Article(id=1241416383364395336, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241416382559081210, articleNumber=null, orderNo=null, doi=10.3969/j.issn.0253-6099.2025.03.004, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1733587200000, receivedDateStr=2024-12-08, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1773906330194, onlineDateStr=2026-03-19, pubDate=1748707200000, pubDateStr=2025-06-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773906330194, onlineIssueDateStr=2026-03-19, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773906330194, creator=13701087609, updateTime=1773906330194, updator=13701087609, issue=Issue{id=1241416382559081210, tenantId=1146029695717560320, journalId=1235980550691926019, year='2025', volume='45', issue='3', pageStart='1', pageEnd='223', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773906330003, creator=13701087609, updateTime=1773908015401, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241423451685179940, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241416382559081210, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241423451685179941, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241416382559081210, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=22, endPage=28, ext={EN=ArticleExt(id=1241416384031289676, articleId=1241416383364395336, tenantId=1146029695717560320, journalId=1235980550691926019, language=EN, title=Threshold Model for Rainfall-Induced Landslides in Yuanma Basin, columnId=1236276106018484431, journalTitle=Mining and Metallurgical Engineering, columnName=MINING, runingTitle=null, highlight=null, articleAbstract=
As for rainfall-induced landslides in Mayang, Yuanling and Luxi counties within the red-bed region of the Yuanma Basin in Hunan Province, a correlation between landslides and rainfall were analyzed. Based on the E-D threshold model, the daily rainfall (R) was introduced as a third indicator to construct an E-D-R threshold model, thereby rainfall thresholds were determined for the Yuanma Basin. The study area was divided into warning units with the Thiessen Polygon method, enabling a county-level, unit-based graded warning response. The results show that the period from four days before a landslide to the day of the landslide represents the critical rainfall period for inducing landslides in the Yuanma Basin, and it is deemed appropriate for the effectiveness coefficient (α) of the rainfall to be 0.5. Compared to the two-dimensional E-D threshold model, the three-dimensional E-D-R threshold model demonstrates higher precision and offers greater accuracy and reliability in landslide risk assessment. The grid-based and refined division of warning units not only enhances the refined management and control capabilities of meteorological warnings for landslide disasters, but also facilitates unit-specific differentiated warnings in future forecasting by integrating predicted rainfall and rain information.
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以湖南省沅麻盆地红层区麻阳、沅陵、泸溪三县降雨型滑坡为研究对象,进行滑坡与降雨的相关性分析;在E-D阈值模型基础上,引入当日降雨量R作为第三指标构建E-D-R阈值模型,确定沅麻盆地降雨阈值;基于泰森多边形划分方法,对研究区域进行预警单元划分,实现县域级别的单元分级预警响应。结果表明:滑坡前4 d至滑坡当日为沅麻盆地诱发滑坡的关键降雨时期,降雨有效系数α取0.5较为合适;相较于E-D二维阈值模型,E-D-R三维阈值模型精度更高,在滑坡风险评估中具有更高的准确性和可靠性;网格化、精细化预警单元划分不仅能增强滑坡灾害气象预警的精细化管控能力,而且能在未来预警预报中,结合预报雨量和降雨信息,实现单元差异化预警。
