Advances in Grey Systems Research pp 153-164 | Cite as
Piecewise Analysis and Prediction of Spring Flow Based ON GM(1,1) Model
Abstract
One of the largest springs in North China, the Liulin Karst Springs, has been decaying since 1950s. We introduced the piecewise analytical concept to GM (1, 1) model focusing on analysis and prediction of Liulin Karst Springs discharge. We divided the spring discharge processes into two phases: pre-1973 and post-1973. In the first phase (i.e. 1957-1974) the spring discharge was affected by climate change and in the second phase (i.e.1973-2007) the spring discharge was influenced by both climate change and anthropogenic activities. In the first phase, spring flow was simulated by the grey system GM (1, 1) decomposition model, then the effects of climate change were modeled. By extrapolating the model, we acquired a calculation of the spring discharge in the second phase solely under the effects of climate change.
Keywords
Coal Mining Karst Aquifer Spring Discharge Decomposition Model Karst SystemPreview
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References
- Cao, Y., Fang, P.: The type of karst water occurrence in Ordovician carbonate and their strata-bound regularities in North China. In: Symposium on Karst and karst water in North China, pp. 71–77. Geological publication, Beijing (1982)Google Scholar
- Ford, D., Williams, P.: Karst Geomorphology and Hydrology. Unwin Hyman, London (1989)CrossRefGoogle Scholar
- Guo, Q., Wang, Y., Ma, T., Li, L.: Variation of karst spring discharge in the recent five decades as an indicator of global climate change: A case study at Shanxi, northern China. Science in China Ser. D Earth Sciences 48(11), 2001–2010 (2005)CrossRefGoogle Scholar
- Han, D., Xu, H., Liang, X.: GIS-based regionalization of a karst water system in Xishan Mountain area of Taiyuan Basin, North China. Journal of Hydrology 331(3-4), 459–470 (2006)CrossRefGoogle Scholar
- Han, X., Lu, R., Li, Q.: Research of karst spings in Shanxi, pp. 294–305. Geological publication, Beijing (1993)Google Scholar
- Hao, Y., Yeh, T.J., Gao, Z., Wang, Y., Zhao, Y.: A gray system model for studying the response to climatic change: The Liulin karst spring, China. Journal of Hydrology 328(3-4), 668–676 (2006)CrossRefGoogle Scholar
- Hao, Y., Yeh, T.J., Wang, Y., Zhao, Y.: Analysis of karst aquifer spring flows with a gray system decomposition model. Ground Water 45(1), 45–56 (2007)CrossRefGoogle Scholar
- He, Y., Han, B., Xu, C., He, Y.: Chinese karst water research, pp. 224–246. Tongji University publication, Shanghai (1997)Google Scholar
- Jaquet, O., Siegel, P., Klubertanz, G., Benabderrhamane, H.: Stochastic discrete model of karstic networks. Advances in Water Resources 27(7), 751–760 (2004)CrossRefGoogle Scholar
- Lee, R., Wang, R.: Parameter estimation with color noise effect for differential hydrological gray model. Journal of Hydrology 208(1-2), 1–15 (1998)CrossRefGoogle Scholar
- Leibundgut, C.: Vulnerability of karst aquifers, vol. 247, pp. 45–60. IAHS Publication (1998)Google Scholar
- Li, S., Liu, C., Lang, Y., Tao, F., Zhao, Z., Zhou, Z.: Stable carbon isotope biogeochemistry and anthropogenic impacts on karst ground water, Zunyi, Southwest China. Aquat Geochem 14, 211–221 (2008)MATHCrossRefGoogle Scholar
- Lin, Y., Chen, M.Y., Liu, S.F.: Theory of grey systems: capturing uncertainties of grey information. Kybernetes: The International Journal of Systems and Cybernetics 33(2), 196–218 (2004)MATHCrossRefGoogle Scholar
- Lin, Y., Liu, S.F.: Solving Problems with incomplete information: a grey systems approach. In: Advances in Imaging and Electron Physics, vol. 141, pp. 77–174. Elsevier, Amsterdam (2006)Google Scholar
- Liu, S., Lin, Y.: Grey Information: Theory and Practical Applications, pp. 191–243. Springer, London (2006)Google Scholar
- Loáiciga, H.A., Maidment, D.R., Valdes, J.B.: Climate change impacts in a regional karst aquifer, Texas, USA. Journal of Hydrology 227, 173–194 (2000)CrossRefGoogle Scholar
- Nkhuwa, D.C.W.: Human activities and threats of chronic epidemics in a fragile geologic environment. Physics and Chemistry of the Earth 28, 1139–1145 (2003)CrossRefGoogle Scholar
- Parise, M., Gunn, J.: Natural and anthropogenic hazards in karst areas: An introduction, vol. 279, pp. 1–3. Geological Society, London, Special Publications (2007)CrossRefGoogle Scholar
- Parise, M., Qiriazi, P., Sala, S.: Natural and Anthropogenic Hazards in Karst Areas of Albania. Natural Hazards and Earth System Sciences 4(4), 569–581 (2004)CrossRefGoogle Scholar
- Sweeting, M.M.: Karst in China: Its geomorphology and environment, pp. 1–31. Springer, Berlin (1995)Google Scholar
- Taminskas, J., Marcinkevicius, V.: Karst geoindicators of environmental change: the case of Lithuania. Environmental Geology 42, 757–766 (2002)Google Scholar
- Viles, H.A.: Conceptual modeling of the impacts of climate change on karst geomorphology in the UK and Ireland. Journal for Nature Conservation 11, 59–66 (2003)CrossRefGoogle Scholar
- Xia, J.: Hydrology of Grey System, pp. 24–53. Press of Huazhong University of Science and Technology, Wuhan (2000)Google Scholar
- Yuan, D.: Chinese Karst, pp. 149–164. Geological publication, Beijing (1994)Google Scholar