There is a lot of memorization to it, and it isn't as fun as building your own seismograph or going on an archaeological dig in caves built by the Japanese during WWII. OTOH, imo, knowing the difference between the present perfect and present progressive tense will be applicable in many different fields including archaeology and geophysics.
Both geophysics and archaeology depend on reports, observations and opinions. Therefore good writing skills.
The best college course I took was Business Communication, which has helped me in various business situations. My spelling and grammar lacked and I paid a price for not doing both well. If I could turn back the clock I would spend more time on both.
The only reason I got through physics and science in college was when I could associate my interests in politics and economics into those courses.
It would be interesting to see if your students could write about geophysics or archeology, whatever they are interested in, to prove the point by combining the two.