留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于微动方法提高浅层横波波速结构反演精度−以海口江东新区为例

张前,  吴小洁,  钟宙灿,  蔡水库

张前,吴小洁,钟宙灿,等,2025. 基于微动方法提高浅层横波波速结构反演精度:以海口江东新区为例[J]. 地质力学学报,31(1):109−123 doi: 10.12090/j.issn.1006-6616.2024055
引用本文: 张前,吴小洁,钟宙灿,等,2025. 基于微动方法提高浅层横波波速结构反演精度:以海口江东新区为例[J]. 地质力学学报,31(1):109−123 doi: 10.12090/j.issn.1006-6616.2024055
ZHANG Q,WU X J,ZHONG Z C,et al.,2025. Improving the inversion accuracy of shallow shear wave velocity structure based on microtremor method: A case study of Haikou Jiangdong New District[J]. Journal of Geomechanics,31(1):109−123 doi: 10.12090/j.issn.1006-6616.2024055
Citation: ZHANG Q,WU X J,ZHONG Z C,et al.,2025. Improving the inversion accuracy of shallow shear wave velocity structure based on microtremor method: A case study of Haikou Jiangdong New District[J]. Journal of Geomechanics,31(1):109−123 doi: 10.12090/j.issn.1006-6616.2024055

基于微动方法提高浅层横波波速结构反演精度−以海口江东新区为例

doi: 10.12090/j.issn.1006-6616.2024055
基金项目: 海南省海洋地质资源与环境重点实验室自主课题(22-HNHYDZZYHJKF023,HNHYDZZYHJZZ003)
详细信息
    作者简介:

    张前(1982—),男,高级工程师,主要从事综合物探应用研究。 Email:251254900@qq.com

    通讯作者:

    吴小洁(1983—),女,高级工程师,主要从事综合物探应用研究。 Email:12738455@qq.com

  • 中图分类号: P315.61

Improving the inversion accuracy of shallow shear wave velocity structure based on microtremor method: A case study of Haikou Jiangdong New District

Funds: This research is financially supported by Key Laboratory of Marine Geological Resources and Environment of Hainan Province (Grants No. 22-HNHYDZZYHJKF023 and HNHYDZZYHJZZ003).
  • 摘要: 微动方法不受地震源时空分布的限制,已成为探测浅层地下横波速度空间结构的重要方法。在海口江东新区开展微动与钻孔、横波测井的对比试验,试验显示:微动反演结果与测井曲线形态一致,对应深度地层的横波速度基本吻合,取得了一定的应用效果;但在分层上微动和钻孔结果并非完全对应,就波速而言,微动结果未反演出一个波速差异较小界面,钻孔结果未区分出一个波速差异较大界面,对两者在微动反演结果中的影响机制进行研究,有助于提高对微动反演模型的认识,获得更合理的反演结果。基于波速差异较小和较大界面,设计物性分层模型、地质分层模型以及组合模型,从频散曲线形态、软弱夹层、分层变化等方面讨论两类界面影响反演结果的规律。结果显示:物性分层模型反演结果能更好地反映出软弱层位置;改变界面主要影响相邻地层,增加波速差异较小和较大界面,分别使相邻地层波速误差增大和减小;波速差异较大界面对相邻层波速的影响程度要小于差异较小界面,误差大幅变化主要是由波速差异较小界面引起,反演对波速差异较小界面更敏感。微动方法在海口江东新区实际应用研究表明,合并模型中波速差异较小界面或增设波速差异较大的界面,不改变地层局部的变化趋势时,有助于提高波速的反演精度。选取实测数据反演得到二维微动横波速度剖面,结合钻孔提供工程基岩面的埋深及起伏信息,为海口江东新区场地条件评价和地下空间利用规划提供可靠依据。

     

  • 图  1  海口江东新区位置及收集钻孔分布图

    a—海口江东新区区位;b—钻孔及微动剖面线位置

    Figure  1.  Location and distribution map of the bore holes collected in Haikou Jiangdong New District

    (a) Location of Haikou Jiangdong New District; (b) Position of the bore holes and the microtremor profile line

    图  2  江东新区孔中横波测井成果

    a—JDSK005横波测井曲线;b—JDSK008横波测井曲线;c—JDSK006横波测井曲线

    Figure  2.  Shear wave logging results in bore holes in Jiangdong New District

    (a) JDSK005 shear wave logging curve; (b) JDSK008 shear wave logging curve; (c) JDSK006 shear wave logging curve

