基于压缩感知的多跳地震数据采集技术与方法

林君, 张晓普, 王俊秋, 龙云. 2017. 基于压缩感知的多跳地震数据采集技术与方法. 地球物理学报, 60(11): 4194-4203, doi: 10.6038/cjg20171107
引用本文: 林君, 张晓普, 王俊秋, 龙云. 2017. 基于压缩感知的多跳地震数据采集技术与方法. 地球物理学报, 60(11): 4194-4203, doi: 10.6038/cjg20171107
LIN Jun, ZHANG Xiao-Pu, WANG Jun-Qiu, LONG Yun. 2017. The techniques and method for multi-hop seismic data acquisition based on compressed sensing. Chinese Journal of Geophysics (in Chinese), 60(11): 4194-4203, doi: 10.6038/cjg20171107
Citation: LIN Jun, ZHANG Xiao-Pu, WANG Jun-Qiu, LONG Yun. 2017. The techniques and method for multi-hop seismic data acquisition based on compressed sensing. Chinese Journal of Geophysics (in Chinese), 60(11): 4194-4203, doi: 10.6038/cjg20171107

基于压缩感知的多跳地震数据采集技术与方法

  • 基金项目:

    国家深部探测专项(201011081)、国家自然科学基金(41404097)、吉林省青年科研基金项目(20150520071JH)和中国博士后面上基金(2015M571366)联合资助

详细信息
    作者简介:

    林君, 男, 1954年生, 吉林通化人, 教授, 博士生导师, 现任吉林大学仪器科学与电气工程学院院长, 长期从事地球物理探测技术及仪器研究.E-mail:lin_jun@jlu.edu.cn

    通讯作者: 龙云, 男, 1986年生, 青海门源人, 博士, 讲师, 主要从事地球物理数据处理方向的研究.E-mail:longy@jlu.edu.cn
  • 中图分类号: P631

The techniques and method for multi-hop seismic data acquisition based on compressed sensing

More Information
  • 随着油气地震勘探目标的复杂程度日益提高,地震数据采集系统的道容量也需要得到进一步的提升.本文根据压缩感知、稀疏表示等理论,提出了一种多跳恒传输量的数据采集框架,以减少每条测线上地震数据的传输量,进而提升采集系统的道容量.为了能够明显地提高带道能力,设计了基于有序并行原子更新的字典学习算法,该算法能够在计算量较小的前提下有效的得到相应数据的稀疏变换矩阵.基于压缩感知的多跳地震数据采集方法已能够在吉林大学研制的无缆自定位地震仪中实现.本文最后使用一组仿真数据和一组实测数据进行测试,其结果表明,数据采集信噪比控制在14 dB以上(引入噪声约18%)时,最多可以将系统的道容量提高3倍以上.

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  • 图 1 

    常规地震数据采集

    Figure 1. 

    Schematic diagram of conventional seismic data acquisition

    图 2 

    基于压缩感知的数据采集

    Figure 2. 

    Schematic diagram of seismic data acquisition based on compressed sensing (CS)

    图 3 

    原始模拟地震数据

    Figure 3. 

    Original synthetic data

    图 4 

    (a) 初始字典的系数及其幅值衰减条件对比; (b)字典学习后稀疏系数及其幅值衰减条件对比

    Figure 4. 

    (a) Coefficient of initial dictionary and its amplitude-decaying condition; (b) Coefficient of learned dictionary and its amplitude-decaying condition

    图 5 

    (a) 经压缩感知采集后恢复出的地震数据; (b)恢复地震数据与原始地震数据的误差

    Figure 5. 

    (a) Recovered data from CS acquisition; (b) Difference between recovered data and original data

    图 6 

    (a) 实测得到的原始地震数据; (b)经压缩感知采集后恢复出的地震数据

    Figure 6. 

    (a) Original measured seismic data; (b) Recovered data collected by CS

  •  

    Aharon M, Elad M, Bruckstein A. 2006. K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation. IEEE Transactions on Signal Processing, 54(11): 4311-4322. doi: 10.1109/TSP.2006.881199

     

    Baraniuk R, Davenport M, DeVore R, et al. 2008. A simple proof of the restricted isometry property for random matrices. Constructive Approximation, 28(3): 253-263. doi: 10.1007/s00365-007-9003-x

     

    Baraniuk R G. 2011. More is less: signal processing and the data deluge. Science, 331(6018): 717-719. doi: 10.1126/science.1197448

     

    Candes E J, Romberg J, Tao T. 2006. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Transactions on Information Theory, 52(2): 489-509. doi: 10.1109/TIT.2005.862083

     

    Candes E J, Tao T. 2005. Decoding by linear programming. IEEE Transactions on Information Theory, 51(12): 4203-4215. doi: 10.1109/TIT.2005.858979

     

    Candes E J, Wakin M B. 2008. An introduction to compressive sampling. IEEE Signal Processing Magazine, 25(2): 21-30. doi: 10.1109/MSP.2007.914731

     

