## 6 Conclusions
### Nomenclature  
\begin{tabular}{l l} \(B_{g}\) & Gas formation volume factor, m\({}^{3}\)/m\({}^{3}\) \\ \(B_{gi}\) & Initial gas formation volume factor, m\({}^{3}\)/m\({}^{3}\) \\ \(\varepsilon_{g}\) & Gas compressibility, MPa\({}^{-1}\) \\ \(\varepsilon_{g}\) & Initial gas compressibility, MPa\({}^{-1}\) \\ \(\varepsilon_{f}\) & Fracture compressibility, MPa\({}^{-1}\) \\ \(\varepsilon_{m}\) & Matrix rock compressibility, MPa\({}^{-1}\) \\ \(\varepsilon_{\varphi}\) & Formation compressibility, MPa\({}^{-1}\) \\ \(G_{p}\) & Cumulative production, 10\({}^{8}\) m\({}^{3}\) \\ \(G_{sc}\) & Original gas in place, 10\({}^{8}\) m\({}^{3}\) \\ \(h\) & Formation height, m \\ \(K_{f}\) & Equivalent permeability for fracture, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) (10\({}^{-3}\)\(\upmu\)m\({}^{2}\) = 1 mD) \\ \(K_{m1}\) & Equivalent permeability for matrix in inner region, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{fh}\) & Horizontal permeability of fracture, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{fp}\) & Vertical permeability of fracture, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{m1h}\) & Horizontal permeability of matrix in inner region, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{m1v}\) & Vertical permeability of matrix in inner region, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{m2h}\) & Horizontal permeability of matrix in outer region, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(k_{m2v}\) & Vertical permeability of matrix in outer region, 10\({}^{-3}\)\(\upmu\)m\({}^{2}\) \\ \(M\) & Mobility ratio between outer and inner regions, dimensionless \\ \(p_{wD}\) & Dimensionless wellbore pressure, dimensionless \\ \(p_{p}\) & Pseudopressure, MPa \\ \(q_{g}\) & Production rate, 10\({}^{4}\) m\({}^{3}\)/d \\ \(r_{w}\) & Wellbore radius, m \\ \(R_{e}\) & Reservoir radius, m \\ \(R_{1}\) & Inner region radius, m \\ \(s\) & Time variable in Laplace domain, dimensionless \\ \(T\) & Temperature, K \\ \(Z\) & Gas deviation factor, dimensionless \\ _Greek Letters_ \\ \(\alpha\) & Shape factor of matrix, 1/m\({}^{2}\) \\ \(\alpha_{p}\) & Unit conversion coefficient, 3.6 \(\times\) 24 \(\times\) 2\(\pi\) \(\times\) 10\({}^{-7}\) \\ \(\alpha_{t}\) & Unit conversion coefficient, 3.6 \(\times\) 24 \(\times\) 10\({}^{-3}\) \\ \(\beta\) & Pseudo-time factor, dimensionless \\ \(\gamma_{k}\) & Permeability stress-sensitivity coefficient, MPa\({}^{-1}\) \\ \(\gamma_{g}\) & Gas specific gravity, dimensionless \\ \(\delta\) & Diffusivity ratio between outer and inner regions, dimensionless \\ \(\kappa_{1}\) & Permeability anisotropy factor for fracture, dimensionless \\ \(\kappa_{2}\) & Permeability anisotropy factor for matrix in outer region, dimensionless \\ \(\lambda\) & Interporosity flow coefficient between fractures and matrix, dimensionless \\ \(\mu_{g}\) & Gas viscosity, 10\({}^{-3}\) Pa\(\bullet\)s \\ \(\rho_{g}\) & Gas density, 10\({}^{3}\) kg/m\({}^{3}\) \\ \(\varphi\) & Porosity, fraction \\ \(\varphi_{f}\) & Fracture system porosity, fraction \\ \(\varphi_{m}\) & Matrix system porosity, fraction \\ \(\omega\) & Storativity ratio of natural fracture, dimensionless \\ _Special Functions_ \\ \(I_{0}\) & Modified Bessel function of the first kind, zero order \\ \(I_{1}\) & Modified Bessel function of the first kind, first order \\ \(K_{0}\) & Modified Bessel function of the second kind, zero order \\ \(K_{1}\) & Modified Bessel function of the second kind, first order \\ \(\omega\) & \(\omega_{0}\) & \(\omega_{0}\) \\ \(\omega\) & \(\omega_{0}\) & \(\omega_{