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1.湖南省自然资源调查所,湖南 长沙 410014, bio={"content":"
龙长聪(1984—),男,湖南隆回人,硕士,高级工程师,主要从事水工环地质与岩土工程方面的研究工作。E-mail:279576356@qq.com
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龙长聪(1984—),男,湖南隆回人,硕士,高级工程师,主要从事水工环地质与岩土工程方面的研究工作。E-mail:279576356@qq.com
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Rainfall in Yuanma Basin from 2010 to 2022, figureFileSmall=Zw8xjrFjcJK5wceOntmxhg==, figureFileBig=jEcP3Ce8ZDv7KiMe8Mmeiw==, tableContent=null), ArticleFig(id=1241422265926079470, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图1, caption=
2010—2022年沅麻盆地降雨量情况(a)月平均降雨量;(b)年降雨量
, figureFileSmall=Zw8xjrFjcJK5wceOntmxhg==, figureFileBig=jEcP3Ce8ZDv7KiMe8Mmeiw==, tableContent=null), ArticleFig(id=1241422266110628862, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.2, caption=
Statistics of landslides and their economic cost in Yuanma Basin from 2000 to 2022, figureFileSmall=hVWiR4aJBNesD9vdZaw1pQ==, figureFileBig=4onTLR2GG1O98VKTk+xqlg==, tableContent=null), ArticleFig(id=1241422266219679750, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图2, caption=
2000—2022年沅麻盆地滑坡数量及滑坡造成的经济损失(a)滑坡数量;(b)经济损失
, figureFileSmall=hVWiR4aJBNesD9vdZaw1pQ==, figureFileBig=4onTLR2GG1O98VKTk+xqlg==, tableContent=null), ArticleFig(id=1241422266332925965, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.3, caption=
Monthly average rainfall and frequency of landslide disasters in Yuanma Basin from 2010 to 2022, figureFileSmall=S2B2XPI26WdHnA952w14vw==, figureFileBig=eNLrtjC+NQTz7+5+PYUVuA==, tableContent=null), ArticleFig(id=1241422266429394968, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图3, caption=
2010—2022年沅麻盆地滑坡灾害频次与全年月平均降雨量分布情况, figureFileSmall=S2B2XPI26WdHnA952w14vw==, figureFileBig=eNLrtjC+NQTz7+5+PYUVuA==, tableContent=null), ArticleFig(id=1241422266563612703, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.4, caption=
E-D threshold curve of landslides in Yuanma Basin, figureFileSmall=xZwE6cYDemsu7ZJ4FZHpfw==, figureFileBig=VmP7msQhYSmu/5Yo4yUIeQ==, tableContent=null), ArticleFig(id=1241422266651693094, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图4, caption=
沅麻盆地滑坡E-D阈值曲线, figureFileSmall=xZwE6cYDemsu7ZJ4FZHpfw==, figureFileBig=VmP7msQhYSmu/5Yo4yUIeQ==, tableContent=null), ArticleFig(id=1241422266794299440, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.5, caption=
E-D threshold curves for landslides with different hazard probabilities, figureFileSmall=wZDtjPHL/8aT6g5B97302g==, figureFileBig=87e0s8L5kmok+7fqSVvJVA==, tableContent=null), ArticleFig(id=1241422266894962744, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图5, caption=
不同滑坡概率的E-D阈值曲线, figureFileSmall=wZDtjPHL/8aT6g5B97302g==, figureFileBig=87e0s8L5kmok+7fqSVvJVA==, tableContent=null), ArticleFig(id=1241422266991431744, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.6, caption=
3D scatter plot and projection of E-D-R threshold model, figureFileSmall=ZFK7iIiQqCvDLWOW6g5Pig==, figureFileBig=Xn4TnRdeCKHRoJz8gZtI4Q==, tableContent=null), ArticleFig(id=1241422267125649480, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图6, caption=
