of Petroleum Engineers Formation Evaluation, 4, 293-302, 1989.
• [24] Şahin AU. “A New Inverse Solution Assessment for the Recovery Test Using Radial Basis Function Collocation Method”. Water Resources Management, 30(3), 947-962, 2016.