run up - as of debts or scores

corral - collect or gather; "corralling votes for an election"

collect, pull in - get or bring together; "accumulate evidence"

scrape up, scrape, come up - gather (money or other resources) together over time; "She had scraped together enough money for college"

chunk, lump - put together indiscriminately; "lump together all the applicants"

bale - make into a bale; "bale hay"

catch - take in and retain; "We have a big barrel to catch the rainwater"

fund - accumulate a fund for the discharge of a recurrent liability; "fund a medical care plan"

fund - place or store up in a fund for accumulation

salt away, stack away, stash away, store, hive away, lay in, put in - keep or lay aside for future use; "store grain for the winter"; "The bear stores fat for the period of hibernation when he doesn't eat"

increase - become bigger or greater in amount; "The amount of work increased"

backlog - accumulate and create a backlog

accrete - grow or become attached by accretion; "The story accreted emotion"

drift - be piled up in banks or heaps by the force of wind or a current; "snow drifting several feet high"; "sand drifting like snow"