Article(id=1322940553222038169, tenantId=1146029695717560320, journalId=1281212831689347082, issueId=1322940449979244751, articleNumber=null, orderNo=null, doi=10.14075/j.jgg.2024.04.183, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1713369600000, receivedDateStr=2024-04-18, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793343206934, onlineDateStr=2026-10-30, pubDate=1741968000000, pubDateStr=2025-03-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793343206934, onlineIssueDateStr=2026-10-30, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793343206934, creator=13701087609, updateTime=1793343206934, 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=266, endPage=272, ext={EN=ArticleExt(id=1322940553385616026, articleId=1322940553222038169, tenantId=1146029695717560320, journalId=1281212831689347082, language=EN, title=Study on Local Magnitude Deviations in Fujian, columnId=null, journalTitle=Journal of Geodesy and Geodynamics, columnName=null, runingTitle=null, highlight=null, articleAbstract=

Based on the catalogue data from Fujian digital seismic network, a total of 3 720 earthquakes that occurred in Fujian from 2010 to 2023 are selected to study the local magnitude (ML) deviations. The magnitude residual method is used to obtain a new calibration function (R3(Δ)), station correction values (Sj) and medium propagation direction correction values (Sθ) which are applicable to Fujian, enhancing the accuracy of local magnitude measurement. The results indicate that standard deviation of magnitude deviations decreases from 0.29 to 0.19 after correction. In order to improve the accuracy of earthquake warning magnitude measurement, we apply the first station's magnitude, resulting in the standard deviation of magnitude deviations decreases from 0.31 to 0.25. It is evident that the new calibration function, station correction values and medium propagation direction correction values exhibit strong practicality in Fujian.

, authors=Yang GUO1, Jun LI1, Xing JIN1, Binhua LIN1, Huiteng CAI1, *, authorsList=Yang GUO, Jun LI, Xing JIN, Binhua LIN, Huiteng CAI, authorCompany=null, correspAuthors=Huiteng CAI, authorNote=

GUO Yang, engineer, majors in seismology and earthquake engineering, E-mail:

, 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=1322940556929802927, articleId=1322940553222038169, tenantId=1146029695717560320, journalId=1281212831689347082, language=CN, title=福建地区近震震级偏差研究, columnId=1322506193558422163, journalTitle=大地测量与地球动力学, columnName=地震地质, runingTitle=null, highlight=null, articleAbstract=

基于福建数字地震台网编目资料,选取2010—2023年发生在福建地区的3 720次地震,研究福建地区近震震级ML偏差,采用震级残差法获得适用于福建地区的量规函数R3(Δ)、台站校正值Sj和介质传播方向校正值Sθ,以提高近震震级精度。结果表明,校正后的震级偏差标准差从0.29降至0.19;为提高预警震级的准确性,应用首台震级测定,震级偏差标准差从0.31降至0.25。由此可见,新修订的量规函数、台站校正值和介质传播方向校正值在福建地区具有较强的适用性。

, authors=郭阳1, 李军1, 金星1, 林彬华1, 蔡辉腾1, *, authorsList=郭阳, 李军, 金星, 林彬华, 蔡辉腾, authorCompany=null, correspAuthors=蔡辉腾, authorNote=

郭阳,工程师,主要从事地震学和地震工程学研究,E-mail:

, correspAuthorsNote=

蔡辉腾,研究员,主要从事地震工程学和地震灾害风险防治研究,E-mail:

CAI Huiteng, researcher, majors in earthquake engineering and earthquake disaster risk prevention and control, E-mail:

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GUO Yang, engineer, majors in seismology and earthquake engineering, E-mail:

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郭阳,工程师,主要从事地震学和地震工程学研究,E-mail:

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郭阳,工程师,主要从事地震学和地震工程学研究,E-mail:

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articleId=1322940553222038169, language=EN, label=Tab. 1, caption=

