Influence patterns of coal mining-induced subsidence on economic losses from soil erosion of loess slopes in the middle reaches of the Yellow River

Authors

SONG Shijie, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, ChinaåFollow
LI Yuanhong, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, Chinaå
WANG Yi, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, Chinaå
LIU Lu, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, Chinaå
TIAN Yu, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, Chinaå
TAN Qingyu, College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China; Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, China; Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi’an 710054, Chinaå

Abstract

Background Quantitative assessment of economic losses from soil erosion on subsidence slopes in coal mining-induced subsidence areas can offer a critical basis for formulating scientific economic compensation standards while also laying a solid foundation for efficient governance.Methods This study investigated the subsidence slopes with different morphologies in the typical loess area subjected to coal mining-induced subsidence in northern Shaanxi Province. Using methods including field sampling, laboratory tests, and environmental economics analysis, this study constructed an index system for the quantitative assessment of economic losses from soil erosion on coal mining-induced subsidence slopes and revealed the variation patterns of such economic losses. Results and Conclusions An index system was constructed for the quantitative assessment of economic losses from soil erosion on coal mining-induced subsidence slopes. This system included four subsystems (i.e., soil moisture loss, soil nutrient loss, land abandonment, and sediment loss) and eight quantitative assessment indices (i.e., soil moisture, organic matter, alkali-hydrolyzable nitrogen, available phosphorus, soil available potassium loss, abandoned land area, sediment retention, and sediment deposition). With an increase in the slope gradient, the economic losses related to soil moisture, organic matter, alkali-hydrolyzable nitrogen, and available potassium caused by soil erosion on subsidence slopes decreased significantly, whereas the economic loss from sediment retention increased significantly. The economic losses related to soil moisture, organic matter, alkali-hydrolyzable nitrogen, available phosphorus, and available potassium peaked in the case of straight slopes at angles of +≤5°. In contrast, the economic losses from land abandonment, sediment retention, and sediment deposition reached the maximum in the case of straight slopes at angles of +＞15°. With an increase in the slope gradient, the total economic losses from soil erosion on straight and convex, composite, and concave subsidence slopes exhibited an initial rise followed by a decline, a continuous decrease, and first stabilization followed by an increase, respectively. The sum of the economic losses from sediment retention, soil organic matter loss, and land abandonment accounted for 91.69 % of the total economic losses from soil erosion on subsidence slopes. Therefore, the three indices should be highlighted in the efficient management and economic compensation after soil erosion on subsidence slopes. Overall, the results of this study provide a scientific basis for the precise management of soil erosion in the coal mining-induced subsidence areas in the middle reaches of the Yellow River.

Keywords

soil erosion, economic loss, influence pattern, coal mining-induced subsidence, slope scale, middle reaches of the Yellow River

DOI

10.12363/issn.1001-1986.25.06.0414

Recommended Citation

SONG Shijie, LI Yuanhong, WANG Yi, et al. (2025) "Influence patterns of coal mining-induced subsidence on economic losses from soil erosion of loess slopes in the middle reaches of the Yellow River," Coal Geology & Exploration: Vol. 53: Iss. 10, Article 5.
DOI: 10.12363/issn.1001-1986.25.06.0414
Available at: https://cge.researchcommons.org/journal/vol53/iss10/5

Reference

[1] 宋世杰，成星，王双明，等. 黄河中游陕北煤矿区采动地裂缝对土壤入渗特性的影响及其侵蚀效应[J]. 煤炭学报，2025，50(2)：1234−1248.

SONG Shijie，CHENG Xing，WANG Shuangming，et al. Influence of mining-induced ground fissures on soil infiltration characteristics and its erosion effect in coal mining area of northern Shaanxi in the middle reaches of the Yellow River[J]. Journal of China Coal Society，2025，50(2)：1234−1248.

[2] 王双明，杜麟，宋世杰. 黄河流域陕北煤矿区采动地裂缝对土壤可蚀性的影响[J]. 煤炭学报，2021，46(9)：3027−3038.

WANG Shuangming，DU Lin，SONG Shijie. Influence of mining ground fissures on soil erodibility in northern Shaanxi coal mining area of Yellow River Basin[J]. Journal of China Coal Society，2021，46(9)：3027−3038.

