Article(id=1322940533060018739, tenantId=1146029695717560320, journalId=1281212831689347082, issueId=1322940449979244751, articleNumber=null, orderNo=null, doi=10.14075/j.jgg.2024.04.203, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1714320000000, receivedDateStr=2024-04-29, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793343202128, onlineDateStr=2026-10-30, pubDate=1741968000000, pubDateStr=2025-03-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793343202128, onlineIssueDateStr=2026-10-30, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793343202128, creator=13701087609, updateTime=1793343202128, updator=13701087609, issue=Issue{id=1322940449979244751, tenantId=1146029695717560320, journalId=1281212831689347082, year='2025', volume='45', issue='3', pageStart='221', pageEnd='330', issueExtLink='null', onlineDate='null', pubDate='1741968000000', pubDateStr='2025-03-15', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793343182320, creator='13701087609', updateTime=1793343182320, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=260, endPage=265, ext={EN=ArticleExt(id=1322940533240373812, articleId=1322940533060018739, tenantId=1146029695717560320, journalId=1281212831689347082, language=EN, title=Research on Magnitude Estimation Model Using
Pd Method in Beijing-Tianjin-Hebei Region, columnId=null, journalTitle=Journal of Geodesy and Geodynamics, columnName=null, runingTitle=null, highlight=null, articleAbstract=
Based on 963 records of intensity meters and 410 records of strong motion seismographs of 37 earthquakes of ML3.2 to 5.9 in Beijing-Tianjin-Hebei and its surrounding areas from 2019 to 2022, we use the Pd method to establish 36 magnitude estimation models between Pd amplitude within 2 to 7 seconds after P-wave arrival time of vertical waveform and magnitude. By fitting the standard deviation, the optimal filtering frequency bands of intensity meters and strong motion seismographs are determined to be 1 to 3 Hz and 0.5 to 3 Hz respectively. Meanwhile, we establish the magnitude estimation model of intensity meters and strong motion seismographs within 3 seconds after P-wave arrival time using Pd method. The parameter fitting results show that fitting slope and correlation coefficient are high, the standard deviation is small, and the overall reliability is high. The results of reverse and new data verification indicate that the magnitude deviation of Pd method is mainly within ±0.5, which shows that the two models established in this paper are reasonable and can be well applied in Beijing-Tianjin-Hebei region.
, authors=Lichan WANG
1, 2, Guoliang MAO
1, 2, Yaojia GUO
1, 2, Qingxi LIN
3, authorsList=Lichan WANG, Guoliang MAO, Yaojia GUO, Qingxi LIN, authorCompany=null, correspAuthors=null, authorNote=
WANG Lichan, senior engineer, majors in earthquake monitoring and early warning, E-mail: wlc84872583@163.com
, correspAuthorsNote=null, copyrightStatement=
All rights reserved. Unauthorized reproduction is prohibited., 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=1322940536725840449, articleId=1322940533060018739, tenantId=1146029695717560320, journalId=1281212831689347082, language=CN, title=京津冀地区