    Chartrand R, Staneva V. 2008. Restricted isometry properties and nonconvex compressive sensing. Inverse Problems, 24(3): 035020. doi: 10.1088/0266-5611/24/3/035020

     

    Chen S C, Chen G X, Wang H C. 2015. The preliminary study on high efficient acquisition of geophysical data with sparsity constraints. Geophysical Prospecting for Petroleum (in Chinese), 54(1): 24-35. http://en.cnki.com.cn/Article_en/CJFDTotal-SYWT201501004.htm

     

    Cohen A, Dahmen W, Devore R. 2009. Compressed sensing and best k-term approximation. Journal of the American Mathematical Society, 22(1): 211-231. http://www.jstor.org/stable/40587229

     

    Crice D. 2014. A cable-free land seismic system that acquires data in real time. First Break, 32(1): 97-100. http://www.earthdoc.org/publication/publicationdetails/?publication=72600

     

    Donoho D L. 2006. Compressed sensing. IEEE Transactions on Information Theory, 52(4): 1289-1306. doi: 10.1109/TIT.2006.871582

     

    Donoho D L, Tsaig Y, Drori I, et al. 2012. Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. IEEE Transactions on Information Theory, 58(2): 1094-1121. doi: 10.1109/TIT.2011.2173241

     

    Duarte-Carvajalino J M, Sapiro G. 2009. Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. IEEE Transactions on Image Processing, 18(7): 1395-1408. doi: 10.1109/TIP.2009.2022459

     

    Ellis R. 2014. Current cabled and cable-free seismic acquisition systems each have their own advantages and disadvantages — Is it possible to combine the two?. First Break, 32(1): 91-96. http://www.earthdoc.org/publication/publicationdetails/?publication=72599

     

    Engan K, Aase S O, Husøy J H. 2000. Multi-frame compression: theory and design. Signal Processing, 80(10): 2121-2140. doi: 10.1016/S0165-1684(00)00072-4

     

    Figueiredo M A T, Nowak R D, Wright S J. 2007. Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. IEEE Journal of Selected Topics in Signal Processing, 1(4): 586-597. doi: 10.1109/JSTSP.2007.910281

     

    Geng Y, Wu R S, Gao J H. 2009. Dreamlet transform applied to seismic data compression and its effects on migration.//SEG Technical Program Expanded Abstracts 2009. SEG, 3640-3644.http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SEGEAB000028000001003640000001&idtype=cvips&gifs=Yes

     

    Ghahremani M, Ghassemian H. 2015. Remote sensing image fusion using ripplet transform and compressed sensing. IEEE Geoscience and Remote Sensing Letters, 12(3): 502-506. doi: 10.1109/LGRS.2014.2347955

     

    Heath B. 2012. Seismic of tomorrow: configurable land systems. First Break, 30(6): 93-102. http://www.earthdoc.org/publication/publicationdetails/?publication=60043

     

    Herrmann F J. 2010. Randomized sampling and sparsity: Getting more information from fewer samples. Geophysics, 75(6): WB173-WB187.

     

    Herrmann F J, Friedlander M, Yilmaz O. 2012. Fighting the curse of dimensionality: compressive sensing in exploration seismology. IEEE Signal Processing Magazine, 29(3): 88-100. doi: 10.1109/MSP.2012.2185859

     

    Keho T H, Kelamis P G. 2012. Focus on land seismic technology: The near-surface challenge. The Leading Edge, 31(1): 62-68. doi: 10.1190/1.3679329

     

    Lansley M. 2013. Shifting paradigms in land data acquisition. First Break, 31(1): 73-77. http://www.earthdoc.org/publication/publicationdetails/?publication=66024

     

    Leinonen M, Codreanu M, Juntti M. 2015. Sequential compressed sensing with progressive signal reconstruction in wireless sensor networks. IEEE Transactions on Wireless Communications, 14(3): 1622-1634. doi: 10.1109/TWC.2014.2371017

     

    Li K, Ma C W, Li Y, et al. 2013. Survey on Reconstruction Algorithm Based on Compressive Sensing. Infrared and Laser Engineering (in Chinese), 42(S1): 225-232. http://en.cnki.com.cn/Article_en/CJFDTotal-HWYJ2013S1044.htm

     

    Li S C, Xu L D, Wang X H. 2013. Compressed sensing signal and data acquisition in wireless sensor networks and internet of things. IEEE Transactions on Industrial Informatics, 9(4): 2177-2186. doi: 10.1109/TII.2012.2189222

     

    Liu X Y, Zhu Y M, Kong L H, et al. 2015. CDC: Compressive data collection for wireless sensor networks. IEEE Transactions on Parallel and Distributed Systems, 26(8): 2188-2197. doi: 10.1109/TPDS.2014.2345257

     

    Monk D. 2006. Advances in seismic acquisition.//CSEG Annual Meeting. CSEG.

