7.2 Synthetic example

[13] presented a synthetic example of a pressure test run in a bounded homogeneous reservoir with the information given below:

$$B\_o = 1.25 \text{ bbl/STB} \quad q = 300 \text{ STB/D}$$

$$h = 30 \text{ ft} \quad \mu = 5 \text{ cp}$$

$$r\_w = 0.3 \text{ ft} \quad c\_t = 3 \times 10^{-6} \text{ psi}^{-1}$$

$$P\_i = 4000 \text{ psi} \quad \phi = 10\%$$

$$k = 33.334 \text{ rad} \quad x\_f = 200 \text{ ft}$$

$$A = 592 \text{ Acres}$$

Estimate the half-fracture length by the TDS technique, and compare the answer with the value used for generating the test.