[3] SONG Shijie，ZHENG Beibei，SUN Tao，et al. Influence of different mining damage types on soil erodibility in coal mining areas of northern Shaanxi in the middle reaches of the Yellow River in China[J]. Sustainability，2023，15(6)：5434.

[4] COSTANZA R，DE GROOT R，SUTTON P，et al. Changes in the global value of ecosystem services[J]. Global Environmental Change，2014，26：152−158.

[5] GUNATILAKE H M，VIETH G R. Estimation of on–site cost of soil erosion：A comparison of replacement and productivity change methods[J]. Journal of Soil and Water Conservation，2000，55(2)：197−204.

[6] ANASIRU R H，RAYES M L，SETIAWAN B，et al. Economic valuation of soil erosion on cultivated drylands in Langge sub–watershed，Gorontalo，Indonesia[J]. Journal of Natural Sciences Research，2013，3(8)：40−48.

[7] 许月卿，蔡运龙. 土壤侵蚀经济损失分析及价值估算：以贵州省猫跳河流域为例[J]. 长江流域资源与环境，2006，15(4)：470−474.

XU Yueqing，CAI Yunlong. Economic loss analysis on soil erosion and estimation of its values：A case study of Maotiaohe Basin，Guizhou Province[J]. Resources and Environment in the Yangtze Basin，2006，15(4)：470−474.

[8] 舒浩. 陕西省矿产资源开采水土流失经济损失估算方法研究[D]. 西安：西安科技大学，2016.

SHU Hao. Estimation methods of economic loss of soil and water in mineral resources exploitation in Shaanxi Province[D]. Xi’an：Xi’an University of Science and Technology，2016.

[9] WORLANYO A S，LI Jiangfeng. Evaluating the environmental and economic impact of mining for post–mined land restoration and land–use：A review[J]. Journal of Environmental Management，2021，279：111623.

[10] 张耀方，江东，史东梅，等. 重庆市煤矿开采区土壤侵蚀特征及水土保持模式研究[J]. 水土保持研究，2011，18(6)：94−99.

ZHANG Yaofang，JIANG Dong，SHI Dongmei，et al. Research on soil erosion characteristics and soil and water conservation pattern in coal mine exploration area of Chongqing[J]. Research of Soil and Water Conservation，2011，18(6)：94−99.

[11] TELLES T S，FATIMA M，DECHEN S C F. The costs of soil erosion[J]. Revista Brasileira de Ciência do Solo，2011，35(2)：287−298.

[12] 毕银丽，刘京，尚建选，等. 陕北采煤沉陷区土壤水分入渗和蒸发特征研究[J]. 中国矿业大学学报，2022，51(5)：839−849.

BI Yinli，LIU Jing，SHANG Jianxuan，et al. Study on the characteristics of soil moisture infiltration and evaporation in the coal mining subsidence area of coal mines in northern Shaanxi[J]. Journal of China University of Mining & Technology，2022，51(5)：839−849.

[13] 魏江生，何金军，高永，等. 黄土丘陵区土壤水分时空变化特征对采煤沉陷的响应[J]. 水土保持通报，2008，28(5)：66−69.

WEI Jiangsheng，HE Jinjun，GAO Yong，et al. Response of spatial and temporal characteristics of soil moisture to mining subsidence in Loess Hilly region[J]. Bulletin of Soil and Water Conservation，2008，28(5)：66−69.

[14] 宋世杰，孙涛，郑贝贝，等. 陕北黄土沟壑区采煤沉陷对黄土坡面形态的影响及土壤侵蚀效应[J]. 煤炭科学技术，2023，51(2)：422−435.

SONG Shijie，SUN Tao，ZHENG Beibei，et al. Effect of coal mining subsidence on loess slope morphology and soil erosion in Loess Gully region of northern Shaanxi[J]. Coal Science and Technology，2023，51(2)：422−435.

[15] 刘均阳，周正朝，苏雪萌. 植物根系对土壤团聚体形成作用机制研究回顾[J]. 水土保持学报，2020，34(3)：267−273.

LIU Junyang，ZHOU Zhengchao，SU Xuemeng. Review of the mechanism of root system on the formation of soil aggregates[J]. Journal of Soil and Water Conservation，2020，34(3)：267−273.

[16] 李奎，岳大鹏，刘鹏，等. 基于GIS与RUSLE的榆林市土壤侵蚀空间分布研究[J]. 水土保持通报，2014，34(6)：172−178.

