Table 3 Statistical summary of the available data using violin plots, pair plots, and heat Maps.

From: Machine learning analysis of CO2 and methane adsorption in tight reservoir rocks

Plot Type

Feature/Relationship

Details and Results

Violin Plots

CO2 Percentage

Data is mostly concentrated at lower percentages, with some spread in higher ranges. This indicates that most samples have low CO2 concentrations, but a few outliers suggest variability in the gas composition among different samples.

TOC Percentage

TOC values are predominantly below 5%, reflecting the natural heterogeneity of organic matter in shale samples. Higher TOC levels could potentially influence adsorption capacity due to their impact on microporosity and adsorption sites.

Moisture

The distribution of moisture shows a wide range with significant variability. Samples with higher moisture content might have reduced gas adsorption due to competitive water adsorption at adsorption sites.

Temperature

Temperatures range from 20 to 160 °C, covering a wide spectrum of conditions. This broad range reflects the varying geothermal gradients and reservoir conditions, which significantly influence gas adsorption and desorption behaviors.

Pressure

Pressure data is mainly concentrated above 10 MPa, highlighting the high-pressure conditions typical of gas storage in shale reservoirs. Such pressures are critical for assessing the adsorption and phase behavior of gases under reservoir-like conditions.

CH4 and CO2 Adsorption

Adsorption values for both gases are generally low, indicating limited adsorption capacity in some shale samples, possibly due to low TOC or less-developed pore structures.

Pair Plots

CO2 Adsorption and Pressure

A clear positive trend; as pressure increases, CO2 adsorption rises. This indicates that pressure is a key driver in enhancing CO2 storage capacity in shale by increasing gas density and facilitating gas adsorption within nanopores.

CH4 Adsorption and Pressure

Negative trend; higher pressure reduces CH4 adsorption. This may result from competitive adsorption with CO2 or changes in gas phase behavior at elevated pressures, leading to preferential adsorption of CO2 over CH4.

Heatmap (Pearson Correlation)

CO2 Percentage and CO2 Adsorption

Strong positive correlation (0.58) suggests that higher CO2 concentrations in the injected gas significantly enhance CO2 adsorption. This relationship emphasizes the role of partial pressure in determining adsorption efficiency.

CH4 Adsorption and CO2 Adsorption

Noticeable negative correlation (−0.16) indicates competitive adsorption between CO2 and CH4. As CO2 adsorption increases, CH4 adsorption decreases, likely due to competition for limited adsorption sites.

CO2 Percentage and TOC

Strong positive correlation (0.61) highlights the role of TOC in influencing gas composition and its interaction with shale, potentially by providing additional microporous sites for CO2 adsorption.

TOC and CO2 Adsorption

Moderate positive correlation (0.34) indicates that TOC enhances CO2 adsorption. This is likely due to the presence of organic matter with higher affinity for CO2, increasing the overall adsorption capacity.

TOC and CH4 Adsorption

Weak negative correlation (−0.10) suggests TOC has a negligible or slightly adverse effect on CH4 adsorption. This might result from differences in the molecular interaction of CH4 and CO2 with organic matter.

Pressure and CO2 Adsorption

Weak positive correlation (0.18) shows that higher pressure moderately facilitates CO2 adsorption. This aligns with the observed density-dependent adsorption behavior of CO2 in shale reservoirs.

Pressure and CH4 Adsorption

Weak negative correlation (−0.17) indicates that increasing pressure may slightly hinder CH4 adsorption, possibly due to the dominance of CO2 at higher pressures.

Temperature and CO2 Adsorption

Weak negative correlation (−0.11) suggests that higher temperatures might reduce CO2 adsorption, likely due to increased gas desorption rates and reduced adsorption affinity at elevated temperatures.

Temperature and CH4 Adsorption

Moderate positive correlation (0.26) indicates that CH4 adsorption may slightly increase with temperature, possibly due to changes in gas mobility and shale properties, though the effect is not strong.