## 3 Results
### Information Fusion of Micro Pore Parameters  
Seven factors, namely NWA, porosity, PP, APD, ASS, PSC and THC, were used to establish the calculation model for sandstone water-carrying capacity. Considering PP, APD, ASS, PSC, THC, porosity and NWA as reference sequences, the GCC of each index was calculated based on Equation (4). The GRG calculation of the \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Sample ID** & **Type** & **Depth/m** & **Porosity/\%** &
\begin{tabular}{c} **Overburden** \\ **Pressure/Mpa** \\ \end{tabular} \\ \hline XY-1 & & 100 & 22.4 & 1.04 \\ XY-2 & & 150 & 22.25 & 1.56 \\ XY-3 & & 200 & 21.93 & 2.08 \\ XY-4 & Coarse sandstone & 250 & 21.76 & 2.60 \\ XY-5 & & 300 & 21.62 & 3.12 \\ XY-6 & & 350 & 21.4 & 3.64 \\ \hline XY-7 & & 500 & 15.21 & 5.19 \\ XY-8 & & 530 & 14.8 & 5.51 \\ XY-9 & & 550 & 14.51 & 5.71 \\ XY-10 & & 570 & 14.31 & 5.92 \\ XY-11 & & 600 & 14.12 & 6.23 \\ XY-12 & & 620 & 14.03 & 6.44 \\ \hline XY-13 & & 630 & 8.60 & 6.54 \\ XY-14 & & 640 & 8.55 & 6.65 \\ XY-15 & & 650 & 8.48 & 6.75 \\ XY-16 & & 660 & 8.45 & 6.86 \\ XY-17 & & 670 & 8.40 & 6.96 \\ XY-18 & & 680 & 8.38 & 7.06 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Test values of overburden porosity of samples. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Sample ID** & **Type** & **Natural/g** & **Drying/g** & \
\begin{tabular}{c} **Water-** \\ **Saturated/g** \\ \end{tabular} & **NWA/\%** &
\begin{tabular}{c} **Average** \\ **NWA/\%** \\ \end{tabular} \\ \hline XY-1 & & 399.4 & 374.6 & 402.7 & 7.5 \\ XY-2 & & 373.7 & 356 & 382.4 & 7.42 \\ XY-3 & Sandstone in Luo’he & 390.4 & 365.6 & 393.4 & 7.6 \\ XY-4 & Formation & 394.4 & 366.9 & 394.2 & 7.44 \\ XY-5 & & 383.2 & 357.2 & 384.2 & 7.56 \\ XY-6 & & 401.4 & 390.5 & 420.3 & 7.63 \\ \hline XY-7 & & 392.5 & 385.6 & 406.4 & 5.4 \\ XY-8 & & 416.8 & 410.2 & 431.5 & 5.2 \\ XY-9 & Sandstone in Zhi’luo & 416.6 & 408.9 & 430.4 & 5.25 \\ XY-10 & Formation & 415 & 408.8 & 430.8 & 5.37 \\ XY-11 & & 412.3 & 404.1 & 425.6 & 5.33 \\ XY-12 & & 408.6 & 391.2 & 411.9 & 5.3 \\ \hline XY-13 & & 437 & 432.3 & 452.1 & 4.57 \\ XY-14 & & 461.2 & 447.3 & 467.6 & 4.53 \\ XY-15 & Sandstone in Yan’an & 442.8 & 433.2 & 452.9 & 4.55 \\ XY-16 & Formation & 460.6 & 451.7 & 472.7 & 4.65 \\ XY-17 & & 416.6 & 408.9 & 427.7 & 4.6 \\ XY-18 & & 450.8 & 444.2 & 465 & 4.68 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Test values of the NWA of samples. evaluation index, the GCC of each index and the relationship between the comparison and reference sequences are illustrated in Figure 6.  
Considering PP as the comparison sequence, the sensitivity of each factor to PP is as follows:  
\[\text{Porosity}>\text{THC}>\text{PSC}>\text{NWA}>\text{ASS}>\text{APD}\]  
Assuming APD as the comparison sequence, the sensitivity of each factor to APD is as follows:  
\[\text{NWA}>\text{Porosity}>\text{THC}>\text{PP}>\text{PSC}>\text{ASS}\]  
Considering ASS as the comparison sequence, the sensitivity of each factor to ASS is as follows:  
\[\text{PP}>\text{Porosity}>\text{PSC}>\text{THC}>\text{NWA}>\text{APD}\]  
With the PSC comparison sequence, the sensitivity of each factor to PSC is as follows:  
\[\text{THC}>\text{PP}>\text{Prosity}>\text{NWA}>\text{APD}>\text{ASS}\]  
Assuming THC as the comparison sequence, the sensitivity of each factor to THC is as follows:  
\[\text{Prosity}>\text{PP}>\text{NWA}>\text{APD}>\text{PSC}>\text{PP}\]  
Assuming porosity as the comparison sequence, the sensitivity of each factor to porosity is as follows:  
\[\text{PP}>\text{THC}>\text{NWA}>\text{PSC}>\text{APD}>\text{ASS}\]  
With NWA as the comparison sequence, the sensitivity of each factor to NWA is as follows:  
\[\text{APD}>\text{THC}>\text{Porosity}>\text{PP}>\text{PSC}>\text{ASS}\]  
Figure 6: Heat degree of the GCC. According to Equation (5), the GRG of each evaluation index is as follows:  
\[ \begin{split}\text{G(PP)}&=0.6692;\text{G(APD)}=0.6786; \text{G(ASS)}=0.5941;\\ \text{G(PSC)}&=0.657;\text{G(THC)}=0.735;\text{G(Porosity)}=0.669; \text{G(NWA)}=0.6935\end{split}