LI Kui，YUE Dapeng，LIU Peng，et al. Spatial distribution of soil erosion analyzed based on GIS and RUSLE in Yulin City[J]. Bulletin of Soil and Water Conservation，2014，34(6)：172−178.

[17] 蔡延江，王连峰. 侵蚀土壤物理性质变化及其与土壤氮素迁移转化的关系[J]. 中国农学通报，2007，23(3)：279−283.

CAI Yanjiang，WANG Lianfeng. Relationship between physical properties of eroded soil and nitrogen transformation[J]. Chinese Agricultural Science Bulletin，2007，23(3)：279−283.

[18] 唐荣. 黄河源区土壤侵蚀模型构建与经济损失评估[D]. 兰州：兰州大学，2022.

TANG Rong. Soil erosion model construction and economic loss assessment in the Yellow River source area[D]. Lanzhou：Lanzhou University，2022.

[19] 李叶鑫，吕刚，刘国阳，等. 煤矿区水土流失特征及防控措施效应研究进展[J]. 土壤通报，2025，56(1)：291−300.

LI Yexin，LYU Gang，LIU Guoyang，et al. A review on soil erosion characteristics and control practice effect in coal mining areas[J]. Chinese Journal of Soil Science，2025，56(1)：291−300.

[20] 刘宝元，谢云，符素华，等. 中国土壤流失方程[M]. 北京：科学出版社，2024.

LIU Baoyuan，XIE Yun，FU Suhua，et al. Chinese soil loss equation[M]. Beijing：Science Press，2024.

[21] 周夏飞，朱文泉，马国霞，等. 江西省赣州市稀土矿开采导致的水土保持价值损失评估[J]. 自然资源学报，2016，31(6)：982−993.

ZHOU Xiafei，ZHU Wenquan，MA Guoxia，et al. Assessing the loss value of soil and water conservation resulted from the mining of rare earth ore in Ganzhou，Jiangxi Province[J]. Journal of Natural Resources，2016，31(6)：982−993.

[22] 石若莹，朱清科，李依璇，等. 陕北黄土区坡面微地形与群落数量特征的关系[J]. 中国水土保持科学，2021，19(3)：1−7.

SHI Ruoying，ZHU Qingke，LI Yixuan，et al. The relationship between slope micro topography and community quantity characteristics in loess area of north Shaanxi Province[J]. Science of Soil and Water Conservation，2021，19(3)：1−7.

[23] 刘社虎，时亚民，高光普，等. 基于水土流失模型的榆林市近30年煤炭开发过程中土壤水力侵蚀状况及其对生态环境的影响[J]. 地质通报，2025，44(6)：1048−1061.

LIU Shehu，SHI Yamin，GAO Guangpu，et al. Soil water erosion status and its impact on the ecological environment in Yulin during coal exploitation over the recent 30 years based on the RUSLE model[J]. Geological Bulletin of China，2025，44(6)：1048−1061.

[24] 苏婧. 陕北煤矿区环境影响回顾调查及生态修复研究[D]. 西安：西安建筑科技大学，2015.

SU Jing. Environmental impact investigation and ecological restoration of the northern Shaanxi coal mine area[D]. Xi’an：Xi’an University of Architecture and Technology，2015.

[25] 宋世杰，杜麟，王双明，等. 陕北采煤沉陷区不同沉陷年限黄土坡面土壤可蚀性的变化规律[J]. 煤炭科学技术，2022，50(2)：289−299

与文献1重复 SONG Shijie，DU Lin，WANG Shuangming，et al. Variation of soil erodibility on loess slope under various subsidence years in coal mining subsidence area located northern Shaanxi[J]. Coal Science and Technology，2022，50(2)：289−299.

[26] 王艺. 陕北煤炭开采区黄土沉陷坡面水土流失的经济损失评价[D]. 西安：西安科技大学，2024.

WANG Yi. Economic loss evaluation of soil and water loss on loess subsidence slope in coal mining area of northern Shaanxi[D]. Xi’an：Xi’an University of Science and Technology，2024.

[27] 郭碧花，张雪梅，刘金平，等. 坡度对高寒草甸公路护坡土壤性状及沙化表现的影响[J]. 草业学报，2022，31(11)：15−24.

