Recognition of geological structures often requires understanding the causes of diverse kinetic phenomenon and its underlying foundations. This pertains, e.g., to the phenomenon of mass movement within a rock formation leading to fault formation. We discuss here the possibility that variational calculus may be an important tool for investigating this problem. Analysis of variations may yield important information concerning a physical phenomenon. Here we will neglect the best known problems of extremals in the analysis of variations and will focus our attention on electromagnetic and physico-mechanical problems. Adaptation of a Hamiltonian as an entropy operator may serve, not only for the problems of singular crystalline structures, but also geological singularities such as faults, oleate impermeabilities, deep-seated eruptions as well as in problems of seismology, vulcanology and earthquakes. This paper is an attempt to initiate a discussion about the possible development of the ideas presented. It might be that the formulae presented will be useful for the solution of other geophysical problems in future.