E-D-R三维散点分布及投影, figureFileSmall=ZFK7iIiQqCvDLWOW6g5Pig==, figureFileBig=Xn4TnRdeCKHRoJz8gZtI4Q==, tableContent=null), ArticleFig(id=1241422267259867218, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.7, caption=
3D E-D-R threshold grading, figureFileSmall=Qat36efE0DeQh7VjpImdaA==, figureFileBig=9mJ9PuwlpnZYDEFgfAgOJg==, tableContent=null), ArticleFig(id=1241422267394084952, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图7, caption=
E-D-R三维阈值等级划分, figureFileSmall=Qat36efE0DeQh7VjpImdaA==, figureFileBig=9mJ9PuwlpnZYDEFgfAgOJg==, tableContent=null), ArticleFig(id=1241422267511525470, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.8, caption=
Accuracy verification of threshold models, figureFileSmall=DVz4C4WoAtLu9k/LwSkgkQ==, figureFileBig=OGGDAjXxwtQOuZZEUiHYXw==, tableContent=null), ArticleFig(id=1241422269092778089, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图8, caption=
阈值模型精度检验结果(a)E-D二维阈值模型;(b)E-D-R三维阈值模型
, figureFileSmall=DVz4C4WoAtLu9k/LwSkgkQ==, figureFileBig=OGGDAjXxwtQOuZZEUiHYXw==, tableContent=null), ArticleFig(id=1241422269260550263, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.9, caption=
Units in Yuanma Basin with meteorological disaster warning, figureFileSmall=3wy3FSILgmz17KqWLyRZ0Q==, figureFileBig=zYKY1pJdq+m1XT85dni14A==, tableContent=null), ArticleFig(id=1241422269428322442, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图9, caption=
沅麻盆地气象灾害预警单元, figureFileSmall=3wy3FSILgmz17KqWLyRZ0Q==, figureFileBig=zYKY1pJdq+m1XT85dni14A==, tableContent=null), ArticleFig(id=1241422269583511701, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Fig.10, caption=
Early warning grades of landslide hazard, figureFileSmall=wUr3WdZxfmOMEKMJIhB7hQ==, figureFileBig=cdLznjdyLkUtLOt2TFHPOA==, tableContent=null), ArticleFig(id=1241422269772255391, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=图10, caption=
滑坡灾害预警结果, figureFileSmall=wUr3WdZxfmOMEKMJIhB7hQ==, figureFileBig=cdLznjdyLkUtLOt2TFHPOA==, tableContent=null), ArticleFig(id=1241422269893890220, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Table 1, caption=
Statistical analysis of the maximum daily rainfall within 15 days before landslide and landslide occurrence
, figureFileSmall=null, figureFileBig=null, tableContent=
| 最大日降雨量/mm | 降雨等级 | 滑坡数/个 | 滑坡比例/% |
|---|
| [0,10) | 小雨 | 10 | 4.41 |
| [10,25) | 中雨 | 29 | 12.77 |
| [25,50) | 大雨 | 73 | 32.16 |
| [50,100) | 暴雨 | 50 | 22.03 |
| [100,250) | 大暴雨 | 64 | 28.19 |
| [250,+∞) | 特大暴雨 | 1 | 0.44 |
), ArticleFig(id=1241422270036496566, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=表1, caption=
滑坡前15 d最大日降雨量及滑坡数统计
, figureFileSmall=null, figureFileBig=null, tableContent=
| 最大日降雨量/mm | 降雨等级 | 滑坡数/个 | 滑坡比例/% |
|---|
| [0,10) | 小雨 | 10 | 4.41 |
| [10,25) | 中雨 | 29 | 12.77 |
| [25,50) | 大雨 | 73 | 32.16 |
| [50,100) | 暴雨 | 50 | 22.03 |
| [100,250) | 大暴雨 | 64 | 28.19 |
| [250,+∞) | 特大暴雨 | 1 | 0.44 |
), ArticleFig(id=1241422270204268732, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Table 2, caption=
Correlation between landslides and accumulated rainfall in the early period
, figureFileSmall=null, figureFileBig=null, tableContent=
| 累计降雨量 | 相关系数r | 累计降雨量 | 相关系数r |
|---|
| P0 | 0.597** | P8 | 0.513** |
| P1 | 0.632** | P9 | 0.510* |
| P2 | 0.609** | P10 | 0.507** |
| P3 | 0.590** | P11 | 0.490** |