    图  3  微动探测台阵示意图

    r—台阵圆周半径

    Figure  3.  Illustration of the microtremor observation station

    r−Circumference radius of the microtremor stations

    图  4  微动数据主要处理流程(钟宙灿等,2023)

    a—微动原始数据;b—频散曲线提取;c—分层反演

    Figure  4.  Main processing flow of microtremor sound data (Zhong et al.,2023)

    (a) Microtremor data; (b) Dispersion curve extraction; (c) Hierarchical inversion

    图  5  微动反演成果曲线与横波测井曲线对比

    a—微动频散曲线;b—JDSK006横波测井曲线

    Figure  5.  Comparison between the microtremor inversion and shear wave logging curve

    (a) Microtremor dispersion curve; (b) JDSK006 shear wave logging curve

    图  6  微动反演速度结构与钻孔钻遇地层对比

    Figure  6.  Comparison of the wave velocity structure of microtremor inversion and drilled geological strata

    图  7  各层波速标准差和微动反演底界深度相对误差交汇图

    Figure  7.  Intersection diagram of the standard deviation of the wave velocity and the relative error of the bottom boundary depth of microtremor inversion

    图  8  模型1—6横波速度反演结果

    a—模型1;b—模型2;c—模型3;d—模型4;e—模型5;f—模型6

    Figure  8.  Results of shear wave velocity inversion in models 1-6

    (a) Model 1; (b) Model 2; (c) Model 3; (d) Model 4; (e) Model 5; (f) Model 6

    图  9  模型1—6地层反演波速对比

    Figure  9.  Comparison of wave velocity inversion for models 1-6

    图  10  模型1—6地层反演波速绝对误差对比

    Figure  10.  Comparison of the absolute errors of wave velocity inversion for models 1-6

    图  11  模型1—6地层反演波速均方相对误差对比

    Figure  11.  Comparison of mean square relative errors of wave velocity inversion for models 1-6

    图  12  微动探测综合解释剖面

    a—二维微动横波速度剖面;b—地质解译剖面

    Figure  12.  Comprehensive interpretation profile of the microtremor survey

    (a) 2D microtremor shear wave velocity; (b) Geological interpretation

    表  1  微动反演结果与JDSK006钻孔钻遇地层、孔中测井结果对比

    Table  1.   Comparison of microtremor inversion results with geological strata and logging results of borehole JDSK006

    钻孔钻遇地层 孔中测井 微动反演结果 底界深度
    相对误差/%
    层速度绝对
    误差/(m/s)
    测井波速
    标准差/(m/s)
    土的
    类型
    时代单元 岩性名称 底界
    深度/m
    层速度/
    (m/s)
    底界
    深度/m
    层速度/
    (m/s)
    第四系烟墩组、秀英组 粉细砂、黏土 15.35 163 15.6 184 1.62 21 30.8 软弱土−
    中软土
    新近系海口组3段 含贝壳碎屑砾砂 23.70 375 22.3 392 6.09 17 76.0 中硬土
    新近系海口组2段 粉质黏土 47.00 646 48.2 695 2.52 49 50.5 坚硬土
    贝壳碎屑岩 52.70 675 — — — — — 软质岩
    粉质黏土
    (层间含贝壳碎屑)
    — 666 60.2 620 4.55 46 30.7 坚硬土
    77.70 714 75.0 711 3.54 3 38.4 坚硬土
    粉质黏土
    (砾粒增多)
    94.00 736 92.5 770 1.62 34 30.5 坚硬土
    新近系海口组1段 贝壳碎屑砂砾岩(砾砂互层) 109.30 793 114.0 811 4.21 18 52.7 较硬岩
    贝壳碎屑砂砾岩 133.80 — 133.0 767 0.60 — — 较硬岩
    新近系灯楼角组 多层相间的粉质黏土、中砂及粉砂 169.13 — 162.0 816 4.31 — — 坚硬土
    多层相间的粉质黏土、粗砂及粉砂 200.17 — 216.0 963 — — — 坚硬土
    下载: 导出CSV