Pd方法震级估算模型研究, columnId=1322506193558422163, journalTitle=大地测量与地球动力学, columnName=地震地质, runingTitle=null, highlight=null, articleAbstract=
基于2019—2022年京津冀及周边地区37次ML3.2~5.9地震的963个烈度计和410个强震仪台站数据,利用Pd方法建立垂直向波形在P波到时后2~7 s的Pd幅值与震级之间的36种估算模型,通过拟合关系标准差确定烈度计和强震仪的最佳滤波频段分别为1~3 Hz和0.5~3 Hz,同时建立二者在P波到时后3 s内的Pd方法震级估算模型。参数拟合结果表明,模型拟合斜率和相关系数较高,标准差较小,模型整体可靠度较高。反向验证和新数据验证结果显示,与台网编目震级相比,单台Pd方法震级偏差主要集中在±0.5范围内,说明本文建立的2种Pd方法震级估算模型具有可行性,可以较好地应用于京津冀地区。
, authors=王莉婵
1, 2, 毛国良
1, 2, 郭垚嘉
1, 2, 林庆西
3, authorsList=王莉婵, 毛国良, 郭垚嘉, 林庆西, authorCompany=null, correspAuthors=null, authorNote=
, correspAuthorsNote=null, copyrightStatement=
版权所有,未经授权,不得转载。, copyrightOwner=大地测量与地球动力学编辑部, extLink=null, articleAbsUrl=null, sourceXml=IpsmoRFtQpnc+vl2ysgP8w==, magXml=5w+Ip5cQ5PQs/KVFTryp/Q==, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=FRx1g2iMDiVECsRjHvONYQ==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=+OJEVqA4c6h09dFjHTwz6Q==, mapNumber=null, fund=null)}, authors=[Author(id=1322940537732473421, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=wlc84872583@163.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322940537858302544, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, authorId=1322940537732473421, language=EN, stringName=Lichan WANG, firstName=Lichan, middleName=null, lastName=WANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=
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Pd方法), Keyword(id=1322940542337819243, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, orderNo=4, keyword=震级估算模型)], refs=[Reference(id=1322940548549583489, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=1, rfOrder=0, authorNames=null, journalName=null, refType=null, unstructuredReference=宋晋东. 高速铁路运行控制用地震动参数及单台地震预警技术研究[D]. 哈尔滨: 中国地震局工程力学研究所, 2013, articleTitle=null, refAbstract=null), Reference(id=1322940548641858178, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=1, rfOrder=1, authorNames=null, journalName=null, refType=null, unstructuredReference=Song Jindong. Research on Seismic Ground Motion Indices for Operation Control and Single Station Earthquake Early Warning Applied for High-Speed Railway[D]. Harbin: Institute of Engineering Mechanics, CEA, 2013, articleTitle=null, refAbstract=null), Reference(id=1322940549019345539, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, doi=10.6038/j.issn.1004-2903.2012.02.009, pmid=null, pmcid=null, year=2012, volume=27, issue=2, pageStart=464, pageEnd=474, url=null, language=null, rfNumber=2, rfOrder=2, authorNames=张红才, 金星, 李军, journalName=地球物理学进展, refType=null, unstructuredReference=张红才, 金星, 李军,
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Distribution of epicenters, figureFileSmall=eXU9lHRVvK9Abj4c+HWomg==, figureFileBig=FRx1g2iMDiVECsRjHvONYQ==, tableContent=null), ArticleFig(id=1322940543554167405, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, label=图1, caption=
震中分布, figureFileSmall=eXU9lHRVvK9Abj4c+HWomg==, figureFileBig=FRx1g2iMDiVECsRjHvONYQ==, tableContent=null), ArticleFig(id=1322940544804069998, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=EN, label=Fig. 2, caption=
Displacement modulus after waveform filtering, figureFileSmall=O+vVnKyYtYdsLh5nOnFEDg==, figureFileBig=TRF52HMceclJUavo/yXcDw==, tableContent=null), ArticleFig(id=1322940544892150383, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, label=图2, caption=