Segmental statistical results of mean magnitude deviations

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震中距/km 样本数/个 平均震级偏差 震中距/km 样本数/个 平均震级偏差 震中距/km 样本数/个 平均震级偏差
0~5 584 -0.010 100~110 3 771 0.103 300~310 71 0.082
5~10 545 -0.064 110~120 2 376 0.085 310~320 61 0.089
10~15 541 -0.232 120~130 1 936 0.057 320~330 37 0.081
15~20 1 079 -0.270 130~140 1 622 0.057 330~340 37 0.170
20~25 1 000 -0.393 140~150 2 182 0.083 340~350 22 0.136
25~30 1 090 -0.303 150~160 1 222 0.057 350~360 41 0.171
30~35 1 923 -0.199 160~170 1 335 0.108 360~370 21 0.205
35~40 1 946 -0.121 170~180 1 392 0.147 370~380 16 0.100
40~45 2 380 -0.195 180~190 900 0.118 380~390 5 0.080
45~50 1 751 -0.153 190~200 1 057 0.111 390~400 5 0.160
50~55 1 826 -0.143 200~210 737 0.155 400~410 8 0.263
55~60 2 810 -0.070 210~220 771 0.168 410~420 3 0.200
60~65 2 781 -0.019 220~230 676 0.133 420~430 2 0.750
65~70 1 864 0.054 230~240 588 0.154 430~440 0 0.000
70~75 3 348 0.070 240~250 457 0.031 440~450 2 0.400
75~80 4 149 0.081 250~260 394 0.050 450~460 1 0.200
80~85 3 025 0.024 260~270 198 0.092 460~470 4 0.200
85~90 3 150 0.043 270~280 131 0.061 470~480 2 0.100
90~95 1 503 0.067 280~290 135 0.054 480~490 0 0.000
95~100 1 945 0.050 290~300 117 0.109 490~500 4 0.100
), ArticleFig(id=1322940570414490349, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=CN, label=表1, caption=

平均震级偏差分段统计结果

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震中距/km 样本数/个 平均震级偏差 震中距/km 样本数/个 平均震级偏差 震中距/km 样本数/个 平均震级偏差
0~5 584 -0.010 100~110 3 771 0.103 300~310 71 0.082
5~10 545 -0.064 110~120 2 376 0.085 310~320 61 0.089
10~15 541 -0.232 120~130 1 936 0.057 320~330 37 0.081
15~20 1 079 -0.270 130~140 1 622 0.057 330~340 37 0.170
20~25 1 000 -0.393 140~150 2 182 0.083 340~350 22 0.136
25~30 1 090 -0.303 150~160 1 222 0.057 350~360 41 0.171
30~35 1 923 -0.199 160~170 1 335 0.108 360~370 21 0.205
35~40 1 946 -0.121 170~180 1 392 0.147 370~380 16 0.100
40~45 2 380 -0.195 180~190 900 0.118 380~390 5 0.080
45~50 1 751 -0.153 190~200 1 057 0.111 390~400 5 0.160
50~55 1 826 -0.143 200~210 737 0.155 400~410 8 0.263
55~60 2 810 -0.070 210~220 771 0.168 410~420 3 0.200
60~65 2 781 -0.019 220~230 676 0.133 420~430 2 0.750
65~70 1 864 0.054 230~240 588 0.154 430~440 0 0.000
70~75 3 348 0.070 240~250 457 0.031 440~450 2 0.400
75~80 4 149 0.081 250~260 394 0.050 450~460 1 0.200
80~85 3 025 0.024 260~270 198 0.092 460~470 4 0.200
85~90 3 150 0.043 270~280 131 0.061 470~480 2 0.100
90~95 1 503 0.067 280~290 135 0.054 480~490 0 0.000
95~100 1 945 0.050 290~300 117 0.109 490~500 4 0.100
), ArticleFig(id=1322940570502570734, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=EN, label=Tab. 2, caption=

New calibration Function R3(Δ)