GUO Bihua，ZHANG Xuemei，LIU Jinping，et al. Effects of slope on soil properties and post construction desertification of highway embankments in an Alpine Meadow region[J]. Acta Prataculturae Sinica，2022，31(11)：15−24.

[28] 张保华，陶宝先，曹建荣，等. 黄河下游冲积平原潮土土壤孔隙微形态特征[J]. 干旱区地理，2020，43(3)：687−693.

ZHANG Baohua，TAO Baoxian，CAO Jianrong，et al. Micromorphological characteristics of soil voids of fluvo–aquic soil in the alluvial plain of the lower Yellow River[J]. Arid Land Geography，2020，43(3)：687−693.

[29] 王而力，王嗣淇，王雅迪. 风沙土不同粒径微团聚体对氨氮的富集特征[J]. 农业环境科学学报，2013，32(2)：320−326.

WANG Erli，WANG Siqi，WANG Yadi. Enrichment characteristic of ammonia–nitrogen on different grain sizes micro–aggregate of sandy soil[J]. Journal of Agro–Environment Science，2013，32(2)：320−326.

[30] 王百群，刘国彬. 黄土丘陵区地形对坡地土壤养分流失的影响[J]. 土壤侵蚀与水土保持学报，1999，5(2)：18−22.

WANG Baiqun，LIU Guobin. Effects of relief on soil nutrient losses in sloping fields in hilly region of Loess Plateau[J]. Journal of Soil Erosion and Soil and Water Conservation，1999，5(2)：18−22.

[31] 赵鸿雁，吴钦孝，刘国彬. 黄土高原森林植被水土保持机理研究[J]. 林业科学，2001，37(5)：140−144.

ZHAO Hongyan，WU Qinxiao，LIU Guobin. Mechanism on soil and water conservation of forest vegetation on the Loess Plateau[J]. Scientia Silvae Sinicae，2001，37(5)：140−144.

[32] 孔刚，王全九，樊军. 坡度对黄土坡面养分流失的影响实验研究[J]. 水土保持学报，2007，21(3)：14−18.

KONG Gang，WANG Quanjiu，FAN Jun. Research on nutrient loss from loessial soil under different slope[J]. Journal of Soil and Water Conservation，2007，21(3)：14−18.

[33] 刘世梁，郭旭东，连纲，等. 黄土高原土壤养分空间变异的多尺度分析：以横山县为例[J]. 水土保持学报，2005，19(5)：105−108.

LIU Shiliang，GUO Xudong，LIAN Gang，et al. Multi–scale analysis of spatial variation of soil characteristics in Loess Plateau：Case study of Hengshan County[J]. Journal of Soil and Water Conservation，2005，19(5)：105−108.

[34] 王辉，王全九，邵明安. 人工降雨条件下黄土坡面养分随径流迁移试验[J]. 农业工程学报，2006，22(6)：39−44.

WANG Hui，WANG Quanjiu，SHAO Ming’an. Laboratory experiments of soil nutrient transfer in the loess slope with surface runoff during simulated rainfall[J]. Transactions of the Chinese Society of Agricultural Engineering，2006，22(6)：39−44.

[35] 郑良勇，李占斌，李鹏. 黄土高原陡坡土壤侵蚀特性试验研究[J]. 水土保持研究，2003，10(2)：47−49.

ZHENG Liangyong，LI Zhanbin，LI Peng. Experimental study on soil erosion characteristics of steep slope on Loess Plateau[J]. Research of Soil and Water Conservation，2003，10(2)：47−49.

[36] 冯浩轩，李敏，行嘉豪，等. 盐分及干湿循环对壤土蒸发特性与裂隙发育影响的机理探究[J]. 农业工程学报，2025，41(11)：124−135.

FENG Haoxuan，LI Min，XING Jiahao，et al. Mechanism explorations of salt and drying–wetting cycle affecting evaporation and crack development of loam soil[J]. Transactions of the Chinese Society of Agricultural Engineering，2025，41(11)：124−135.

[37] 于洪丹，陈卫忠，谭贤君，等. 饱和过程中黏土岩变形和水化膨胀特性研究[J]. 岩石力学与工程学报，2022，41(增刊2)：3534−3542.