波形滤波后位移模量曲线, figureFileSmall=O+vVnKyYtYdsLh5nOnFEDg==, figureFileBig=TRF52HMceclJUavo/yXcDw==, tableContent=null), ArticleFig(id=1322940545265443440, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=EN, label=Fig. 3, caption=
Histogram of fitting standard deviation and deviation of 36 estimation models of intensity meters and strong motion seismographs, figureFileSmall=0IgtJPN+MdoQ72T5rIq5Lw==, figureFileBig=lXIAEwZ6RDosjcCJcPDMZg==, tableContent=null), ArticleFig(id=1322940545340940913, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, label=图3, caption=
烈度计与强震仪36种估算模型的拟合标准差和偏差标准差柱状图, figureFileSmall=0IgtJPN+MdoQ72T5rIq5Lw==, figureFileBig=lXIAEwZ6RDosjcCJcPDMZg==, tableContent=null), ArticleFig(id=1322940545580016242, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=EN, label=Fig. 4, caption=
The best regression model of intensity meters and strong motion seismographs, figureFileSmall=mvp1obayX5kyRiKjB/4mtA==, figureFileBig=05CAfWydV8ClQ8kJbDIU8Q==, tableContent=null), ArticleFig(id=1322940545680679539, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, label=图4, caption=
烈度计与强震仪最优回归模型, figureFileSmall=mvp1obayX5kyRiKjB/4mtA==, figureFileBig=05CAfWydV8ClQ8kJbDIU8Q==, tableContent=null), ArticleFig(id=1322940546024612468, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=EN, label=Tab. 1, caption=
Comparison with previous research results
, figureFileSmall=null, figureFileBig=null, tableContent=
| 序号 | 区域 | 震级范围 | 震源距范围/km | 地震条数/台站记录数 | P波到时后时间/s | 地震计类型 | 拟合斜率 | 相关系数 | 标准差 |
| 1 | 京津冀地区 | ML3.2~5.9 | 0~60 | 37/963 | 2~7 | 烈度计 | 0.65~0.74 | 0.72~0.82 | 0.26~0.30 |
| 2 | 京津冀地区 | ML3.2~5.9 | 0~60 | 37/410 | 2~7 | 强震仪 | 0.87~0.90 | 0.62~0.73 | 0.29~0.37 |
| 3 | 鲁甸地区[3] | M≥3.0 | 0~300 | 11/64 | 1~3 | 强震仪 | 0.50~1.17 | 0.57~0.74 | 0.84~0.98 |
| 4 | 芦山地区[4] | M4.0~7.0 | 20~200 | -/211 | 1~3 | 强震仪 | 0.32~1.05 | 0.25~0.64 | 1.14~1.30 |
| 5 | 云南地区[5] | M≥3.5 | 0~200 | -/133 | 2~4 | 强震仪 | 0.60~0.67 | 0.65~0.83 | / |
| 6 | 四川地区[6] | M≥4.0 | 20~100 | -/937 | 2~4 | 强震仪 | 0.25~0.51 | 0.65~0.82 | / |
| 7 | 汶川地区[10] | M4.0~8.0 | 0~60 | 218/687 | 2、4 | 强震仪 | 0.67~0.68 | / | 0.37 |
| 8 | 甘肃及邻区[11] | M3.1~6.5 | 0~100 | 190/821 | 1~5、7、10 | 速度计 | 0.68~0.71 | / | 0.29~0.34 |
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与前人研究结果对比
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| 序号 | 区域 | 震级范围 | 震源距范围/km | 地震条数/台站记录数 | P波到时后时间/s | 地震计类型 | 拟合斜率 | 相关系数 | 标准差 |
| 1 | 京津冀地区 | ML3.2~5.9 | 0~60 | 37/963 | 2~7 | 烈度计 | 0.65~0.74 | 0.72~0.82 | 0.26~0.30 |
| 2 | 京津冀地区 | ML3.2~5.9 | 0~60 | 37/410 | 2~7 | 强震仪 | 0.87~0.90 | 0.62~0.73 | 0.29~0.37 |
| 3 | 鲁甸地区[3] | M≥3.0 | 0~300 | 11/64 | 1~3 | 强震仪 | 0.50~1.17 | 0.57~0.74 | 0.84~0.98 |
| 4 | 芦山地区[4] | M4.0~7.0 | 20~200 | -/211 | 1~3 | 强震仪 | 0.32~1.05 | 0.25~0.64 | 1.14~1.30 |
| 5 | 云南地区[5] | M≥3.5 | 0~200 | -/133 | 2~4 | 强震仪 | 0.60~0.67 | 0.65~0.83 | / |
| 6 | 四川地区[6] | M≥4.0 | 20~100 | -/937 | 2~4 | 强震仪 | 0.25~0.51 | 0.65~0.82 | / |
| 7 | 汶川地区[10] | M4.0~8.0 | 0~60 | 218/687 | 2、4 | 强震仪 | 0.67~0.68 | / | 0.37 |
| 8 | 甘肃及邻区[11] | M3.1~6.5 | 0~100 | 190/821 | 1~5、7、10 | 速度计 | 0.68~0.71 | / | 0.29~0.34 |
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Statistics on magnitude deviation of single station