    表  2  模型1—3微动反演结果及误差分析

    Table  2.   Results and error analysis of microtremor inversion in models 1-3

    层编号钻探分层
    深度/m
    测井横波
    波速/(m/s)
    模型1模型2模型3
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    115.35163.0015.60183.8920.8915.60184.6921.6915.60182.6119.61
    223.70375.0022.30391.5816.5822.30381.006.0022.30403.7728.77
    347.00646.0048.20695.3449.3448.20735.1889.1848.20664.5018.50
    452.70675.00———52.65461.90213.1052.65451.50223.50
    5—666.0060.20620.2345.7760.20558.77107.23———
    677.70714.0075.00711.012.9975.00724.4910.4975.00768.0754.07
    794.00736.0092.50769.6733.6792.60783.1847.1892.40752.5416.54
    8109.30793.00114.00811.2618.26114.00817.5524.55114.00809.5016.50
    9133.80—133.80767.25—133.20763.26—133.20766.27—
    10169.13—162.00816.04—162.00817.78—162.00827.15—
    11200.17—216.00962.73—216.00958.50—216.00972.89—
    均方相对误差4.58%均方相对误差11.42%均方相对误差11.43%
    下载: 导出CSV

    表  3  模型4—6微动反演结果及误差分析

    Table  3.   Results and error analysis of microtremor inversion in models 4-6

    层编号钻探分层
    深度/m
    测井横波
    波速/(m/s)
    模型4模型5模型6
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    分层深度/
    m
    反演波速/
    (m/s)
    绝对误差/
    (m/s)
    115.35163.0015.36180.0517.0515.36181.4018.4015.36180.9017.90
    223.70375.0023.70461.4586.4523.70446.1871.1823.70454.2179.21
    347.00646.0047.00634.3611.6447.00707.9261.9247.00662.9816.98
    452.70675.0052.65480.12194.8852.65495.54179.46———
    5—666.00———60.20565.78100.2260.20637.6728.33
    677.70714.0077.60804.1290.1277.60774.1560.1577.60757.4043.40
    794.00736.0094.00746.2610.2694.00773.5337.5394.00761.5025.50
    8109.30793.00109.25735.8357.17109.25745.3747.63109.25739.4753.53
    9133.80—133.80825.48—133.80822.23—133.80821.04—
    10169.13—169.20867.89—169.20854.44—169.20858.23—
    11200.17—200.00921.52—200.00902.97—200.00909.55—
    均方相对误差11.55%均方相对误差10.70%均方相对误差6.51%
    下载: 导出CSV
  • [1] AKI K, 1957. Space and time spectra of stationary stochastic waves, with special reference to microtremors[J]. Bulletin of the Earthquake Research Institute, 35: 415-456.
    [2] AKI K, 1965. A note on the use of microseisms in determining the shallow structures of the earth’s crust[J]. Geophysics, 30(4): 665-666. doi: 10.1190/1.1439640
    [3] BEATY K S, SCHMITT D R, SACCHI M, 2002. Simulated annealing inversion of multimode Rayleigh wave dispersion curves for geological structure[J]. Geophysical Journal International, 151(2): 622-631. doi: 10.1046/j.1365-246X.2002.01809.x
    [4] CAI W, SONG X H, YUAN S C, et al., 2018. Inversion of Rayleigh wave dispersion curves based on firefly and bat algorithms[J]. Chinese Journal of Geophysics, 61(6): 2409-2420. (in Chinese with English abstract
    [5] CHO I, NAKKKANISHI I, LING S, et al., 1999. Application of forking genetic algorithm FGA to an exploration method using microtremors; Bidotansaho heno kotaigun tansaku bunkigata identeki arugorizumu fGA no tekiyo[J]. Geophysical Exploration, 52(3): 227-246.
    [6] CHAVEZ-GARCIA F J, RODRIDUEZ M, STEPHENSON W R, 2005. Analternative approach to the SPAC analysis of microtremors: exploiting stationarity of noise[J]. Bull. Seism. Soc. Am.,95(1): 277-293.
    [7] FU W, XU P F, LING S Q, et al., 2012. Application of the microtremor survey method to geothermal exploration[J]. Shanghai Land & Resources, 33(3): 71-75. (in Chinese with English abstract
