Article(id=1307086175055930315, tenantId=1146029695717560320, journalId=1306274195778404443, issueId=1307086088166732376, articleNumber=null, orderNo=null, doi=10.12401/j.nwg.2026031, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1778515200000, receivedDateStr=2026-05-12, revisedDate=1781020800000, revisedDateStr=2026-06-10, acceptedDate=1781020800000, acceptedDateStr=2026-06-10, onlineDate=1789563228620, onlineDateStr=2026-09-16, pubDate=1787155200000, pubDateStr=2026-08-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789563228620, onlineIssueDateStr=2026-09-16, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789563228620, creator=13701087609, updateTime=1789563228620, updator=13701087609, issue=Issue{id=1307086088166732376, tenantId=1146029695717560320, journalId=1306274195778404443, year='2026', volume='59', issue='4', pageStart='1', pageEnd='386', issueExtLink='null', onlineDate='null', pubDate='1787155200000', pubDateStr='2026-08-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1789563207904, creator='13701087609', updateTime=1789616196824, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1307308339885531645, tenantId=1146029695717560320, journalId=1306274195778404443, issueId=1307086088166732376, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1307308339885531646, tenantId=1146029695717560320, journalId=1306274195778404443, issueId=1307086088166732376, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=354, endPage=364, ext={EN=ArticleExt(id=1307086175223702476, articleId=1307086175055930315, tenantId=1146029695717560320, journalId=1306274195778404443, language=EN, title=Regional Differences in the Water Retention Behavior of Collapsible Loess under Freeze-Thaw Cycles, columnId=null, journalTitle=Northwestern Geology, columnName=null, runingTitle=null, highlight=null, articleAbstract=
Loess is widely distributed in the seasonally frozen regions of China, and its particle composition, pore structure, and engineering properties exhibit significant regional zonation. Under freeze–thaw cycles, the internal pore structure of loess is continuously restructured, thereby affecting its water-holding capacity and the evolution of the soil-water characteristic curve (SWCC). To investigate the regional differences in the water-holding behavior of collapsible loess under freeze–thaw cycles, undisturbed sandy loess from Ningxia, silty loess from Shanxi, and clayey loess from Jingyang were selected. Considering different initial water contents and freeze–thaw cycle numbers, SWCCs were measured using a pressure plate apparatus and fitted with the Fredlund–Xing model. The results show that all SWCCs exhibit a typical S-shaped pattern, and the differences induced by freeze–thaw cycles are mainly concentrated in the main desaturation stage and the high-suction tail. Jingyang samples are the most sensitive to freeze–thaw action and show obvious staged restructuring; Ningxia samples exhibit pronounced moisture-content-dependent divergence; Shanxi samples change more gently overall. The fitted parameters a, b, and c all vary with freeze–thaw conditions, indicating that freeze–thaw cycles not only alter the air-entry-related feature, but also change the slope of the main desaturation section and the residual water-retention behavior in the high-suction range. Regional differences therefore control not only the initial water-holding capacity of loess, but also the restructuring path of its pore system under freeze–thaw disturbance. These findings provide an experimental basis for unsaturated seepage analysis, freeze–thaw degradation assessment, and water-induced hazard prevention in loess engineering in seasonally frozen regions.
