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Evaluation of Fractal Dimension in Karst Aquifers

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Mathematics of Planet Earth

Abstract

This work analyzes the discharge from the spring in karst aquifers applying the fractal 1-D method in four aquifers in the south of Spain. The fractal dimension study has been developed on the basis of the accumulated distance frequency and the number of events, using the Scan Line method. The equation base is N \(\propto \) d-D, where N is the number of events (flow l/s), d is distance (n\(^{o}\) of days) and D an exponent related to the system of the fractal dimension. In the log-log graph the fractal dimension is the steep slope of the trend line. The results show as the temporal distribution of flows in each spring has low and different fractals dimension.

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References

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Acknowledgments

This work has been developed under the UNESCO IGCP-598 and CGL2010 projects. We want to give thanks to the professor Bartolomé Andreo.

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Correspondence to Pedro A. Robledo-Ardila .

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© 2014 Springer-Verlag Berlin Heidelberg

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Robledo-Ardila, P.A., Durán-Valsero, J.J., Pardo-Igúzquiza, E. (2014). Evaluation of Fractal Dimension in Karst Aquifers. In: Pardo-Igúzquiza, E., Guardiola-Albert, C., Heredia, J., Moreno-Merino, L., Durán, J., Vargas-Guzmán, J. (eds) Mathematics of Planet Earth. Lecture Notes in Earth System Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32408-6_49

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