"连续的爆裂声" can be translated into English as "continuous crackling sounds" or "successive popping noises".
"Continuous crackling sounds" emphasizes the uninterrupted, ongoing nature of the sounds, similar to the sound of fire crackling continuously.
"Successive popping noises" highlights the sequential occurrence of the popping sounds, one after another.
Both expressions are appropriate depending on the context and the specific nuance you wish to convey.