     

    Ravelomanantsoa A, Rabah H, Rouane A. 2015. Compressed sensing: A simple deterministic measurement matrix and a fast recovery algorithm. IEEE Transactions on Instrumentation and Measurement, 64(12): 3405-3413. doi: 10.1109/TIM.2015.2459471

     

    Ravishankar S, Bresler Y. 2013. Learning sparsifying transforms. IEEE Transactions on Signal Processing, 61(5): 1072-1086. doi: 10.1109/TSP.2012.2226449

     

    Rubinstein R, Bruckstein A M, Elad M. 2010. Dictionaries for sparse representation modeling. Proceedings of the IEEE, 98(6): 1045-1057. doi: 10.1109/JPROC.2010.2040551

     

    Rubinstein R, Zibulevsky M, Elad M. 2008. Efficient implementation of the K-SVD algorithm using batch orthogonal matching pursuit. Haifa: Israel Institute of Technology.

     

    Sadeghi M, Babaie-Zadeh M, Jutten C. 2013. Dictionary learning for sparse representation: a novel approach. IEEE Signal Processing Letters, 20(12): 1195-1198. doi: 10.1109/LSP.2013.2285218

     

    Sadeghi M, Babaie-Zadeh M, Jutten C. 2014. Learning overcomplete dictionaries based on atom-by-atom updating. IEEE Transactions on Signal Processing, 62(4): 883-891. doi: 10.1109/TSP.2013.2295062

     

    Serra J G, Testa M, Molina R, et al. 2017. Bayesian K-SVD using fast variational inference. IEEE Transactions on Image Processing, 26(7): 3344-3359. doi: 10.1109/TIP.2017.2681436

     

    Tropp J A, Gilbert A C. 2007. Signal recovery from random measurements via orthogonal matching pursuit. IEEE Transactions on Information Theory, 53(12): 4655-4666. doi: 10.1109/TIT.2007.909108

     

    Vidal R, Ma Y, Sastry S. 2005. Generalized principal component analysis (GPCA). IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(12): 1945-1959. doi: 10.1109/TPAMI.2005.244

     

    Wang H C. 2015. Theoretical research on methods of high efficient seismic data acquisition [Ph. D.] (in Chinese). Hangzhou: Zhejiang University.http://cdmd.cnki.com.cn/Article/CDMD-10335-1015321855.htm

     

    Yang H Y. 2009. The research and development of self-positioning non-cable seismic instrument for complex mountain region [Ph. D.] (in Chinese). Changchun: Jilin University.http://cdmd.cnki.com.cn/Article/CDMD-10183-2009092302.htm

     

    Zhang G H, Mathar R, Zhou Q. 2016. Deterministic bipolar measurement matrices with flexible sizes from Legendre sequence. Electronics Letters, 52(11): 928-930. doi: 10.1049/el.2016.0765

     

    Zhang L H. 2007. Study on data transmission techniques based on relay Ethernet in seismic exploration using vibroseis [Ph. D.] (in Chinese). Changchun: Jilin University.http://cdmd.cnki.com.cn/Article/CDMD-10183-2007095898.htm

     

    Zhang X P. 2016. Research and design of hybrid communication system for land seismic acquisition equipments [Master's thesis] (in Chinese). Changchun: Jilin University.http://cdmd.cnki.com.cn/Article/CDMD-10183-1016089575.htm

     

    Zhang Y D, Dong Z C, Phillips P, et al. 2015. Exponential Wavelet Iterative Shrinkage Thresholding Algorithm for compressed sensing magnetic resonance imaging. Information Sciences, 322: 115-132. doi: 10.1016/j.ins.2015.06.017

     

    Zhao H, Ye H, Wang R Y. 2016. The construction of measurement matrices based on block weighing matrix in compressed sensing. Signal Processing, 123: 64-74. doi: 10.1016/j.sigpro.2015.12.016

     

    陈生昌, 陈国新, 王汉闯. 2015.稀疏性约束的地球物理数据高效采集方法初步研究.石油物探, 54(1): 24-35. http://www.cnki.com.cn/Article/CJFDTOTAL-SYWT201501004.htm

     

    李珅, 马彩文, 李艳等. 2013.压缩感知重构算法综述.红外与激光工程, 42(S1): 225-232. http://www.cnki.com.cn/Article/CJFDTOTAL-HWYJ2013S1044.htm

     

    王汉闯. 2015. 地震数据高效采集方法理论研究[博士论文]. 杭州: 浙江大学.http://cdmd.cnki.com.cn/Article/CDMD-10335-1015321855.htm

     

    杨泓渊. 2009. 复杂山地自定位无缆地震仪的研究与实现[博士论文]. 长春: 吉林大学.http://cdmd.cnki.com.cn/Article/CDMD-10183-2009092302.htm

     

    张林行. 2007. 基于接力式以太网的可控震源地震勘探数据传输技术研究[博士论文]. 长春: 吉林大学.http://cdmd.cnki.com.cn/Article/CDMD-10183-2007095898.htm

     

    张晓普. 2016. 陆上地震采集装备混合通讯系统的研究与设计[硕士论文]. 长春: 吉林大学.http://cdmd.cnki.com.cn/Article/CDMD-10183-1016089575.htm

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出版历程
收稿日期:  2016-12-23
修回日期:  2017-09-02
上线日期:  2017-11-05

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