, authors=Mi HE, Xinkai CHEN
*, authorsList=Mi HE, Xinkai CHEN, authorCompany=null, correspAuthors=Xinkai CHEN, authorNote=null, correspAuthorsNote=null, copyrightStatement=Copyright © 2026 Northwestern Geology. All rights reserved., copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1307086178310710235, articleId=1307086175055930315, tenantId=1146029695717560320, journalId=1306274195778404443, language=CN, title=冻融循环作用下不同区域湿陷性黄土持水特性区域差异, columnId=1307047819974570720, journalTitle=西北地质, columnName=非主题, runingTitle=null, highlight=null, articleAbstract=
黄土广泛分布于中国季节冻土区,其颗粒组成、孔隙结构及工程性质具有显著区域分带性。冻融循环作用下,黄土内部孔隙结构持续重组,进而影响其持水能力及土水特征曲线(SWCC)演化。为揭示不同区域湿陷性黄土在冻融循环作用下的持水特性差异,选取宁夏砂黄土、山西粉黄土和泾阳黏黄土3类原状黄土为研究对象,考虑不同初始含水率和冻融循环次数,采用压力膜仪测定土水特征曲线,并利用 Fredlund–Xing 模型进行拟合分析。结果表明:不同区域黄土 SWCC 均呈典型“S”形,冻融循环引起的差异主要集中在主脱饱和段和高吸力尾部;泾阳土样对冻融作用最为敏感并表现为明显的阶段性重组,宁夏土样表现出较强的含水率分化特征,山西土样整体变化较为平缓;Fredlund–Xing 模型参数a、b、c均随冻融条件发生变化,表明冻融循环不仅改变了进气特征,而且改变了主脱饱和段斜率和高吸力区残余持水特征。区域差异不仅决定黄土初始持水能力,也影响冻融扰动下孔隙结构重组的路径。研究结果可为季节冻土区黄土工程中非饱和渗流分析、冻融劣化评价及水致灾害防控提供试验依据。
, authors=贺密, 陈芯恺
*, authorsList=贺密, 陈芯恺, authorCompany=null, correspAuthors=陈芯恺, authorNote=
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, copyrightStatement=版权所有©《西北地质》编辑部 2026, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=tejMycg1xtIDiS7tZN1bhA==, magXml=64Z9LGhqkdfmg1LlPx8ljA==, pdfUrl=null, pdf=3cbbTbvo4arpaHpGLesokQ==, pdfFileSize=2694461, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=sqiEJTP4ipIzgQL4Z0oceg==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=B4P7ln5MQ9GaWzwMd7tMsQ==, mapNumber=null, fund=null)}, authors=[Author(id=1307086178616894432, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=584371639@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1307086178688197602, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, authorId=1307086178616894432, language=EN, stringName=Mi HE, firstName=Mi, middleName=null, lastName=HE, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=Sichuan Natural Resources Investigation and Design Group Ecological Environment Co., Ltd., Chengdu 610051,Sichuan, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1307086178755306467, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, authorId=1307086178616894432, language=CN, stringName=贺密, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=四川省自然资源勘察设计集团生态环境有限公司,四川 成都 610051, bio={"content":"
贺密(1990−),女,工程师,主要从事生态环境修复治理方面研究。E−mail:584371639@qq.com
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贺密(1990−),女,工程师,主要从事生态环境修复治理方面研究。E−mail:584371639@qq.com
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*, address=Sichuan Natural Resources Investigation and Design Group Ecological Environment Co., Ltd., Chengdu 610051,Sichuan, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1307086178998576104, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, authorId=1307086178822415333, language=CN, stringName=陈芯恺, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
*, address=四川省自然资源勘察设计集团生态环境有限公司,四川 成都 610051, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1307086178541396956, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, xref=null, ext=[AuthorCompanyExt(id=1307086178545591261, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, companyId=1307086178541396956, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Sichuan Natural Resources Investigation and Design Group Ecological Environment Co., Ltd., Chengdu 610051,Sichuan, China), AuthorCompanyExt(id=1307086178553979870, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, companyId=1307086178541396956, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=四川省自然资源勘察设计集团生态环境有限公司,四川 成都 610051)])])], keywords=[Keyword(id=1307086179090850793, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, orderNo=1, keyword=Loess Plateau), Keyword(id=1307086179166348266, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, orderNo=2, keyword=seasonal frozen soil), Keyword(id=1307086179338314731, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, orderNo=3, keyword=collapsible loess), Keyword(id=1307086179397034988, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, orderNo=4, keyword=freeze–thaw cycles), Keyword(id=1307086179485115373, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, orderNo=5, keyword=soil-water characteristic curve), Keyword(id=1307086179569001454, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, orderNo=1, keyword=黄土高原), Keyword(id=1307086179644498927, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, orderNo=2, keyword=季节性冻土), Keyword(id=1307086179753550832, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, orderNo=3, keyword=湿陷性黄土), Keyword(id=1307086179812271089, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, orderNo=4, keyword=冻融循环), Keyword(id=1307086179875185651, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, orderNo=5, keyword=土水特征曲线)], refs=[Reference(id=1307086183159324678, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, doi=null, pmid=null, pmcid=null, year=2019, volume=45, issue=3, pageStart=118, pageEnd=125, url=null, language=null, rfNumber=1, rfOrder=0, authorNames=null, journalName=兰州理工大学学报, refType=null, unstructuredReference=丑亚玲, 张庆海, 郏书胜. 基于冻融 - 干湿作用的非饱和重塑黄土强度试验[J].
