Bubbles in pressure waves I found an article in which they say this, at the end they say that there is a net flux of gas into the bubble, but I don't understand why, since there is a dilatational phase (in which the bubbles grow) but also a compressional phase (in which the bubbles size decreases), considering me there is no flux in total then? Where am I wrong?
https://physicstoday.scitation.org/doi/10.1063/1.1535006 

 A: The cited fragment is taken from the popular article [1], where reference is made to three other articles [2-4], 
and there is also no detailed explanation of the dynamics of bubbles in magma in seismic waves.
But we can indicate one article [5], where this problem is studied. 


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*David P. Hill, Fred Pollitz, and Christopher Newhall, EARTHQUAKE–VOLCANO INTERACTIONS, PHYSICS TODAY    41, NOV. 2002

*Linde, A., Sacks, I., Johnston, M. et al. Increased pressure from rising bubbles as a mechanism for remotely triggered seismicity. Nature 371, 408–410 (1994). https://doi.org/10.1038/371408a0

*Sahagian, D. L. & Proussevitch, A. A., Bubbles in volcanic systems, Nature 359, 485 (1992).

*Sahagian, D. L. Nature 361, 308 (1993).

*A. A. Proussevitch and D. L. Sahagian, Dynamics and energetics of bubble growth in magmas: Analytical formulation and numerical modeling
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 103, NO. B8, PAGES 18,223-18,251, AUGUST 10, 1998 https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/98JB00906