    [8] GAO Y H, HUANG S H, LIU D, et al., 2018. Microtremor detection technology and its new progress in engineering application[J]. Science Technology and Engineering, 18(23): 146-155. (in Chinese with English abstract
    [9] HE Z Q, DING Z F, JIA H, et al., 2007. To determine the velocity structure of shallow crust with surface wave information in microtremors[J]. Chinese Journal of Geophysics, 50(2): 492-498. (in Chinese with English abstract
    [10] HE Z Q, HU G, LU L Y, et al., 2013. The shallow velocity structure for the Tonghai basin in Yunnan[J]. Chinese Journal of Geophysics, 56(11): 3819-3827. (in Chinese with English abstract
    [11] HORIKE M, 1985. Inversion of phase velocity of long-period microtremors to the S-wave-velocity structure down to the basement in urbanized areas[J]. Journal of Physics of the Earth, 33(2): 59-96. doi: 10.4294/jpe1952.33.59
    [12] HUANG H Q, 2011. Research on application of passive suface wave methods in the metallic ore zone[J]. Geology of Fujian, 30(4): 320-326. (in Chinese with English abstract
    [13] LI Q L, LEI X D, LI C, et al., 2019. Exploring thick overburden structure by microtremor survey: a case study in the subsidiary administrative center[J]. Progress in Geophysics, 34(4): 1635-1643. (in Chinese with English abstract
    [14] LIANG D Y, XU G Q, XIAO Y, et al., 2021. Neogene-quaternary stratigraphic standard and combined zoning of Haikou Jiangdong new district[J]. Science Technology and Engineering, 21(26): 11052-11063. (in Chinese with English abstract
    [15] LIU H P, BOORE D M, JOYNER W B, et al., 2000. Comparison of phase velocities from array measurements of Rayleigh waves associated with microtremor and results calculated from borehole shear-wave velocity profiles[J]. Bulletin of the Seismological Society of America, 90(3): 666-678. doi: 10.1785/0119980186
    [16] LIU Y Z, MEI R W, YE P, et al., 2016. Data acquisition and processing system of WD intelligent natural source surface wave and its application test[J]. Geophysical and Geochemical Exploration, 40(5): 1007-1015. (in Chinese with English abstract
    [17] LI X Y, CHEN X F, YANG Z T, et al., Application of high-order surface waves in shallow exploration: An example of the Suzhou river, Shanghai[J]. Chinese Journal of Geophysics, 63(1): 247-255.
    [18] NI S D, LI Z W, SOMERVILLE P, 2014. Estimating subsurface shear velocity with radial to vertical ratio of local P waves[J]. Seismological Research Letters, 85(1): 82-90. doi: 10.1785/0220130128
    [19] SONG X H, GU H M, ZHANG X Q, et al., 2008. Pattern search algorithms for nonlinear inversion of high-frequency Rayleigh-wave dispersion curves[J]. Computers & Geosciences, 34(6): 611-624.
    [20] SONG X H, TANG L, LV X C, et al., 2012. Application of particle swarm optimization to interpret Rayleigh wave dispersion curves[J]. Journal of Applied Geophysics, 84: 1-13. doi: 10.1016/j.jappgeo.2012.05.011
    [21] TIAN B Q, DU Y N, YOU Z W, et al., 2019. Measuring the sediment thickness in urban areas using revised H/V spectral ratio method[J]. Engineering Geology, 260: 105223. doi: 10.1016/j.enggeo.2019.105223
