I'm planning on installing a few of these, based on ideas from this book:
https://www.goodreads.com/en/book/show/28483296-diy
I'm not sure how a calculator would work because there's a few variables present and the technology, while certainly time tested, doesn't seem to very academically studied. Type of pipe, diameter of pipe, proximity of pipes to other pipes, bends, screening/filter material, depth, interior air pressure, and ground temperature would make substantial differences.
The back-of-the-envelope math from the book referenced said "1 4" pipe, 100' buried length, hopefully 6' or deeper, for each bedroom". For larger rooms (Great Room, etc) it recommended using 2 of the same. Beyond that, I'm not sure of anything more detailed but if something exists I'd love to know it.
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