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Structural waves transmitted solely through the pipe wall influence the accuracy in a clamp-on ultrasonic flow measurement system because of the superposition with the signals of interest. To improve the measurement against temperature variations, an algorithmic compensation of the structural waves using a temperature model is required. This paper proposes a temperature model for structural waves, using the Matching Pursuit method. In the first section, a sparse signal representation is presented to approximate the structural wave signals. The resulting signal coefficients are used to describe the temperature dependency in a linear model. The method is validated using measurements of structural waves in a circular pipe over a temperature range between20    °  C   20\hspace{0.1667em}^\circ \text{C}    and80    °  C   80\hspace{0.1667em}^\circ \text{C}   . Based on these measurements, the accuracy of the approximated temperature model is evaluated and compared against the baseline signal-stretch method.

Modeling of temperature dependency of structural waves in an ultrasonic flow measurement system