Question

Two hydraulic fracturing tests were conducted on a marble rock
mass. First test was conducted at a depth of 400 m and the second
test was conducted at a depth of 800 m. Breakdown pressures, PB
were measured to be 12 MPa from first test and 20 MPa from the
second test. Also, Shut-in pressures, Ps were measured to be 7 MPa
and 14 MPa from the first and second test, respectively. Knowing
that the tensile strength of the rock is σt = 10 MPa and the
principal stresses are on vertical and horizontal directions,
solve:

1) Estimate the ratio between the mean of the horizontal stresses
and the vertical stress for the two tests.

2) Check whether vertical fractures would be produced from both
tests.

Answer #1

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