4.5.2.1.2: Hyperbolic Decline (0<b<1)

If $b$ is in the range, $0<b<1$, then the integration of Equation 4.68 and Equation 4.69 results in the rate-time relationship:

While a second integration with respect to time results in the rate-cumulative production relationship:

When the constant $b$ is in the range $0<b<1$, we refer to the resulting production decline as Hyperbolic Decline. In hyperbolic decline, we have all three parameters, $q_{oi}$, $D_i$ , and $b$ , with which to match the field data.