The effect of barodiffusion on the dynamics of gas bubble growth in a highly viscous, gas-saturated magmatic melt undergoing rapid decompression is studied. A mathematical model of the process, which represents a joint dynamic and diffusion problem, is proposed. It is shown that as the bubble grows, a diffusive boundary layer is formed around it, leading to the appearance of a large viscosity gradient in the melt and, as a consequence, to a large pressure gradient. A semi-analytical solution of the problem based on the existence of a quasi-stationary state for the bubble growth process is found. It is shown that the effect of barodiffusion is significant at the initial and transient stages of the process. Its influence decreases with time and disappears completely at the stage of diffusion.

研究了压力扩散对快速减压的高粘性气体饱和岩浆熔体中气泡生长动力学的影响。提出了代表联合动态和扩散问题的过程数学模型。结果表明，随着气泡的生长，其周围会形成扩散边界层，导致熔体中出现大的粘度梯度，从而导致大的压力梯度。基于气泡生长过程准稳态的存在，找到了该问题的半解析解。结果表明，压力扩散的作用在过程的初始阶段和过渡阶段是显着的。它的影响随着时间的推移而减弱，并在扩散阶段完全消失。