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Particle-size distribution curves of intact loess in different regions, figureFileSmall=J524WsWbRIIGfhnejXP/PA==, figureFileBig=sqiEJTP4ipIzgQL4Z0oceg==, tableContent=null), ArticleFig(id=1307086180051346421, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图1, caption=
不同区域原状黄土粒度分布曲线图, figureFileSmall=J524WsWbRIIGfhnejXP/PA==, figureFileBig=sqiEJTP4ipIzgQL4Z0oceg==, tableContent=null), ArticleFig(id=1307086180273644534, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Fig.2, caption=
Liquid limit-plasticity index distribution of intact loess from different regions, figureFileSmall=IYneNKh6/TTr0v6cx4w1CA==, figureFileBig=A+UYtdNcdasjCHZVDU17FA==, tableContent=null), ArticleFig(id=1307086180344947703, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图2, caption=
不同区域原状黄土液限–塑性指数分布图CH. 高液限粘质土;CL. 低液限粘质土;MH. 高液限粉质土;ML. 低塑限粉质土;CHO. 含有机质的高液限粘质土;MHO. 含有机质的高液限粉质土;MLO. 含有机质的低液限粉质土
, figureFileSmall=IYneNKh6/TTr0v6cx4w1CA==, figureFileBig=A+UYtdNcdasjCHZVDU17FA==, tableContent=null), ArticleFig(id=1307086180407862264, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Fig.3, caption=
SWCC diagrams of Loess in various regions under the impact of freeze-thaw cycles, figureFileSmall=vbQimesAIFRhHtoCMQMCbg==, figureFileBig=HUsvW26kOaYOWOofWiV2ug==, tableContent=null), ArticleFig(id=1307086180470776825, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图3, caption=
冻融次数影响下不同区域黄土的土水特征曲线图, figureFileSmall=vbQimesAIFRhHtoCMQMCbg==, figureFileBig=HUsvW26kOaYOWOofWiV2ug==, tableContent=null), ArticleFig(id=1307086180563051515, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Fig.4, caption=
Heatmaps of the fitted FX model parameters for loess from different regions under different freeze-thaw conditions, figureFileSmall=ozftJrhBZnIVfFmSOFHMSA==, figureFileBig=je1W9Yv7OCbjX6vKgVXDiw==, tableContent=null), ArticleFig(id=1307086180638548988, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图4, caption=
不同区域黄土在不同冻融条件下 FX模型拟合参数热图, figureFileSmall=ozftJrhBZnIVfFmSOFHMSA==, figureFileBig=je1W9Yv7OCbjX6vKgVXDiw==, tableContent=null), ArticleFig(id=1307086180714046461, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Fig.5, caption=
Comparative heatmaps of the effects of freeze–thaw cycle number on the FX model parameters, figureFileSmall=9X3g3D8f9Nqeytsz2dfpdA==, figureFileBig=aYPhG5T0aZ6Vg6noA/zhjg==, tableContent=null), ArticleFig(id=1307086180789543934, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图5, caption=
冻融循环次数对FX模型参数影响对比热图, figureFileSmall=9X3g3D8f9Nqeytsz2dfpdA==, figureFileBig=aYPhG5T0aZ6Vg6noA/zhjg==, tableContent=null), ArticleFig(id=1307086182463071231, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Fig.6, caption=