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| 震级偏差范围 | [-1.5, -1.0) | [-1.0, -0.5) | [-0.5, 0) | 0 | (0, 0.5] | (0.5, 1.0] | (1.0, 1.5] | 标准偏差 |
| 烈度计台站数 | 8 | 104 | 363 | 9 | 378 | 95 | 6 | 0.42 |
| 强震仪台站数 | 4 | 34 | 152 | 9 | 179 | 29 | 3 | 0.41 |
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单台震级偏差统计
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| 震级偏差范围 | [-1.5, -1.0) | [-1.0, -0.5) | [-0.5, 0) | 0 | (0, 0.5] | (0.5, 1.0] | (1.0, 1.5] | 标准偏差 |
| 烈度计台站数 | 8 | 104 | 363 | 9 | 378 | 95 | 6 | 0.42 |
| 强震仪台站数 | 4 | 34 | 152 | 9 | 179 | 29 | 3 | 0.41 |
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Segmental statistics on magnitude deviation of intensity meters and strong motion seismographs
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| 震级范围 | 震级偏差 | 烈度计 | | 强震仪 |
| 个数 | 平均偏差 | 个数 | 平均偏差 |
| [3.2, 4.0) | <0 | 229 | -0.283 6 | | 146 | -0.328 0 |
| ≥0 | 239 | 0.324 7 | 163 | 0.283 2 |
| [4.0, 5.0) | <0 | 188 | -0.414 3 | 40 | -0.274 4 |
| ≥0 | 164 | 0.374 7 | 45 | 0.278 8 |
| [5.0, 6.0) | <0 | 60 | -0.318 1 | 6 | -0.356 7 |
| ≥0 | 83 | 0.282 7 | 10 | 0.247 4 |
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烈度计与强震仪震级偏差分段统计结果
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| 震级范围 | 震级偏差 | 烈度计 | | 强震仪 |
| 个数 | 平均偏差 | 个数 | 平均偏差 |
| [3.2, 4.0) | <0 | 229 | -0.283 6 | | 146 | -0.328 0 |
| ≥0 | 239 | 0.324 7 | 163 | 0.283 2 |
| [4.0, 5.0) | <0 | 188 | -0.414 3 | 40 | -0.274 4 |
| ≥0 | 164 | 0.374 7 | 45 | 0.278 8 |
| [5.0, 6.0) | <0 | 60 | -0.318 1 | 6 | -0.356 7 |
| ≥0 | 83 | 0.282 7 | 10 | 0.247 4 |
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Validation results of the model
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| 序号 | 日期 | 震级ML | 参考地名 | 烈度计 | | 强震仪 |
| Pd平均震级 | 使用台站数量 | 震级偏差 | Pd平均震级 | 使用台站数量 | 震级偏差 |
| 1 | 2023-01-24 | 3.3 | 河北磁县 | 3.08 | 18 | -0.22 | | 3.11 | 6 | -0.19 |
| 2 | 2023-01-30 | 3.2 | 河北蠡县 | 3.10 | 17 | -0.10 | 3.17 | 12 | -0.03 |
| 3 | 2023-02-12 | 3.6 | 北京房山 | 3.41 | 15 | -0.19 | 3.24 | 38 | -0.14 |
| 4 | 2023-03-25 | 3.9 | 河北临城 | 3.74 | 34 | -0.16 | 3.79 | 7 | -0.11 |
| 5 | 2023-04-05 | 3.7 | 河北灵寿 | 3.48 | 54 | -0.22 | 3.29 | 8 | -0.41 |
| 6 | 2023-07-31 | 3.4 | 河北张北 | 3.15 | 10 | -0.25 | 3.34 | 11 | -0.06 |
| 7 | 2023-08-06 | 3.7 | 山东平原 | 3.80 | 13 | 0.10 | 3.55 | 9 | -0.15 |
| 8 | 2023-09-01 | 3.4 | 北京昌平 | 3.49 | 19 | 0.09 | 3.42 | 69 | 0.02 |
), ArticleFig(id=1322940547400344188, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940533060018739, language=CN, label=表4, caption=
模型验证结果
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| 序号 | 日期 | 震级ML | 参考地名 | 烈度计 | | 强震仪 |
| Pd平均震级 | 使用台站数量 | 震级偏差 | Pd平均震级 | 使用台站数量 | 震级偏差 |
| 1 | 2023-01-24 | 3.3 | 河北磁县 | 3.08 | 18 | -0.22 | | 3.11 | 6 | -0.19 |
| 2 | 2023-01-30 | 3.2 | 河北蠡县 | 3.10 | 17 | -0.10 | 3.17 | 12 | -0.03 |
| 3 | 2023-02-12 | 3.6 | 北京房山 | 3.41 | 15 | -0.19 | 3.24 | 38 | -0.14 |
| 4 | 2023-03-25 | 3.9 | 河北临城 | 3.74 | 34 | -0.16 | 3.79 | 7 | -0.11 |
| 5 | 2023-04-05 | 3.7 | 河北灵寿 | 3.48 | 54 | -0.22 | 3.29 | 8 | -0.41 |
| 6 | 2023-07-31 | 3.4 | 河北张北 | 3.15 | 10 | -0.25 | 3.34 | 11 | -0.06 |
| 7 | 2023-08-06 | 3.7 | 山东平原 | 3.80 | 13 | 0.10 | 3.55 | 9 | -0.15 |
| 8 | 2023-09-01 | 3.4 | 北京昌平 | 3.49 | 19 | 0.09 | 3.42 | 69 | 0.02 |
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