Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory

Abstract The unsaturated hydraulic conductivity (K) is one of the most important properties for evaluating moisture and gas migration in soil. However, the precise measurement of K in the laboratory often requires considerable time and economic costs. Currently, the most commonly used method to calc...

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Main Authors: Qiang Liu, Liang Guo, Jiali Miao, Xiangchao Qu, Shujie Xiao
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-86855-6
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author Qiang Liu
Liang Guo
Jiali Miao
Xiangchao Qu
Shujie Xiao
author_facet Qiang Liu
Liang Guo
Jiali Miao
Xiangchao Qu
Shujie Xiao
author_sort Qiang Liu
collection DOAJ
description Abstract The unsaturated hydraulic conductivity (K) is one of the most important properties for evaluating moisture and gas migration in soil. However, the precise measurement of K in the laboratory often requires considerable time and economic costs. Currently, the most commonly used method to calculate K is to obtain it from the soil–water characteristic curve (SWCC) and saturated hydraulic conductivity. The void ratio e has a crucial influence on the variation in K. In this study, by combining two extended SWCC models (the Kwan model and the modified linear packing density model (MLPDM)) proposed by Liu et al. and two models (Model K S1 and Model K S2) for predicting the saturated hydraulic conductivity (K S ) of compacted quartz sand, two approaches (Approach I and Approach II) for estimating the K of compacted quartz sand were proposed. A series of laboratory experiments (constant head permeability tests and alternative simplified evaporation tests) were conducted to verify and evaluate the accuracy and applicability of the two approaches for predicting the K values of compacted quartz sand. For Approach I, the average RMSE was 6.31 × 10− 6. For Approach II, the average RMSE was 5.82 × 10−6. Both Approach I and Approach II provided accurate and reasonable K values for 20 compacted quartz sand samples. Therefore, Approach I and Approach II can be used to predict moisture and gas migration in compacted quartz sand.
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spelling doaj-art-4ad2a54996dc4a6fa9480ed561544ff12025-01-26T12:30:20ZengNature PortfolioScientific Reports2045-23222025-01-0115112110.1038/s41598-025-86855-6Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theoryQiang Liu0Liang Guo1Jiali Miao2Xiangchao Qu3Shujie Xiao4College of Earth Science and Engineering, Shandong University of Science and TechnologyCollege of Earth Science and Engineering, Shandong University of Science and TechnologyCollege of Earth Science and Engineering, Shandong University of Science and TechnologyCollege of Earth Science and Engineering, Shandong University of Science and TechnologyCollege of Earth Science and Engineering, Shandong University of Science and TechnologyAbstract The unsaturated hydraulic conductivity (K) is one of the most important properties for evaluating moisture and gas migration in soil. However, the precise measurement of K in the laboratory often requires considerable time and economic costs. Currently, the most commonly used method to calculate K is to obtain it from the soil–water characteristic curve (SWCC) and saturated hydraulic conductivity. The void ratio e has a crucial influence on the variation in K. In this study, by combining two extended SWCC models (the Kwan model and the modified linear packing density model (MLPDM)) proposed by Liu et al. and two models (Model K S1 and Model K S2) for predicting the saturated hydraulic conductivity (K S ) of compacted quartz sand, two approaches (Approach I and Approach II) for estimating the K of compacted quartz sand were proposed. A series of laboratory experiments (constant head permeability tests and alternative simplified evaporation tests) were conducted to verify and evaluate the accuracy and applicability of the two approaches for predicting the K values of compacted quartz sand. For Approach I, the average RMSE was 6.31 × 10− 6. For Approach II, the average RMSE was 5.82 × 10−6. Both Approach I and Approach II provided accurate and reasonable K values for 20 compacted quartz sand samples. Therefore, Approach I and Approach II can be used to predict moisture and gas migration in compacted quartz sand.https://doi.org/10.1038/s41598-025-86855-6Unsaturated hydraulic conductivitySoil–water characteristic curveHydraulic propertyCompacted quartz sand
spellingShingle Qiang Liu
Liang Guo
Jiali Miao
Xiangchao Qu
Shujie Xiao
Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
Scientific Reports
Unsaturated hydraulic conductivity
Soil–water characteristic curve
Hydraulic property
Compacted quartz sand
title Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
title_full Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
title_fullStr Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
title_full_unstemmed Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
title_short Approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
title_sort approaches for estimating the unsaturated hydraulic conductivity of compacted quartz sand via particle packing theory
topic Unsaturated hydraulic conductivity
Soil–water characteristic curve
Hydraulic property
Compacted quartz sand
url https://doi.org/10.1038/s41598-025-86855-6
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AT jialimiao approachesforestimatingtheunsaturatedhydraulicconductivityofcompactedquartzsandviaparticlepackingtheory
AT xiangchaoqu approachesforestimatingtheunsaturatedhydraulicconductivityofcompactedquartzsandviaparticlepackingtheory
AT shujiexiao approachesforestimatingtheunsaturatedhydraulicconductivityofcompactedquartzsandviaparticlepackingtheory