In terms of seismics, what is the relationship between amplitude and frequency?

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Sergey Kuznetsov

Supposing that acceleration magnitude is constant within 2.5 - 10Hz range (that is quite often adopted in earthquake engineering for soft soils), you'll get quadratic attenuation of displacement magnitude with frequency.

Mehdi Panji

Dear Emeka

The frequency does not affect straightforward on the amplitude. The amplitude is dependent on the intensity waves. But, the frequency is a inherent characteristic of waves.

best regards

Panji

Qiuliang Yao

Not sure whether you're asking about nature earthquake seismology or exploration seismic. If it is the later one, we have a recent publication directly addressing this topic:

Zhao, L., D. Han, Q. Yao, R. Zhou and F. Yan (2015), Seismic reflection dispersion due to wave-induced fluid flow in heterogeneous reservoir rocks, Geophysics, 80(3), D221-D235.