Table 3 Input data of the proposed model.
Parameter | Value | Parameter | Value |
|---|---|---|---|
Gravitational acceleration g | 9.8 (N/kg) | Volume flow rate of fluid in tubing \(Q_{{{\text{liquid}}}}\) | 294.2 (m3/D) |
Standard atmospheric pressure Pstan | 101.325 (kPa) | Volume flow rate of gas in tubing \(Q_{{{\text{gas}}}}\) | 30,415.3 (m3/D) |
Standard temperature Tstan | 273.15 (K) | Rate of water content \(\varphi_{{{\text{water}}}}\) | 0.87 |
Outer diameter of cement sheath \(D_{{\text{w}}}\) | 0.2 (m) | Mass flow rate of gas in annulus | 0.2897 (kg/s) |
Outer diameter of casing \(D_{{\text{c}}}\) | 0.178 (m) | Density of water \(\rho_{{{\text{water}}}}\) | 1000 (kg/m3) |
Inner diameter of casing \(d_{{\text{c}}}\) | 0.16 (m) | Density of oil \(\rho_{{{\text{oil}}}}\) | 850 (kg/m3) |
Outer diameter of tubing \(D_{{\text{t}}}\) | 0.073 (m) | Density of gas \(\rho_{{{\text{gas}}}}\) | 0.885 (kg/m3) |
Inner diameter of tubing \(d_{{\text{t}}}\) | 0.062 (m) | Heat conductivity of cement \(K_{{\text{w}}}\) | 7 (W/m °C) |
Temperature gradient of formation G | 0.025 (°C/m) | Heat conductivity of tubing \(K_{{\text{c}}}\) | 1.7 (W/m °C) |
Temperature at surface \(T_{{{\text{g0}}}}\) | 26.7 (°C) | Heat capacity of gas \(C_{{{\text{gas}}}}\) | 1047 (J/kg °C) |
Depth of gas injection \(L_{\max }\) | 1530 (m) | Heat capacity of water \(C_{{{\text{water}}}}\) | 4186.8 (J/kg °C) |
Gas temperature at surface \(T_{{{\text{inlet}}}}\) | 30.8 (°C) | Heat capacity of oil \(C_{{{\text{oil}}}}\) | 1880 (J/kg °C) |
Density of gas in annulus \(\rho_{{{\text{gas}}}}\) | 0.735 (kg/m3) | Wellhead pressure Pout | 3133.2 kPa |
