If rain is long enough to chacge the piezometric level of water table , the consequent change on pore pressure (or fluid pressure) can "reduce" normal stress on a fault (see effect of Pf in mohr diagrams) triggering an small and shallow eq.

However, 10km seems quite too deep for that.

I wonder if at that depth the fluid pressure is related to the water table.

Unstable raining may help occurrence of earthquake. First, it may influence landslide and thus earthquake's occurrence in tectonically active regions. Secondly, it may influence weathering in fault zone and thus sliding stress and local earthquake. Thirdly, it may influence plant growing, especailly some shrubs which can grow deeply, thus affect fault activities and occurrence of eathquake. All of these is my preliminary consideration, supplying you for reference.

Well, that question is now wandering here in Spain in some earthquake clusterings, what is the role of the heavy rains as the triggering mechanism for shallow (d