Response mechanism of soil-water characteristic curves of collapsible loess from different regions under freeze–thaw cycles, figureFileSmall=58zFl+UMxIhrRFI90qc76A==, figureFileBig=jvtGZ4fuiUamC6P77FnpmQ==, tableContent=null), ArticleFig(id=1307086182559540224, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=图6, caption=
冻融循环作用下不同区域湿陷性黄土土水特征曲线响应机制, figureFileSmall=58zFl+UMxIhrRFI90qc76A==, figureFileBig=jvtGZ4fuiUamC6P77FnpmQ==, tableContent=null), ArticleFig(id=1307086182643425280, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Tab.1, caption=
Physical properties of intact loess in different regions
, figureFileSmall=null, figureFileBig=null, tableContent=
| 地区 | 比重 Gs | 饱和含 水率ωn (%) | 干密度ρd (g·cm−3) | 液限ωL (%) | 塑限ωP (%) | 孔隙比 |
| 泾阳 | 2.530 | 41.210 | 1.2386 | 31.44 | 18.83 | 1.043 |
| 宁夏 | 2.643 | 29.215 | 1.4913 | 19.25 | 11.81 | 0.772 |
| 山西 | 2.721 | 35.280 | 1.3882 | 31.96 | 16.78 | 0.960 |
), ArticleFig(id=1307086182735699969, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=表1, caption=
不同区域原状黄土的物理性质
, figureFileSmall=null, figureFileBig=null, tableContent=
| 地区 | 比重 Gs | 饱和含 水率ωn (%) | 干密度ρd (g·cm−3) | 液限ωL (%) | 塑限ωP (%) | 孔隙比 |
| 泾阳 | 2.530 | 41.210 | 1.2386 | 31.44 | 18.83 | 1.043 |
| 宁夏 | 2.643 | 29.215 | 1.4913 | 19.25 | 11.81 | 0.772 |
| 山西 | 2.721 | 35.280 | 1.3882 | 31.96 | 16.78 | 0.960 |
), ArticleFig(id=1307086182807003138, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Tab.2, caption=
Setting of moisture content and freezing-thawing cycles
, figureFileSmall=null, figureFileBig=null, tableContent=
| 冻融含水率 | 冻融循环次数 | 泾阳土样 | 宁夏土样 | 山西土样 |
| <Wp | 0 | √ | √ | √ |
| 1 | √ | √ | √ |
| 2 | √ | | |
| 3 | √ | | |
| 4 | √ | √ | √ |
| 5 | √ | | |
| 6 | √ | √ | √ |
| Wp | 1 | √ | √ | √ |
| 4 | √ | √ | √ |
| 6 | √ | √ | √ |
| >Wp | 1 | √ | √ | √ |
| 4 | √ | √ | √ |
| 6 | √ | √ | √ |
), ArticleFig(id=1307086182882500611, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=表2, caption=
含水率和冻融循环次数的设置
, figureFileSmall=null, figureFileBig=null, tableContent=
| 冻融含水率 | 冻融循环次数 | 泾阳土样 | 宁夏土样 | 山西土样 |
| <Wp | 0 | √ | √ | √ |
| 1 | √ | √ | √ |
| 2 | √ | | |
| 3 | √ | | |
| 4 | √ | √ | √ |
| 5 | √ | | |
| 6 | √ | √ | √ |
| Wp | 1 | √ | √ | √ |
| 4 | √ | √ | √ |
| 6 | √ | √ | √ |
| >Wp | 1 | √ | √ | √ |
| 4 | √ | √ | √ |
| 6 | √ | √ | √ |
), ArticleFig(id=1307086182974775300, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=EN, label=Tab.3, caption=
Fitted FX model parameters of loess from different regions under different freeze-thaw conditions
, figureFileSmall=null, figureFileBig=null, tableContent=
| 区域 | 工况 | a | b | c | R2 |
| 泾阳 | <Wp, 1次 | 75.177 | 0.834 | 1.756 | 0.996 |
| =Wp, 1次 | 30.088 | 1.226 | 0.895 | 0.999 |
