# Question: A stress measurement made in a deep borehole

A stress measurement made in a deep borehole at a depth of 500 m (1,640 ft) indicates a horizontal stress that is three times the vertical stress and that the vertical stress is consistent with an estimate based on overburden weight alone, that is, 25 kPa per meter of depth (1.1 psi per ft of depth). Estimate the portions of horizontal stress associated with weight alone and with other forces.

## Answer to relevant Questions

Identify the three major categories of equations that form the “recipe” for calculating rock mass motion. Give an example of each in equation form.Prove that if f: Rn → Rm is differentiable at a € Rn, then it is continuous at a.Let f: R→R 2. Prove that f is differentiable at a € R if and only if f 1 and f 2 are, and in this case f 1(a) = ((f 1)1 (a) (f 2)1 (a)).Suppose f: Rn →Rn is differentiable and has a differentiable inverse F -1: Rn → Rn. Show that (f-1) I (a) = (fi (f-1(a)))-1.Define g, h: {x€R2} |x| ≤ 1} →R by g(x,y) = (x,y, √1-x2-y2), h(x,y) = (x,y, - √1-x2-y2),Post your question