## 5 Discussion
### Quantitative Calculation of Mixed-Sources of Natural Gas
In the case of methane, the sample contains only one carbon atom. For clarity, we use symbolic notations such as \({}^{13}\)C\({}_{1}\) and \({}^{12}\)C\({}_{1}\) to denote methane molecules containing a single \({}^{13}\)C or \({}^{12}\)C atom, respectively. The proportions of both \({}^{13}\)C\({}_{1}\) and \({}^{12}\)C\({}_{1}\) contained in the methane component of the natural gas can be calculated. By multiplying the proportion of the two by the proportion of the methane component in the total natural gas, the absolute content of \({}^{13}\)C\({}_{1}\) or \({}^{12}\)C\({}_{1}\) in the total natural gas can be obtained. Through incorporating the proportion of mixed methane, ethane, and propane gases using Equations (2) and (3), the ratio of the time the experiment of the absolute content of vigor and the ratio of gas components can be determined. By using the multivariate mathematical statistics analysis method, the data in Table 1 except for the mixed ratio were calculated. The end-element contribution ratios obtained through the Alternating Least Squares algorithm are shown in Table 2. The results show that the proportion of mixed-sources varies in different structural areas of the Di Nan Uplift. In the northern part of the Di Xi area, the proportion of coal-type gas mixed in the natural gas is the largest, accounting for approximately 67.8% to 84.3%. In the southern part of the Dixi area, most of the natural gas is a mixture, and the proportion of coal-type gas mixed in is approximately 25.6% to 68.4%. The natural gas in the Dishui Spring area is mainly oil-based gas, accounting for approximately 89.4% to 97.7%. During the depositional period of the Carboniferous, the eastern part of the Junggar Basin was interpreted to have been situated within a foreland basin setting, while the \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Area**} & \multirow{2}{*}{**Formation**} & \multirow{2}{*}{\(\delta^{13}\)**C\({}_{1}\)**/**\%**} & \multirow{2}{*}{\(\delta^{13}\)**C\({}_{2}\)**/**\%**} & \multirow{2}{*}{\(\delta^{13}\)**C\({}_{3}\)**/**\%**} & \multirow{2}{*}{\({}^{13}\)**C\({}_{1}\)**} & \multirow{2}{*}{\({}^{12}\)**C\({}_{1}\)**} & \multirow{2}{*}{\({}^{13}\)**C\({}_{2}\)**} & \multirow{2}{*}{\({}^{12}\)**C\({}_{2}\)**} & \multirow{2}{*}{\({}^{13}\)**C\({}_{3}\)**} & \multirow{2}{*}{\({}^{12}\)**C\({}_{3}\)**} & \multirow{2}{*}{\({}^{12}\)**C\({}_{3}\)**} & \multirow{2}{*}{\({}^{12}\)**C\({}_{3}\)**} \\  & & & & & & & & & & & & **Type** \\ \hline \multirow{3}{*}{Northern} & P & \(-31.61\) & \(-29.56\) & \(-28.79\) & \(8629\) & \(821,441\) & \(471\) & \(19,068\) & \(210\) & \(19,298\) & \(62.2\) & \(37.8\) \\  & P & \(-31.14\) & \(-29.54\) & \(-28.45\) & \(8603\) & \(819,653\) & \(290\) & \(16,551\) & \(182\) & \(16,782\) & \(84.3\) & \(15.7\) \\  & T & \(-32.94\) & \(-31\) & \(-30.11\) & \(8657\) & \(824,569\) & \(414\) & \(18,427\) & \(203\) & \(18,659\) & \(67.8\) & \(32.2\) \\ \hline \multirow{3}{*}{Southern} & J\({}_{1}\)b & \(-37.98\) & \(-27.88\) & \(-24.77\) & \(8724\) & \(830,938\) & \(372\) & \(17,842\) & \(196\) & \(18,075\) & \(68.4\) & \(31.6\) \\  & J\({}_{2}\)x & \(-39.03\) & \(-27.97\) & \(-25.94\) & \(8647\) & \(822,918\) & \(532\) & \(19,864\) & \(219\) & \(20,098\) & \(45.2\) & \(54.8\) \\  & J\({}_{1}\)s & \(-39.04\) & \(-27.68\) & \(-25.3\) & \(8567\) & \(815,091\) & \(650\) & \(21,525\) & \(237\) & \(21,760\) & \(25.6\) & \(74.4\) \\ \hline \multirow{2}{*}{Dongdaohazi} & J\({}_{1}\)b & \(-43.61\) & \(-25.1\) & \(-18.89\) & \(8613\) & \(819,303\) & \(694\) & \(22,033\) & \(243\) & \(22,269\) & \(10.6\) & \(89.4\) \\  & K\({}_{3}\)s & \(-44.93\) & \(-25.67\) & \(-22.9\) & \(8584\) & \(816,329\) & \(749\) & \(22,892\) & \(253\) & \(23,129\) & \(2.3\) & \(97.7\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The mixed proportion calculated through the multivariate data analysis method. western part was associated with a trench-arc-basin system. Under this tectonic regime, a thick succession of marine marine-continental transitional deposits was developed.