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Δ/km R3(Δ) Δ/km R3(Δ) Δ/km R3(Δ) Δ/km R3(Δ)
0~5 1.81 55~60 3.27 120~130 3.54 230~240 3.95
5~10 1.96 60~65 3.22 130~140 3.54 240~250 4.07
10~15 2.23 65~70 3.15 140~150 3.62 250~260 4.05
15~20 2.37 70~75 3.23 150~160 3.64 260~270 4.11
20~25 2.69 75~80 3.22 160~170 3.69 270~280 4.14
25~30 2.80 80~85 3.28 170~180 3.65 280~290 4.25
30~35 2.90 85~90 3.36 180~190 3.78 290~300 4.19
35~40 2.92 90~95 3.33 190~200 3.79 300~310 4.32
40~45 3.10 95~100 3.35 200~210 3.85 310~320 4.31
45~50 3.15 100~110 3.40 210~220 3.83
50~55 3.24 110~120 3.41 220~230 3.97
), ArticleFig(id=1322940570783589103, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=CN, label=表2, caption=

新量规函数R3(Δ)

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Δ/km R3(Δ) Δ/km R3(Δ) Δ/km R3(Δ) Δ/km R3(Δ)
0~5 1.81 55~60 3.27 120~130 3.54 230~240 3.95
5~10 1.96 60~65 3.22 130~140 3.54 240~250 4.07
10~15 2.23 65~70 3.15 140~150 3.62 250~260 4.05
15~20 2.37 70~75 3.23 150~160 3.64 260~270 4.11
20~25 2.69 75~80 3.22 160~170 3.69 270~280 4.14
25~30 2.80 80~85 3.28 170~180 3.65 280~290 4.25
30~35 2.90 85~90 3.36 180~190 3.78 290~300 4.19
35~40 2.92 90~95 3.33 190~200 3.79 300~310 4.32
40~45 3.10 95~100 3.35 200~210 3.85 310~320 4.31
45~50 3.15 100~110 3.40 210~220 3.83
50~55 3.24 110~120 3.41 220~230 3.97
), ArticleFig(id=1322940570892641008, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=EN, label=Tab. 3, caption=

Station correction values

, figureFileSmall=null, figureFileBig=null, tableContent=
台站名称 Sj 台站名称 Sj 台站名称 Sj 台站名称 Sj 台站名称 Sj
安溪参内 -0.09 光泽鸾凤 -0.12 闽清雄江 0.14 上杭蓝溪 0.15 永安小陶 -0.06
安溪大坪 0.07 华安华丰 0.14 明溪雪峰 -0.06 上杭下都 0.07 永春石鼓 0.14
德化唐寨 0.09 惠安净峰 -0.29 南靖金山 -0.13 寿宁清源 -0.06 永定抚市 0.08
东山西埔 -0.12 晋江金井 -0.11 南平东坑 0.08 邵武丹台 -0.06 永定仙师 -0.07
大田均溪 0.16 将乐南口 -0.19 南平樟湖 0.16 松溪旧县 0.24 永泰富泉 -0.23
福安城阳 0.09 建瓯建安 0.14 浦城官路 0.24 泰宁杉城 0.15 永泰葛岭 0.11
福鼎贯岭 -0.08 连城姑田 0.15 平和山格 0.10 武平平川 0.18 永泰盖洋 0.12
福鼎秦屿 -0.10 连城莒溪 0.09 平潭澳前 -0.10 武平湘店 -0.06 尤溪坂面 -0.15
福清东张 0.06 连江苔菉 -0.19 莆田埭头 -0.07 武夷新丰 -0.14 诏安桥东 0.13
福州城门 -0.13 罗源鉴江 -0.13 莆田荔城 -0.14 厦门集美 0.07 政和南庄 0.12
福州琅岐 0.16 龙岩西陂 -0.19 莆田南日 0.23 厦门思明 0.05 漳浦六鳌 -0.11
福州日溪 -0.06 闽侯竹岐 0.11 平潭潭城 0.09 仙游石苍 -0.11 漳平象湖 0.30
古田水口 0.07 闽清东桥 -0.09 国家台 0.11 永安槐南 -0.58 漳平永福 0.17
古田玉田 0.19
), ArticleFig(id=1322940571194630897, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=CN, label=表3, caption=

