发明名称 REMOVAL OF NOISE FROM SEISMIC DATA USING IMPROVED TAU-P FILTERS
摘要 Methods of processing seismic data to remove unwanted noise from meaningful reflection signals are provided for. The seismic data is transformed from the offset-time domain to the time-slowness domain using a Radon transformation. A high-low, preferably a time variant, high low corrective filter is then applied to enhance the primary reflection signal content of the data and to eliminate unwanted noise events. The tau-P filter is defined by reference to the velocity function of the primary reflection signals, and preferably is expressed as: <math-cwu id="MATH-US-00001"> <NUMBER>1</NUMBER> <MATH> <MROW> <MFRAC> <MN>1</MN> <MROW> <MSUB> <MI>v</MI> <MI>s</MI> </MSUB> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MN>1</MN> <MO>+</MO> <MSUB> <MI>r</MI> <MN>2</MN> </MSUB> </MROW> <MO>)</MO> </MROW> </MROW> </MFRAC> <MO>≤</MO> <MI>p</MI> <MO>≤</MO> <MFRAC> <MN>1</MN> <MROW> <MSUB> <MI>v</MI> <MI>s</MI> </MSUB> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MN>1</MN> <MO>-</MO> <MSUB> <MI>r</MI> <MN>1</MN> </MSUB> </MROW> <MO>)</MO> </MROW> </MROW> </MFRAC> </MROW> </MATH> <mathematica-file id="MATHEMATICA-00001" file="US20040049349A1-20040311-M00001.NB"/> <image id="EMI-M00001" wi="216.027" he="18.00225" file="US20040049349A1-20040311-M00001.TIF" imf="TIFF" ti="MF"/> </MATH-CWU> where r1 and r2 are percentages expressed as decimals. The slowness limits typically are set within ±15% of the velocity function, and r1 and r2 may be set accordingly. After filtering, the enhanced signal content is inverse transformed from the time-slowness domain back to the offset-time domain using an inverse Radon transformation. Suitable forward and reverse Radon transformations incorporating an offset weighting factor x'' and its inverse p'', where 0<n<1, include the following continuous transform equations, and discrete versions thereof that approximate the continuous transform equations: <math-cwu id="MATH-US-00002"> <NUMBER>2</NUMBER> <MATH> <MTABLE> <MTR> <MTD> <MROW> <MROW> <MROW> <MI>u</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MI>p</MI> <MO>,</MO> <MI>tau</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MROW> <MSUBSUP> <MO>∫</MO> <MROW> <MO>-</MO> <MI>∞</MI> </MROW> <MI>∞</MI> </MSUBSUP> <MO>⁢</MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO>⁢</MO> <MROW> <MROW> <MO>ⅆ</MO> <MI>x</MI> </MROW> <MO>⁢</MO> <MROW> <MSUBSUP> <MO>∫</MO> <MROW> <MO>-</MO> <MI>∞</MI> </MROW> <MI>∞</MI> </MSUBSUP> <MO>⁢</MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO>⁢</MO> <MROW> <MROW> <MO>ⅆ</MO> <MI>t</MI> </MROW> <MO>⁢</MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO>⁢</MO>
申请公布号 US2004049349(A1) 申请公布日期 2004.03.11
申请号 US20020238461 申请日期 2002.09.10
申请人 WOOD LAWRENCE C. 发明人 WOOD LAWRENCE C.
分类号 G01V1/36;(IPC1-7):G01V1/00 主分类号 G01V1/36
代理机构 代理人
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