YU Hongdan，CHEN Weizhong，TAN Xianjun，et al. Deformation and hydration swelling characteristics of clay rock during saturation[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(Sup.2)：3534−3542.

[38] 关晓迪，李荣建，张世斌，等. 不同雨强和坡比条件下黄土边坡降雨入渗研究[J]. 人民黄河，2022，44(1)：106−111.

GUAN Xiaodi，LI Rongjian，ZHANG Shibin，et al. Study on rainfall infiltration of loess slopes based on different rainfall intensities and slope ratios[J]. Yellow River，2022，44(1)：106−111.

[39] 王刚，孙萍，吴礼舟，等. 灌溉作用下浅表层黄土滑坡变形破坏机理实验研究[J]. 地质力学学报，2017，23(5)：778−787.

WANG Gang，SUN Ping，WU Lizhou，et al. Experimental study on deformation and failure mechanism of shallow loess landslide under the effect of irrigation[J]. Journal of Geomechanics，2017，23(5)：778−787.

[40] 付玉，李光录，郑腾辉，等. 雨滴击溅对耕作层土壤团聚体粒径分布的影响[J]. 农业工程学报，2017，33(3)：155−160.

FU Yu，LI Guanglu，ZHENG Tenghui，et al. Effects of raindrop splash on aggregate particle size distribution of soil plough layer[J]. Transactions of the Chinese Society of Agricultural Engineering，2017，33(3)：155−160.

[41] 严宁珍，白仲才，徐卫红，等. 喀斯特山地土地利用方式对土壤团粒的影响：以重庆黔江为例[J]. 中国岩溶，2011，30(1)：72−77.

YAN Ningzhen，BAI Zhongcai，XU Weihong，et al. Land use effect on soil aggregates in the karst hilly areas：A case study in Qianjiang，Chongqing，China[J]. Carsologica Sinica，2011，30(1)：72−77.

[42] 赵紫远，方海燕，武亚冰，等. 坡形对黑土区坡耕地土壤侵蚀的模型模拟研究[J]. 水土保持学报，2022，36(6)：23−29.

ZHAO Ziyuan，FANG Haiyan，WU Yabing，et al. Simulating the impact of slope shapes on soil erosion for the black soil region，Northeastern China[J]. Journal of Soil and Water Conservation，2022，36(6)：23−29.

[43] 宋世杰，冯泽煦，孙涛，等. 陕北采煤沉陷区黄土坡面形变与土壤侵蚀效应[J]. 西安科技大学学报，2023，43(2)：301−311.

SONG Shijie，FENG Zexu，SUN Tao，et al. Loess slope deformation and soil erosion effect in coal mining subsidence area of northern Shaanxi[J]. Journal of Xi’an University of Science and Technology，2023，43(2)：301−311.

[44] 宋世杰，刘露，魏江波，等. 黄河中游陕北煤矿区黄土坡面沉陷形变叠加冻融作用的土壤侵蚀效应[J/OL]. 煤炭学报，2025：1–16 [2025-07-15]. https://link.cnki.net/doi/10.13225/j.cnki.jccs.2025.0333.

SONG Shijie，LIU Lu，WEI Jiangbo，et al. Soil erosion effect of subsidence deformation superimposed freeze–thaw action on loess slope in coal mining area of northern Shaanxi in the middle reaches of the Yellow River[J/OL]. Journal of China Coal Society，2025：1–16 [2025-07-15]. https://link.cnki.net/doi/10.13225/j.cnki.jccs.2025.0333.

[45] 朱启明，齐小倩，刘俊娥，等. 黄土高原土壤细沟输沙能力对坡度和流量的响应[J]. 水土保持学报，2025，39(4)：168−176.

ZHU Qiming，QI Xiaoqian，LIU Jun’e，et al. Response of rill sediment transport capacity to slope gradient and flow rate for soils on the Loess Plateau[J]. Journal of Soil and Water Conservation，2025，39(4)：168−176.

[46] 吕威，武新英，李法虎. 径流量和坡度对复合坡薄层径流水力学特性的影响[J]. 水土保持学报，2016，30(5)：11−17.

LYU Wei，WU Xinying，LI Fahu. Shallow runoff hydraulic characteristics affected by runoff rate and slope gradient of composite slope[J]. Journal of Soil and Water Conservation，2016，30(5)：11−17.