台站校正值

, figureFileSmall=null, figureFileBig=null, tableContent=
台站名称 Sj 台站名称 Sj 台站名称 Sj 台站名称 Sj 台站名称 Sj
安溪参内 -0.09 光泽鸾凤 -0.12 闽清雄江 0.14 上杭蓝溪 0.15 永安小陶 -0.06
安溪大坪 0.07 华安华丰 0.14 明溪雪峰 -0.06 上杭下都 0.07 永春石鼓 0.14
德化唐寨 0.09 惠安净峰 -0.29 南靖金山 -0.13 寿宁清源 -0.06 永定抚市 0.08
东山西埔 -0.12 晋江金井 -0.11 南平东坑 0.08 邵武丹台 -0.06 永定仙师 -0.07
大田均溪 0.16 将乐南口 -0.19 南平樟湖 0.16 松溪旧县 0.24 永泰富泉 -0.23
福安城阳 0.09 建瓯建安 0.14 浦城官路 0.24 泰宁杉城 0.15 永泰葛岭 0.11
福鼎贯岭 -0.08 连城姑田 0.15 平和山格 0.10 武平平川 0.18 永泰盖洋 0.12
福鼎秦屿 -0.10 连城莒溪 0.09 平潭澳前 -0.10 武平湘店 -0.06 尤溪坂面 -0.15
福清东张 0.06 连江苔菉 -0.19 莆田埭头 -0.07 武夷新丰 -0.14 诏安桥东 0.13
福州城门 -0.13 罗源鉴江 -0.13 莆田荔城 -0.14 厦门集美 0.07 政和南庄 0.12
福州琅岐 0.16 龙岩西陂 -0.19 莆田南日 0.23 厦门思明 0.05 漳浦六鳌 -0.11
福州日溪 -0.06 闽侯竹岐 0.11 平潭潭城 0.09 仙游石苍 -0.11 漳平象湖 0.30
古田水口 0.07 闽清东桥 -0.09 国家台 0.11 永安槐南 -0.58 漳平永福 0.17
古田玉田 0.19
), ArticleFig(id=1322940572872352498, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=EN, label=Tab. 4, caption=

Medium propagation direction correction values of Xianyou earthquake group

, figureFileSmall=null, figureFileBig=null, tableContent=
台站名称 Sθ 台站名称 Sθ 台站名称 Sθ 台站名称 Sθ
安溪长坑 0.13 光泽鸾凤 -0.20 平和山格 -0.23 厦门思明 -0.17
安溪参内 0.06 晋江金井 0.06 平潭澳前 -0.24 霞浦三沙 -0.14
安溪大坪 -0.07 建宁濉溪 -0.22 莆田荔城 -0.07 永安小陶 0.11
长泰陈巷 -0.07 连城姑田 0.10 泉港前黄 -0.06 永定抚市 -0.18
长汀汀州 0.05 连城莒溪 0.16 顺昌岚下 -0.14 永泰盖洋 0.05
德化唐寨 -0.08 龙岩西陂 -0.15 上杭临城 -0.07 云霄火田 -0.09
福安城阳 -0.26 闽清雄江 0.08 寿宁清源 -0.07 诏安桥东 -0.31
福鼎贯岭 -0.23 宁化城南 0.19 泰宁杉城 -0.09 政和南庄 0.07
福清东张 0.10 南靖金山 -0.10 武平湘店 0.09 漳浦赤湖 -0.19
福州日溪 -0.06 浦城官路 -0.19 武夷新丰 0.09 漳平桂林 0.15
古田水口 0.16 平和九峰 -0.43 厦门集美 -0.13 漳州九湖 -0.11
), ArticleFig(id=1322940573275005683, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322940553222038169, language=CN, label=表4, caption=