| P4 | 0.591** | P12 | 0.495** |
| P5 | 0.557** | P13 | 0.484** |
| P6 | 0.526** | P14 | 0.483** |
| P7 | 0.529** | P15 | 0.490** |
), ArticleFig(id=1241422270342680776, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=表2, caption=
滑坡与前期累计降雨量相关性分析结果
, figureFileSmall=null, figureFileBig=null, tableContent=
| 累计降雨量 | 相关系数r | 累计降雨量 | 相关系数r |
|---|
| P0 | 0.597** | P8 | 0.513** |
| P1 | 0.632** | P9 | 0.510* |
| P2 | 0.609** | P10 | 0.507** |
| P3 | 0.590** | P11 | 0.490** |
| P4 | 0.591** | P12 | 0.495** |
| P5 | 0.557** | P13 | 0.484** |
| P6 | 0.526** | P14 | 0.483** |
| P7 | 0.529** | P15 | 0.490** |
), ArticleFig(id=1241422270476898516, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Table 3, caption=
Correlation between landslides and effectively accumuted rainfall under different α values
, figureFileSmall=null, figureFileBig=null, tableContent=
| α | 相关系数r | α | 相关系数r |
|---|
| 0.4 | 0.641** | 0.8 | 0.639** |
| 0.5 | 0.643** | 0.9 | 0.636** |
| 0.6 | 0.643** | 1.0 | 0.632** |
| 0.7 | 0.641** | | |
), ArticleFig(id=1241422270598533342, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=表3, caption=
不同α值下滑坡与有效累计降雨量相关性分析
, figureFileSmall=null, figureFileBig=null, tableContent=
| α | 相关系数r | α | 相关系数r |
|---|
| 0.4 | 0.641** | 0.8 | 0.639** |
| 0.5 | 0.643** | 0.9 | 0.636** |
| 0.6 | 0.643** | 1.0 | 0.632** |
| 0.7 | 0.641** | | |
), ArticleFig(id=1241422270736945384, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Table 4, caption=
Early warning results of different threshold models for Yuanma Basin
, figureFileSmall=null, figureFileBig=null, tableContent=
| 预警等级 | 预警结果比例/% |
|---|
| E-D模型 | E-D-R模型 |
|---|
| 不注意 | — | — |
| 注意 | 20.0 | 6.7 |
| 特别注意 | 13.3 | 33.3 |
| 警告 | 20.0 | 6.7 |
| 严重警告 | 46.7 | 53.3 |
), ArticleFig(id=1241422270862774511, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=表4, caption=
沅麻盆地不同阈值模型预警结果
, figureFileSmall=null, figureFileBig=null, tableContent=
| 预警等级 | 预警结果比例/% |
|---|
| E-D模型 | E-D-R模型 |
|---|
| 不注意 | — | — |
| 注意 | 20.0 | 6.7 |
| 特别注意 | 13.3 | 33.3 |
| 警告 | 20.0 | 6.7 |
| 严重警告 | 46.7 | 53.3 |
), ArticleFig(id=1241422271068295412, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=EN, label=Table 5, caption=
Rainfall thresholds in E-D-R model corresponding to different warning grades in Yuanma Basin
, figureFileSmall=null, figureFileBig=null, tableContent=
| 预警等级 | E-D-R降雨阈值 |
|---|
| 不注意 | ①E≤6.58D-0.13且R<1.8 |
| 注意 | ①6.58D-0.13≤E<17.25D-0.13且R<1.8 |
| ②E<6.58D-0.13且1.8≤R<7.8 |
| 特别注意 | ①17.25D-0.13≤E<47.27D-0.13且R<7.8 |
| ②E<17.25D-0.13且7.8≤R<40 |
| 警告 | ①47.27D-0.13≤E<129.27D-0.13且R<40 |
| ②E<47.27D-0.13且40≤R<104 |
| 严重警告 | ①E≥129.27D-0.13且R<104 |
), ArticleFig(id=1241422271202513148, tenantId=1146029695717560320, journalId=1235980550691926019, articleId=1241416383364395336, language=CN, label=表5, caption=
沅麻盆地不同预警等级对应的E-D-R模型降雨阈值
, figureFileSmall=null, figureFileBig=null, tableContent=
| 预警等级 | E-D-R降雨阈值 |
|---|
| 不注意 | ①E≤6.58D-0.13且R<1.8 |
| 注意 | ①6.58D-0.13≤E<17.25D-0.13且R<1.8 |
| ②E<6.58D-0.13且1.8≤R<7.8 |
| 特别注意 | ①17.25D-0.13≤E<47.27D-0.13且R<7.8 |
| ②E<17.25D-0.13且7.8≤R<40 |
| 警告 | ①47.27D-0.13≤E<129.27D-0.13且R<40 |
| ②E<47.27D-0.13且40≤R<104 |
| 严重警告 | ①E≥129.27D-0.13且R<104 |
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