| >Wp, 1次 | 31.062 | 0.733 | 0.956 | 0.998 |
| <Wp, 4次 | 22.123 | 1.236 | 0.829 | 0.997 |
| =Wp, 4次 | 361.662 | 0.477 | 3.142 | 0.997 |
| >Wp, 4次 | 35.772 | 0.745 | 0.950 | 0.995 |
| <Wp, 6次 | 32.952 | 0.826 | 0.997 | 0.992 |
| =Wp, 6次 | 64.703 | 0.393 | 1.093 | 0.986 |
| >Wp, 6次 | 26.656 | 0.988 | 0.838 | 0.996 |
| 宁夏 | <Wp, 1次 | 5040.296 | 0.733 | 5.000 | 0.936 |
| =Wp, 1次 | 247.795 | 0.592 | 3.233 | 0.998 |
| >Wp, 1次 | 23.547 | 1.790 | 0.754 | 0.998 |
| <Wp, 4次 | 34.095 | 1.673 | 0.346 | 0.980 |
| =Wp, 4次 | 47.611 | 0.858 | 1.420 | 0.996 |
| >Wp, 4次 | 20.367 | 0.905 | 0.838 | 0.984 |
| <Wp, 6次 | 4757.666 | 0.359 | 4.025 | 0.993 |
| =Wp, 6次 | 20.269 | 1.722 | 0.790 | 0.998 |
| >Wp, 6次 | 65.008 | 0.810 | 0.566 | 0.993 |
| 山西 | <Wp, 1次 | 14.111 | 2.755 | 0.386 | 0.990 |
| =Wp, 1次 | 8.406 | 1.768 | 0.513 | 0.998 |
| >Wp, 1次 | 11.920 | 1.757 | 0.567 | 0.999 |
| <Wp, 4次 | 12.354 | 1.335 | 0.574 | 0.993 |
| =Wp, 4次 | 12.041 | 2.349 | 0.405 | 0.996 |
| >Wp, 4次 | 14.221 | 2.054 | 0.424 | 0.998 |
| <Wp, 6次 | 7.405 | 1.096 | 0.414 | 0.995 |
| =Wp, 6次 | 10.450 | 1.690 | 0.496 | 0.997 |
| >Wp, 6次 | 17.476 | 1.706 | 0.447 | 0.998 |
), ArticleFig(id=1307086183058661381, tenantId=1146029695717560320, journalId=1306274195778404443, articleId=1307086175055930315, language=CN, label=表3, caption=
不同区域黄土不同冻融条件下的 FX模型拟合参数
, figureFileSmall=null, figureFileBig=null, tableContent=
| 区域 | 工况 | a | b | c | R2 |
| 泾阳 | <Wp, 1次 | 75.177 | 0.834 | 1.756 | 0.996 |
| =Wp, 1次 | 30.088 | 1.226 | 0.895 | 0.999 |
| >Wp, 1次 | 31.062 | 0.733 | 0.956 | 0.998 |
| <Wp, 4次 | 22.123 | 1.236 | 0.829 | 0.997 |
| =Wp, 4次 | 361.662 | 0.477 | 3.142 | 0.997 |
| >Wp, 4次 | 35.772 | 0.745 | 0.950 | 0.995 |
| <Wp, 6次 | 32.952 | 0.826 | 0.997 | 0.992 |
| =Wp, 6次 | 64.703 | 0.393 | 1.093 | 0.986 |
| >Wp, 6次 | 26.656 | 0.988 | 0.838 | 0.996 |
| 宁夏 | <Wp, 1次 | 5040.296 | 0.733 | 5.000 | 0.936 |
| =Wp, 1次 | 247.795 | 0.592 | 3.233 | 0.998 |
| >Wp, 1次 | 23.547 | 1.790 | 0.754 | 0.998 |
| <Wp, 4次 | 34.095 | 1.673 | 0.346 | 0.980 |
| =Wp, 4次 | 47.611 | 0.858 | 1.420 | 0.996 |
| >Wp, 4次 | 20.367 | 0.905 | 0.838 | 0.984 |
| <Wp, 6次 | 4757.666 | 0.359 | 4.025 | 0.993 |
| =Wp, 6次 | 20.269 | 1.722 | 0.790 | 0.998 |
| >Wp, 6次 | 65.008 | 0.810 | 0.566 | 0.993 |
| 山西 | <Wp, 1次 | 14.111 | 2.755 | 0.386 | 0.990 |
| =Wp, 1次 | 8.406 | 1.768 | 0.513 | 0.998 |
| >Wp, 1次 | 11.920 | 1.757 | 0.567 | 0.999 |
| <Wp, 4次 | 12.354 | 1.335 | 0.574 | 0.993 |
| =Wp, 4次 | 12.041 | 2.349 | 0.405 | 0.996 |
| >Wp, 4次 | 14.221 | 2.054 | 0.424 | 0.998 |
| <Wp, 6次 | 7.405 | 1.096 | 0.414 | 0.995 |
| =Wp, 6次 | 10.450 | 1.690 | 0.496 | 0.997 |
| >Wp, 6次 | 17.476 | 1.706 | 0.447 | 0.998 |
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