仙游震群介质传播方向校正值

, figureFileSmall=null, figureFileBig=null, tableContent=
台站名称 Sθ 台站名称 Sθ 台站名称 Sθ 台站名称 Sθ
安溪长坑 0.13 光泽鸾凤 -0.20 平和山格 -0.23 厦门思明 -0.17
安溪参内 0.06 晋江金井 0.06 平潭澳前 -0.24 霞浦三沙 -0.14
安溪大坪 -0.07 建宁濉溪 -0.22 莆田荔城 -0.07 永安小陶 0.11
长泰陈巷 -0.07 连城姑田 0.10 泉港前黄 -0.06 永定抚市 -0.18
长汀汀州 0.05 连城莒溪 0.16 顺昌岚下 -0.14 永泰盖洋 0.05
德化唐寨 -0.08 龙岩西陂 -0.15 上杭临城 -0.07 云霄火田 -0.09
福安城阳 -0.26 闽清雄江 0.08 寿宁清源 -0.07 诏安桥东 -0.31
福鼎贯岭 -0.23 宁化城南 0.19 泰宁杉城 -0.09 政和南庄 0.07
福清东张 0.10 南靖金山 -0.10 武平湘店 0.09 漳浦赤湖 -0.19
福州日溪 -0.06 浦城官路 -0.19 武夷新丰 0.09 漳平桂林 0.15
古田水口 0.16 平和九峰 -0.43 厦门集美 -0.13 漳州九湖 -0.11
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福建地区近震震级偏差研究
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郭阳 1 , 李军 1 , 金星 1 , 林彬华 1 , 蔡辉腾 1, *
大地测量与地球动力学 | 地震地质 2025,45(3): 266-272
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大地测量与地球动力学 |地震地质 2025 , 45 (3) : 266 -272
福建地区近震震级偏差研究
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郭阳1 , 李军1, 金星1, 林彬华1, 蔡辉腾1, *
作者信息
  • 1 福建省地震局, 福州市华鸿路7号, 350003
通讯作者:

蔡辉腾,研究员,主要从事地震工程学和地震灾害风险防治研究,E-mail:

CAI Huiteng, researcher, majors in earthquake engineering and earthquake disaster risk prevention and control, E-mail:

作者简介:

郭阳,工程师,主要从事地震学和地震工程学研究,E-mail:

Study on Local Magnitude Deviations in Fujian
Yang GUO1 , Jun LI1, Xing JIN1, Binhua LIN1, Huiteng CAI1, *
Affiliations
  • 1 Fujian Earthquake Agency, 7 Huahong Road, Fuzhou 350003, China
  • GUO Yang, engineer, majors in seismology and earthquake engineering, E-mail:

出版时间: 2025-03-15 doi: 10.14075/j.jgg.2024.04.183
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基于福建数字地震台网编目资料,选取2010—2023年发生在福建地区的3 720次地震,研究福建地区近震震级ML偏差,采用震级残差法获得适用于福建地区的量规函数R3(Δ)、台站校正值Sj和介质传播方向校正值Sθ,以提高近震震级精度。结果表明,校正后的震级偏差标准差从0.29降至0.19;为提高预警震级的准确性,应用首台震级测定,震级偏差标准差从0.31降至0.25。由此可见,新修订的量规函数、台站校正值和介质传播方向校正值在福建地区具有较强的适用性。

震级偏差  /  量规函数  /  台站校正值  /  介质传播方向校正值  /  震级残差法

Based on the catalogue data from Fujian digital seismic network, a total of 3 720 earthquakes that occurred in Fujian from 2010 to 2023 are selected to study the local magnitude (ML) deviations. The magnitude residual method is used to obtain a new calibration function (R3(Δ)), station correction values (Sj) and medium propagation direction correction values (Sθ) which are applicable to Fujian, enhancing the accuracy of local magnitude measurement. The results indicate that standard deviation of magnitude deviations decreases from 0.29 to 0.19 after correction. In order to improve the accuracy of earthquake warning magnitude measurement, we apply the first station's magnitude, resulting in the standard deviation of magnitude deviations decreases from 0.31 to 0.25. It is evident that the new calibration function, station correction values and medium propagation direction correction values exhibit strong practicality in Fujian.

