the following article discusses averaging techniques, such as a 3D longitudinal
averaging, which is what you are looking for.
looping over your multi-blocks should be a rather simple extension.
https://blog.kitware.com/paraviews-python-programmable-filters-in-geophysics/
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I'm fairly sure this has been discussed somewhere before, but my search engine
skills are failing me right now.
I would like to take the spanwise average of a 3D dataset to create a 2D plane
of the averaged data. In my case, things are (relatively) friendly -- it's a
channel with a uniform,
