GPS授时地震仪走时误差校正

第43卷第3期煤田地质与勘探Vol.43No.32015年6月COALGEOLOGY&EXPLORATIONJun.2015收稿日期:2013-11-24基金项目:(2012BAK04B04)(2011ZX05040-002)作者简介:(1985—)[e-mail]引用格式:.GPS[J].201543(3)91–94.文章编号:1001-1986(2015)03-0091-04GPS授时地震仪走时误差校正王云宏，江浩，王盼，吴海(中煤科工集团西安研究院有限公司，陕西西安710077):受制造成本和工艺的限制，GPS授时地震仪中的守时晶振不可避免地会有频率误差，继而在数据采集过程中，随着采集时间的增加，各台站之间会出现采集不同步现象。介绍了Akima分段多项式插值重采样方法及其在GPS授时地震仪时间校正中的应用。通过对理论数据与实际数据的Akima插值重采样试验表明，Akima插值重采样方法可应用于GPS授时地震仪走时误差校正，是一种简便、高效、保形性好的插值重采样方法。：Akima插值；GPS授时地震仪；晶振；时间校正：P631：ADOI:10.3969/j.issn.1001-1986.2015.03.018CorrectionoftraveltimeerrorofseismographwithGPSclockWANGYunhong,JIANGHao,WANGPan,WUHai(Xi′anResearchInstitute,ChinaCoalTechnologyandEngineeringGroupCorp,Xi′an710077,China)Abstract:Becauseofconstraintsofmanufacturingcostsandprocess,timingcrystalinseismographwithGPSclockhasinevitablyfrequencyerror.So,intheprocessofdataacquisition,withtheincreaseinacquisitiontime,non-synchronousphenomenonoccursbetweenacquisitionstations.ThepaperdescribestheAkimapiecewisepolynomialinterpolationresamplingmethodanditsapplicationintimecorrectionofseismographGPSclock.AkimainterpolationbytheoreticaldataandactualdataresamplingtestshowedthatAkimainterpolationresamplingmethodcanbeappliedtotraveltimeerrorcorrectionofseismographwithGPStime,isasimple,efficient,goodshaperetentioninterpolationresamplingmethod.Keywords:Akimainterpolation;seismographwithGPSclock;crystaloscillator;timecorrectionGPS[1-2]GPSGPSGPS[2]GPSGPSGPSa.b.c.d.GPS[3]GPSAkima4GPS·92·煤田地质与勘探第43卷1问题的提出GPSGPS1GPS1a5ms1b6h51GPSFig.1Theout-syncacquisitionofseismographwithGPSclock2521ms1.00001msx(t)h(t)1.00001msx(t)Akima1msh(t)2Fig.2Thecurveoftraveltimeerrorindifferentinstrument2Akima插值方法原理[3-6]Akima21Akima()(),1,2,3,,1iixyin=⋅⋅⋅-()yfx=()iiyfx=[3]ix1ix+41111()()iiiiiiiiyfxyfxytyt++++ì=ïïïï=ïïíï¢=ïïï¢ï=ïî1,iixx+éùëû230123()()()()kkksxssxxsxxsxx=+-+-+-(1)1([,])kkxxxx+Î1,(iixxk+éù=ëû0,1,,2)n⋅⋅⋅-012112311(32)()(2)()kkkkkkkkkkkksystsmttxxsttmxx++++ü=ïïïï=ïïý=---ïïïïï=---ïþ(2)(1)(2)3Akima走时校正方法GPSAkimaa.GPS第3期王云宏等:GPS授时地震仪走时误差校正·93·b.c.Akima3aGPS1.0ms1.1ms1.0ms1.0ms2.0ms,,(×)1.1ms1.0msAkimaAkima3b●—×—3AkimaFig.3Akimatraveltimecorrectionprinciple4算例Akima(1)(2)C++4sin(3t)tÎ[–1.05,1.05]4a10.0520.010.0624b5a20.05Akima4b12Akima20.01120.9999999424sin(3t)AkimaFig.4Akimainterpolationexperimentofsin(3t)functionAkimaGPSGPSAkim5a1GPS(1ms)272h(1ms)5(37ms)1.42768×10-7ms5b5a2Akima5a5b120.9231·94·煤田地质与勘探第43卷5GPSAkimaFig.5AkimainterpolationexperimentofseismographwithGPSclock5结论a.AkimaGPSb.AkimaGPS参考文献[1].[J].201146(6)995–1011.[2].GPS()[J].200616(1)1–7.[3].Akima[J].200428(2)112–114.[4]AKIMAH.Anewmethodofinterpolationandsmoothcurvefit-tingbasedonlocalprocedures[J].J.ACM197017(4)589–602.[5].Akima[J].19981(3)31–34.[6].(C)[M].2004.[7].GPS[J].2010(4)23–24.(责任编辑宋震炎)2015年煤炭安全高效开采地质保障技术研讨会暨征文通知20159[e-mail][e-mail]