[47] 陈林万，张晓超，裴向军，等. 降雨诱发直线型黄土填方边坡失稳模型试验[J]. 水文地质工程地质，2021，48(6)：151−160.

CHEN Linwan，ZHANG Xiaochao，PEI Xiangjun，et al. Model test of the linear loess fill slope instability induced by rainfall[J]. Hydrogeology & Engineering Geology，2021，48(6)：151−160.

[48] 范昊明，王铁良，周丽丽，等. 不同坡形坡面径流流速时空分异特征研究[J]. 水土保持学报，2007，21(6)：35−38.

FAN Haoming，WANG Tieliang，ZHOU Lili，et al. Study on temporal and spatial variation of current velocity on different form slopes[J]. Journal of Soil and Water Conservation，2007，21(6)：35−38.

[49] 季翔，黄炎和，林金石，等. 基于DEM的坡形与水土流失的关系：以西溪小流域为研究区[J]. 中国农业大学学报，2019，24(2)：161−171.

JI Xiang，HUANG Yanhe，LIN Jinshi，et al. Relationship between slope shape and soil and water loss：A case study of Xixi catchment watershed[J]. Journal of China Agricultural University，2019，24(2)：161−171.

[50] 翟朝阳，邱娟，司洪章，等. 微地形对大西沟新疆野杏萌发层土壤因子的影响[J]. 生态学报，2019，39(6)：2168−2179.

ZHAI Zhaoyang，QIU Juan，SI Hongzhang，et al. Effects of microtopography on germination layer soil factors in Armeniaca vulgaris Lam. in Daxigou[J]. Acta Ecologica Sinica，2019，39(6)：2168−2179.

[51] 殷爽，李毅然，李露，等. 黑土团聚体有机碳对耕作与水蚀的响应差异[J]. 中国水土保持科学，2020，18(3)：67−73.

YIN Shuang，LI Yiran，LI Lu，et al. Different responses of aggregates–associated organic carbon to tillage and water erosion in the black soil region[J]. Science of Soil and Water Conservation，2020，18(3)：67−73.

[52] 王丽娟，苏正安，周涛，等. 藏东南区梯田和复合坡耕地土壤侵蚀对有机碳和全氮空间分布格局的影响[J]. 水土保持通报，2022，42(5)：293−300.

WANG Lijuan，SU Zheng’an，ZHOU Tao，et al. Impacts of soil erosion on spatial patterns of soil organic carbon and total nitrogen in terraced fields and complex sloping land of southeast Tibet[J]. Bulletin of Soil and Water Conservation，2022，42(5)：293−300.

[53] 王伦，郑粉莉，师宏强，等. 壤中流和土壤解冻深度对黑土坡面融雪侵蚀的影响[J]. 应用生态学报，2021，32(12)：4177−4185.

WANG Lun，ZHENG Fenli，SHI Hongqiang，et al. Impacts of seepage flow and soil thaw depth on hillslope snowmelt erosion in Chinese Mollisol region[J]. Chinese Journal of Applied Ecology，2021，32(12)：4177−4185.

[54] 丁贵惠，任忠政，胡伟，等. 侵蚀性降雨对黑土坡耕地土壤侵蚀特征的影响[J]. 水土保持学报，2024，38(2)：47−56.

DING Guihui，REN Zhongzheng，HU Wei，et al. Effects of erosive rainfall on soil erosion characteristics of black sloping farmland[J]. Journal of Soil and Water Conservation，2024，38(2)：47−56.

[55] 隗晓琪，吴松柏. 坡形对坡面侵蚀过程的影响机制研究[J]. 中国农村水利水电，2023(7)：117−123.

WEI Xiaoqi，WU Songbai. Research on the effects of the slope shape on the soil erosion process on the sloping surface[J]. China Rural Water and Hydropower，2023(7)：117−123.

[56] 宋世杰，张家杰，王双明，等. 陕北采煤沉陷区覆岩层状结构对凹形黄土坡面形态的影响及土壤侵蚀效应[J]. 金属矿山，2025(5)：174−184.

SONG Shijie，ZHANG Jiajie，WANG Shuangming，et al. Effects of overlying rock stratigraphy on the morphology of concave loess slopes and the effect of soil erosion in the coal mining subsidence area of northern Shaanxi，China[J]. Metal Mine，2025(5)：174−184.