    [22] TSAI V C, MOSCHETTI M P, 2010. An explicit relationship between time-domain noise correlation and spatial autocorrelation (SPAC) results[J]. Geophysical Journal International, 182(1): 454-460.
    [23] XIA J H, MILLER R D, PARK C B, 1999. Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves[J]. Geophysics, 64(3): 691-700. doi: 10.1190/1.1444578
    [24] XIE P, WANG Q L, LI J G, et al., 2019. Application of SPAC method on stratification of stratigraphic structure in Jianghan Plain[J]. China Earthquake Engineering Journal, 41(3): 717-723. (in Chinese with English abstract
    [25] XU H, WU X P, SHENG Y, et al., 2021. Application of microtremor survey method in detection of urban land subsidence[J]. Geophysical and Geochemical Exploration, 45(6): 1512-1519. (in Chinese with English abstract
    [26] XU P F, LI C J, LING S Q, et al., 2009. Mapping collapsed columns in coal mines utilizing microtremor survey methods[J]. Chinese Journal of Geophysics, 52(7): 1923-1930. (in Chinese with English abstract
    [27] XU P F, LING S Q, LI C J, et al., 2012. Mapping deeply-buried geothermal faults using microtremor array analysis[J]. Geophysical Journal International, 188(1): 115-122. doi: 10.1111/j.1365-246X.2011.05266.x
    [28] XU P F, SHI W, LING S Q, et al., 2012. Mapping spherically weathered “boulders” using 2D microtremor profiling method: a case study along subway line 7 in Shenzhen[J]. Chinese Journal of Geophysics, 55(6): 2120-2128. (in Chinese with English abstract
    [29] XU P F, LI S H, DU J G, et al., 2013a. Microtremor survey method: a new geophysical method for dividing strata and detecting the buried fault structures[J]. Acta Petrologica Sinica, 29(5): 1841-1845. (in Chinese with English abstract
    [30] XU P F, LI S H, LING S Q, et al., 2013b. Application of SPAC method to estimate the crustal S-wave velocity structure[J]. Chinese Journal of Geophysics, 56(11): 3846-3854. (in Chinese with English abstract
    [31] XU P F, DU Y N, LING S Q, et al., 2020. Microtremor survey method based on inversion of the SPAC coefficient of multi-mode Rayleigh waves and its application[J]. Chinese Journal of Geophysics, 63(10): 3857-3867. (in Chinese with English abstract
    [32] XU Y X, ZHANG B L, LUO Y H, et al., 2013b. Surface-wave observations after integrating active and passive source data[J]. The Leading Edge, 32(6): 634-637. doi: 10.1190/tle32060634.1
    [33] XU Y X, LUO Y H, 2015. Methods of ambient noise-based seismology and their applications[J]. Chinese Journal of Geophysics, 58(8): 2618-2636, doi: 10.6038/cjg20150803. (in Chinese with English abstract
    [34] YANG T C, HE J S, LU S L, et al., 2004a. Dispersion curves of Rayleigh wave in three-layer media[J]. Geophysical and Geochemical Exploration, 28(1): 41-45. (in Chinese with English abstract
    [35] YANG T C, HE J S, LV S L, et al., 2004b. Multimodes of Rayleigh guided waves and their dispersion and displacement characteristics in three-layer media[J]. Computing Techniques for Geophysical and Geochemical Exploration, 26(1): 20-26. (in Chinese with English abstract
    [36] YANG T C, XIAO Q L, 2009. Dispersion characteristics of Rayleigh waves in multilayered media[J]. Geophysical and Geochemical Exploration, 33(3): 299-303. (in Chinese with English abstract
    [37] ZHANG B X, LU L Y, BAO G S, 2002. A study on zigzag dispersion curves in Rayleigh wave exploration[J]. Chinese Journal of Geophysics, 45(2): 263-274. (in Chinese with English abstract
