7.2.1.1 Step 1: Obtain the characteristic points.

A pressure and pressure derivative versus time log–log plot is presented in Figure 4, from which the following characteristic points are read:

$$t\_{BR} = \text{1.01 h} \quad \left(t^\* \Delta P\right)\_{BR} = \text{64.63 psi} \quad t\_{BR\text{Pi}} = \text{3300 h}$$

## 7.2.1.2 Step 2: Half-fractured length estimation.

The half-fracture length is estimated with Eq. (12) and confirmed with Eq. (31), as follows:

$$\begin{aligned} x\_f &= 5.4595 \left( \frac{\mathfrak{J}00(1.25)}{\mathfrak{J}0(64.63)} \right)^{1.3889} \sqrt{\frac{1.01}{(1)(0.1)\left(3 \times 10^{-6}\right)} \left( \frac{\mathfrak{J}}{33.334} \right)^{1.778}} \left( = 199 \text{ ft}, \frac{\mathfrak{J}00(1.25)}{\mathfrak{J}0(1.25)} \right)^{1.778} \\\ x\_f &= 41.0554(592 \times 43560)^{1.3889} \left( \frac{(1)(0.1)(5)\left(3 \times 10^{-6}\right)}{33.334(3300)} \right)^{0.8889} = 201.6 \text{ ft}. \end{aligned}$$