magnitude deviations  /  calibration function  /  station correction values  /  medium propagation direction correction values  /  magnitude residual method
郭阳, 李军, 金星, 林彬华, 蔡辉腾. 福建地区近震震级偏差研究. 大地测量与地球动力学, 2025 , 45 (3) : 266 -272 . DOI: 10.14075/j.jgg.2024.04.183
Yang GUO, Jun LI, Xing JIN, Binhua LIN, Huiteng CAI. Study on Local Magnitude Deviations in Fujian[J]. Journal of Geodesy and Geodynamics, 2025 , 45 (3) : 266 -272 . DOI: 10.14075/j.jgg.2024.04.183
震级作为地震三要素之一,是表征地震规模和强度的物理量。常见的震级标度有近震震级ML、面波震级MS、体波震级MB和Mb、持续时间震级MD、矩震级MW及谱震级M(T)等,对于区域性地震一般使用近震震级ML来表示地震大小[1-3]。研究表明,由于不同地区地壳结构存在差异,最大振幅随震中距的衰减规律并不相同,测得的近震震级与真实震级之间存在一定偏差[4-9]。为准确定义近震震级,我国地震工作者开展了大量工作[10-24],对近震震级偏差进行研究,修正了各区域台网的量规函数,在一定程度上可减小震级离散度,提高近震震级精度。
目前,福建数字地震台网仍延用当初推广到我国的短周期仪器量规函数R1(Δ),且福建新台网自建立以来还未系统性地对台网各台站进行台站校正和方向性校正,这些因素都会影响近震震级测定,使得台网各子台测定的震级存在较大偏差。本文结合福建当地情况,采用震级残差法修正已有的量规函数,确定台站校正值和介质传播方向校正值,以提高福建台网测定近震震级的准确度。
从1985年的模拟遥测台网,到1995年的数字遥测台网,再到如今的数字化地震台网,福建省已建成由88个测震台站、176个强震台站和900个烈度计组成的综合台网。与前期相比,台网台间距缩小,布局更加优化,地震监测能力得到显著提高。近震震级是台网各子台测定的平均震级,选取2010—2023年台网编目内震中位于福建且震级不低于1.0级,并确保被4个台站记录的3 720次地震事件,得到61 579条单台信息,其中测震台站和震中位置分布见图1,震级范围为1.0~5.0,震中距范围为1~496 km。
近震震级一般可表示为:
$M_{\mathrm{L}}=\lg A+R_1(\varDelta)$
式中,A为S波2个水平方向最大地动位移的算术平均值;R1(Δ)为短周期仪器量规函数[25]。令Mij为利用式(1)计算的第i个地震、第j个台站的台站震级,则台网震级Mi、震级偏差ΔMij及标准差δi可表示为[13]:
$M_i=\frac{1}{N} \sum\limits_{j=1}^N M_{i j}$
$\Delta M_{i j}=M_{i j}-M_i$
$\delta_i=\sqrt{\frac{\sum\limits_{j=1}^N\left(\Delta M_{i j}\right)^2}{N-1}}$
通过上述方法对样本进行统计分析,结果表明,样本大致呈正态分布(图2),标准差为0.29,离散度相对较大。分析震级偏差较大的原因主要有:1)原量规函数R1(Δ)无法准确反映福建地区地震波振幅衰减规律;2)台站因素及地震波辐射方向等影响最大振幅的测定。
基于福建数字地震台网编目数据,对样本震级偏差进行校正,得到适用于福建地区的量规函数、台站校正值和介质传播方向校正值。修正后的近震震级公式为[18]:
$M_{\mathrm{L}}=\lg A+R_3(\varDelta)+S_j+S_\theta$
式中,R3(Δ)为适用于福建地区的量规函数;Sj为台站校正值;Sθ为介质传播方向校正值。
为分析台站震级与平均震级之间的关系,以震中距为横坐标,绘制震级偏差分布图。从图3可以看出,在样本震中距范围内,震级偏差较大,大部分在±1.0以内波动,甚至有部分偏差超过1.5。
按原量规函数R1(Δ)的分段特征对样本震中距进行分段,即震中距0~100 km按5 km分段,震中距100~500 km按10 km分段。利用式(6)计算震中距0~500 km范围内各分段的平均震级偏差$\overline{\Delta M_K}$[13]:
$\overline{\Delta M_K}=\frac{1}{N_K} \sum\limits_{l=1}^{N_K} \Delta M_l$
式中,K为分段序数;NK为各分段的样本数;l为各分段中第l个台站;ΔMl为各分段中第l个台站的震级偏差。分段统计结果见表1。
选取样本数不少于50个的震中距分段(共42段),分析其平均震级偏差。由图4可知,当震中距小于65 km时,震级偏差为负值;震中距为20~25 km时,震级偏差最大,达到0.39,表明原量规函数R1(Δ)偏小且不适用;当震中距为65~320 km时,震级偏差为正值,且偏差量基本控制在0.10左右,可见该震中距范围内原量规函数R1(Δ)略偏大。
通过分析可知,近场单台震级偏小主要是由于原量规函数R1(Δ)并不适用于福建地区。福建省自地震监测工作开展起来,已通过原量规函数R1(Δ)积累了大量的近震震级资料。为保证震级标度系统的稳定性,尽量使新修订的量规函数与原量规函数所测的震级不存在系统偏差,本文将震级残差法所得的量规函数R3(Δ)作为福建地区新修订的量规函数。为保证校正结果的可信度,选取分段中样本数不少于50个的震中距(0~320 km)进行修正。新量规函数R3(Δ)表达式为[18]:
$R_3(\varDelta)=R_1(\varDelta)-\overline{\Delta M_K}$
按式(7)重新计算福建地区震中距320 km范围内的量规函数R3(Δ),结果见表2。由于震中距为320~1 000 km的样本较少,统计结果存在偏差,因此该范围内的量规函数R3(Δ)仍延用原量规函数R1(Δ)。
为直观反映新量规函数R3(Δ)相对于原量规函数R1(Δ)的变化情况,将R1(Δ)和R3(Δ)曲线进行比较。由图5可以看出,R3(Δ)与R1(Δ)的总体趋势一致,仅在震中距65 km处出现拐点,震中距在65 km以内时R3(Δ)大于R1(Δ),震中距在65~320 km之间时R3(Δ)小于R1(Δ)。
为避免不合适的量规函数所造成的影响,应在量规函数校正后再进行台站校正。台站校正值计算公式为[18]:
$S_j=-\frac{1}{N_j} \sum\limits_{i=1}^{N_j}\left(M_{i j}^{\prime}-M_i^{\prime}\right)$
式中,Nj为样本中第j个台站的个数;M′ ij为经量规函数校正后的台站震级;M′ i为经量规函数校正后的平均震级。对校正值不小于0.05的台站进行台站校正,结果见表3。
从表3可以看出,福建台网88个测震台站中有7个台站的校正值不小于0.20,占比8%,其中永安槐南台的校正值最大,达到0.58。由此可见,即便是同一区域,在使用合适的量规函数时,不同台站测得的震级差异仍很大,因而有必要对各个台站进行台站校正。
图6为福建地区各个台站的台站校正值,可以看出,台站校正值未呈现明显的区域性或块状分布。另外,由于样本分布的原因,暂未发现台站校正值与台站参数(仪器位置、台基岩性、海拔、仪器型号)的相关性。
由于地震波在不同方向上辐射能量的不均衡性,即使在使用合适的量规函数和台站校正值后,测定的震级仍会存在一定偏差。考虑到福建仙游台地处福建台网东部(图7),且仙游震群占总样本的比例较大(占比28%),故对该处地震进行介质传播方向校正。
经本文量规函数和台站校正后,统计仙游震群中各台站的介质传播方向校正值,计算公式可表示为[18]:
$S_\theta=-\frac{1}{N_q} \sum\limits_{p=1}^{N_q}\left(M_{p q}^{\prime \prime}-M_p^{\prime \prime}\right)$
式中,p为仙游震群第p个地震;q为仙游震群第q个台站;Nq为第q个台站的个数;M″ pq为经量规函数和台站校正后的台站震级;M″ p为经量规函数和台站校正后的平均震级。
对仙游震群介质传播方向校正值不小于0.05的台站进行校正,结果见表4。值得注意的是,图7中福建仙游ML4.1地震未辐射到的泉港前黄(QGQH)、莆田湄洲(PTMZ)、晋江金井(JJJJ)等台站为2012-12之后新建的台站,仅参与后续地震震级计算。表4中平和九峰台的校正值最大,为0.43,另有8个台站的校正值大于0.20,占比9%。由此可见,即使在使用合适的量规函数和台站校正值后,不同台站测得的ML震级仍存在一定差异,还应考虑介质传播方向的影响。
