>
What sort of damping circuit should I put in front of the amplifier to
prevent the geophone from simply oscillating?  Also, what attenuation
<

You normally put a resistor in parallel (shunt) with the geophone. Actually,
such a resistor is often installed in the geophone already.

The attenuation depends on the resistance in the coil of the geophone. If this
for example is 100 ohm, and you put a resistor of 100 ohm in as a shunt, you
will reduce the voltage output of teh geophone with 50%....

Regards, Anders



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