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This research aims to model the hydrothermal dynamics linked to volcanic gas and isotope signals.

June 17, 2026MathematicsOpen Access

Reduced Integer–Fractional Dynamics of Hydrothermal Memory in Volcanic Gas and Isotope Signals

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Reduced model investigates hydrothermal dynamics in volcanic gas and isotope signals, highlighting potential applications.

This research aims to model the hydrothermal dynamics linked to volcanic gas and isotope signals.
Formulated a mixed-order integer-fractional model using ordinary differential and Caputo equations.
Analyzed local well-posedness, dissipative estimates, and stability of the hydrothermal system.
Used synthetic demonstrations and a forward solver for testing hydrothermal memory and scrubbing effects.
Established that the mixed-order Volterra problem is locally well-posed under given assumptions.
Demonstrated that hydrothermal memory impacts CO2/SO2 anomalies before site-specific calibration.
Identified local sensitivity and information content through preliminary diagnostic tests.

Sebastiano Ettore Spoto (2026) studied this question.

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