为验证校正结果的可靠性,以标准差作为检验标准,比较福建地区61 579个样本各阶段校正前后的离散度。经统计可得(图8),未校正时震级偏差标准差为0.29,经量规函数校正后为0.25,经量规函数和台站校正后为0.20,经量规函数、台站校正和介质传播方向校正后为0.19,震级偏差标准差减少34%。
为反映研究结果在具体地震中的应用情况,分别以福建仙游4.1级和福建仙游3.5级地震为例进行分析。从图9和10可以看出,经校正后的台站震级分布更为集中,福建仙游4.1级地震的震级偏差离散度由0.29减小到0.21,其中永安槐南台(YAHN)未校正时偏差为0.50,校正后偏差值为0.03;福建仙游3.5级地震的震级偏差离散度由0.26减小到0.12,永安槐南台(YAHN)未校正时偏差为0.80,校正后偏差值为0.06。由此可见,本文研究结果在福建地区的近震震级测定中具有较强的适用性。
首台震级的测定同样受量规函数、台站情况和介质传播方向等因素的影响[26]。对样本首个触发台站进行震级校正,未校正时震级偏差标准差为0.31,经量规函数校正后为0.29,经量规函数和台站校正后为0.26,经量规函数、台站校正和介质传播方向校正后为0.25,校正后震级偏差标准差总体上减小19%左右,表明本文研究结果在福建地区预警首台震级估计中同样具有较好的适用性。
基于福建数字地震台网编目数据,分析福建地区近震震级偏差,采用震级残差法获得适用于福建地区的量规函数、台站校正值和介质传播方向校正值,并将其应用于地震预警首台震级的测定,获得以下认识:
1) 福建地区近场(65 km以内)台站震级偏小,其中震中距为20~25 km时震级偏差值最大,可达0.39,可见原量规函数R1(Δ)无法准确反映福建地区地震波振幅衰减规律。
2) 在福建地区88个测震台站中,有7个台站的校正值大于0.20,最大值达0.58(永安槐南台),但目前尚未观察到台站校正值与区域或台站参数之间的相关性。
3) 福建仙游是福建地区近年来地震活动性较高的区域,在量规函数、台站校正基础上对其进行介质传播方向校正,其中平和九峰台的校正值为0.43,有8个台站的校正值大于0.20,震级偏差标准差从0.20降至0.19。尽管震级偏差总体上有所改善,但改善幅度有限,这是由于福建地区地处华南地块,介质相对均匀,导致介质传播方向的差异性总体上不显著。
4) 经量规函数、台站校正和介质传播方向校正后,福建地区近震震级离散度从0.29减小到0.19,首台震级离散度从0.31减小到0.25,可见本文研究结果在福建地区地震震级和预警震级测定中均具有较强的适用性。
  • 国家自然科学基金(42104062)
  • 福建省地震局科研基金(M202302)
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doi: 10.14075/j.jgg.2024.04.183
  • 接收时间:2024-04-18
  • 首发时间:2026-10-30
  • 出版时间:2025-03-15
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  • 收稿日期:2024-04-18
基金
National Natural Science Foundation of China(42104062)
国家自然科学基金(42104062)
Scientific Research Project of Fujian Earthquake Agency(M202302)
福建省地震局科研基金(M202302)
作者信息
    1 福建省地震局, 福州市华鸿路7号, 350003

通讯作者:

蔡辉腾,研究员,主要从事地震工程学和地震灾害风险防治研究,E-mail:

CAI Huiteng, researcher, majors in earthquake engineering and earthquake disaster risk prevention and control, E-mail:

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2种不同金属材料的力学参数
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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