Numerical Simulation of Filtration Noise

We numerically simulate filtration noise within the framework of the earlier proposed model for the generation of acoustic noise as a result of excitation of relaxation self-oscillations. The simulation is performed for typical parameters of reservoir rocks. As a result, appearance of the radiation frequencies observed in the experiment is demonstrated. It is also shown that due to the nonlinear interaction between elementary sources of the acoustic radiation, its spectrum is enriched with combination frequencies. In the case where the ratios of the frequencies of the interacting oscillators are fractional, the acoustic interaction can lead to nonlinear synchronization of elementary radiation sources.

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Correspondence to A. V. Lebedev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 63, No. 2, pp. 155–171, February 2020.

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Lebedev, A.V. Numerical Simulation of Filtration Noise. Radiophys Quantum El 63, 142–156 (2020).

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