hi
while the question was posted a few weeks ago and i'm sure you've progressed on site now, it's an interesting question and one which i've just dealt with on-site with an underpinning contractor too... so it's sorts of topical...
i guess the reason why the building control officer suggested dry packing was because he wanted to make sure that the pier was fully supported. i've had situations in the past where a contractor wet filled a void/pad and then found that the wall/pier above had moved. while there can be various reasons for this, a possible one is the slight shrinkage of the fresh concrete as it cures. builders will know that when casting a cube for testing it shrinks away from the timber/metal former after a few days and the same is true of concrete cast in the ground.
if a 'dry pack' is adopted then it should be well rammed into the space between the top of the wet filled concrete no earlier that 24 hours after it was cast [subject to the size of the pour and prevailing temperatures of course]. in this way the shrinkage will already have occurred in the curing concrete and the dry pack [which doesn't shrink nearly as much, if at all] can be compacted into the void. typically i suggest that a 75 void is left for dry packing.
of course, you may find that by the time you've temporarily supported the piers over the hole you're about to fill with concrete, then it may be more economic to take down the pier and rebuild it...
as ever the prevailing site conditions will govern and the above are only generalisations....
hope this helps
andrew
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Andrew Cartlidge BEng(Hons) MIStructE CEng
Chartered Structural Engineers
http://www.beamcalcs.co.uk