How does blast size scale with energy required? In other words to increase distance of vaporization from an epicenter of a blast at what rate does the energy of the blast have to go up? Is it linear, logarithmic, or what? I guess that kilotons of TNT is a common measure of source energy. Example: to double a blast radius of vaporization from 500 miles to 1000 mile how much additional energy is required.

This is so outside my field of study, so please keep it simple. Thank you.

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(By the way, I hate it that so many papers in the areas of planetary science and geology are not easily available to the dreaded "non-subscribers". It is like they are screaming at me: "YOU CAN'T HANDLE THE TRUTH". Good, I feel better now.)

"Quaerendo inventis"