This sentence talks about how modern science studies earthquakes and what kind of energy is involved in them. The first blank needs a verb that fits with modern methods studying quakes before they happen, and the second blank needs an adjective that describes the type of energy released in an earthquake.
The correct pair is "Predicting ..... seismic", since modern methods try to predict earthquakes by studying the periodic build up and release of seismic energy in the earth.
Let's summarize:
So the correct option is (c), "Predicting ..... seismic".
If the price of a commodity increases by 25%, by what percentage should the consumption be reduced to keep the expenditure the same?