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Wiktionary
heap up

vb. to increase over a period of time; to accumulate

WordNet
heap up

v. arrange into piles or stacks; "She piled up her books in my living room" [syn: pile up, stack up]

Usage examples of "heap up".

Nevermore would anybody of the Florilegium have to dig and heap up and tamp an earthern curb.

By 1980, the pro tem solution was to heap up the products and burn them: billions of dollars worth, week after week.

You been sprinklin yourself with that perfume I found in a ash heap up on the bluffs?