Wavelet analysis of land subsidence time-series: Madrid Tertiary aquifer case study

Tomás, Roberto; Pastor, José Luis; Béjar-Pizarro, Marta; Bonì, Roberta; Ezquerro, Pablo; Fernández-Merodo, José Antonio; Guardiola-Albert, Carolina; Herrera, Gerardo; Meisina, Claudia; Teatini, Pietro; Zucca, Francesco; Zoccarato, Claudia; Franceschini, Andrea

Interpretation of land subsidence time-series to understand the evolution of the phenomenon and the existing relationships between triggers and measured displacements is a great challenge. Continuous wavelet transform (CWT) is a powerful signal processing method mainly suitable for the analysis of individual nonstationary time-series. CWT expands time-series into the time-frequency space allowing identification of localized nonstationary periodicities. Complementarily, Cross Wavelet Transform (XWT) and Wavelet Coherence (WTC) methods allow the comparison of two time-series that may be expected to be related in order to identify regions in the time-frequency domain that exhibit large common cross-power and wavelet coherence, respectively, and therefore are evocative of causality. In this work we use CWT, XWT and WTC to analyze piezometric and InSAR (interferometric synthetic aperture radar) time-series from the Tertiary aquifer of Madrid (Spain) to illustrate their capabilities for interpreting land subsidence and piezometric time-series information.

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Tomás, Roberto / Pastor, José Luis / Béjar-Pizarro, Marta / et al: Wavelet analysis of land subsidence time-series: Madrid Tertiary aquifer case study. 2020. Copernicus Publications.

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