Abstract. Representative elementary volume (REV) is essential to measure and quantify the effective parameters of a complex heterogeneous medium. Since previous REV estimation criteria having multiple limitations, a new criterion (χi) is proposed to estimate REV of a translucent material based on light transmission techniques. Two sandbox experiments are performed to estimate REVs of porosity, density, tortuosity and perchloroethylene (PCE) plume using multiple REV estimation criteria. In comparison with χi, previous REV estimation criteria based on the coefficient of variation (CVi), the entropy dimension (DIi) and the relative gradient error (εgi) are tested in REV quantification of translucent silica and inner PCE plume to achieve their corresponding effects. Results suggest that new criterion (χi) can effectively identify the REV in the materials, whereas the coefficient of variation (CVi) and entropy dimension (DIi) cannot. The relative gradient error (εgi) can make the REV plateau obvious, while random fluctuations make the REV plateau uneasy to identify accurately. Therefore, the new criterion is appropriate for REV estimation for the translucent materials and inner contaminant. Models are built based on Gaussian equation to simulate the distribution of REVs for media properties, which frequency of REV is dense in the middle and sparse on both sides. REV estimation of PCE plume indicates high level of porosity lead to large value of mean and standard deviation for REVs of PCE saturation (So) and PCE-water interfacial area (AOW). Fitted equations are derived for distribution of REVs for PCE plume related to dm (distances from mass center to considered point) and dI (distances from injection position to considered point). Moreover, relationships between REVs of PCE plume and So are fitted using regression analysis. Results suggest a decreasing trend appears for So-REV when So increases, while Aow-REV increases with increasing of So.
Response to Referee #2’s Comments on Manuscript hess-2020-91 “A new criterion for determining the representative elementary volume of translucent porous media and inner contaminant” by Ming Wu, Jianfeng Wu, Jichun Wu, and Bill X. Hu