    [38] ZHAO D, 2010. Passive surface waves: methods and applications[J]. Geophysical and Geochemical Exploration, 34(6): 759-764. (in Chinese with English abstract
    [39] ZHAO H P, HE D K, HONG Y, 2022. Inversion of microtremor recordings dispersion curve based on geological unit[J]. Journal of Mining Science and Technology, 7(6): 662-669. (in Chinese with English abstract
    [40] ZHONG Z C, CAI S K, LIU Q X, et al., 2023. Application of SPAC method on to the fine division of Neogene-quaternary strata in Haikou Jiangdong new district[J]. Science Technology and Engineering, 23(36): 15393-15403. (in Chinese with English abstract
    [41] 蔡伟,宋先海,袁士川,等,2018. 基于萤火虫和蝙蝠群智能算法的瑞雷波频散曲线反演[J]. 地球物理学报,61(6):2409-2420. doi: 10.6038/cjg2018L0322
    [42] 付微,徐佩芬,凌苏群,等,2012. 微动勘探方法在地热勘查中的应用[J]. 上海国土资源,33(3):71-75.
    [43] 高艳华,黄溯航,刘丹,等,2018. 微动探测技术及其工程应用进展[J]. 科学技术与工程,18(23):146-155. doi: 10.3969/j.issn.1671-1815.2018.23.020
    [44] 何正勤,丁志峰,贾辉,等,2007. 用微动中的面波信息探测地壳浅部的速度结构[J]. 地球物理学报,50(2):492-498. doi: 10.3321/j.issn:0001-5733.2007.02.021
    [45] 何正勤,胡刚,鲁来玉,等,2013. 云南通海盆地的浅层速度结构[J]. 地球物理学报,56(11):3819-3827. doi: 10.6038/cjg20131123
    [46] 黄海清,2011. 被动源面波勘探在金属矿区的应用探索[J]. 福建地质,30(4):320-326. doi: 10.3969/j.issn.1001-3970.2011.04.008
    [47] 李巧灵,雷晓东,李晨,等,2019. 微动测深法探测厚覆盖层结构:以北京城市副中心为例[J]. 地球物理学进展,34(4):1635-1643. doi: 10.6038/pg2019CC0128
    [48] 李雪燕,陈晓非,杨振涛,等,2020. 城市微动高阶面波在浅层勘探中的应用:以苏州河地区为例[J]. 地球物理学报,63(1):247-255.
    [49] 梁定勇,许国强,肖瑶,等,2021. 海口江东新区新近纪-第四纪标准地层与组合分区[J]. 科学技术与工程,21(26):11052-11063. doi: 10.3969/j.issn.1671-1815.2021.26.008
    [50] 刘云祯,梅汝吾,叶佩,等,2016. WD智能天然源面波数据采集处理系统及其应用试验[J]. 物探与化探,40(5):1007-1015.
    [51] 谢朋,王秋良,李井冈,等,2019. SPAC法在江汉平原地层结构分层中的应用[J]. 地震工程学报,41(3):717-723. doi: 10.3969/j.issn.1000-0844.2019.03.717
    [52] 徐浩,吴小平,盛勇,等,2021. 微动勘探技术在城市地面沉降检测中的应用研究[J]. 物探与化探,45(6):1512-1519.
    [53] 徐佩芬,李传金,凌甦群,等,2009. 利用微动勘察方法探测煤矿陷落柱[J]. 地球物理学报,52(7):1923-1930. doi: 10.3969/j.issn.0001-5733.2009.07.028
    [54] 徐佩芬,侍文,凌苏群,等,2012. 二维微动剖面探测“孤石”:以深圳地铁7号线为例[J]. 地球物理学报,55(6):2120-2128. doi: 10.6038/j.issn.0001-5733.2012.06.034
    [55] 徐佩芬,李世豪,杜建国,等,2013a. 微动探测:地层分层和隐伏断裂构造探测的新方法[J]. 岩石学报,29(5):1841-1845.
    [56] 徐佩芬,李世豪,凌甦群,等,2013b. 利用SPAC法估算地壳S波速度结构[J]. 地球物理学报,56(11):3846-3854.
    [57] 徐佩芬,杜亚楠,凌甦群,等,2020. 微动多阶瑞雷波SPAC系数反演方法及应用研究[J]. 地球物理学报,63(10):3857-3867. doi: 10.6038/cjg2020O0148
    [58] 徐义贤,罗银河,2015. 噪声地震学方法及其应用[J]. 地球物理学报,58(8):2618-2636
    [59] 杨天春,何继善,吕绍林,等,2004a. 三层层状介质中瑞利波的频散曲线特征[J]. 物探与化探,28(1):41-45.
    [60] 杨天春,何继善,吕绍林,等,2004b. 三层层状介质中的多导波模式及其频散和位移特征[J]. 物探化探计算技术,26(1):20-26.
    [61] 杨天春,肖巧玲,2009. 多层层状介质的瑞利面波频散特性[J]. 物探与化探,33(3):299-303.
    [62] 张碧星,鲁来玉,鲍光淑,2002. 瑞利波勘探中“之”字形频散曲线研究[J]. 地球物理学报,45(2):263-274. doi: 10.3321/j.issn:0001-5733.2002.02.013
    [63] 赵东,2010. 被动源面波勘探方法与应用[J]. 物探与化探,34(6):759-764.
    [64] 赵红鹏,何登科,洪雨,2022. 基于地质单元体的微动信号频散曲线反演[J]. 矿业科学学报,7(6):662-669.
    [65] 钟宙灿,蔡水库,刘巧霞,等,2023. SPAC法在海口江东新区新近纪-第四纪地层精细划分中的应用[J]. 科学技术与工程,23(36):15393-15403. doi: 10.12404/j.issn.1671-1815.2300424
  • 加载中
图(12) / 表(3)
计量
  • 文章访问数:  1349
  • HTML全文浏览量:  447
  • PDF下载量:  64
  • 被引次数: 0
出版历程
  • 收稿日期:  2024-05-20
  • 修回日期:  2024-11-01
  • 录用日期:  2024-11-12
  • 预出版日期:  2025-01-20
  • 刊出日期:  2025-02-27

目录

    /

    返回文章
    返回