双调和样条内插方法在测井和地震资料整合中的应用
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摘要
利用格林函数,研究了双调和样条内插方法的原理及特点,推导了一维空间到多维空间双调和样条内插公式。这种算法的一种特点是滤波的曲率最小。在运用双调和样条内插方法的基础上,利用网格节点值会聚算法,把网格节点的值向着被它们包围的测井构造数据处的值的趋近、会聚,将分散的各口井的测井构造数据以一定的形式影响、改变附近的地震构造数据。从而,实现了测井数据和地震数据的整合。通过胜利油田永3断块典型的复杂构造油气藏测井和地震数据的应用实例,并对其地质效果进行了讨论,证明了双调和样条内插方法的有效性。实际应用地实例显示,采用双调和样条插值算法,基于高精度三维地震数据作出的构造图的分辨率较高的特性,较好克服了单纯利用测井资料作出的构造图的分辨率较低而产生的误解。双调和样条插值算法,较好地解决了这两种资料在预测地层构造面中的有效整合,消除了单一资料的不确定性,使预测结果更准确、更合理。
By employing Green,s function,the principle and pattern of biharmonic spline interpolation are studied,and the formulas of one to multiple dimensional biharmonic spline interpolation are deduced.One feature of this algorithm is its minimal filter curvature.On a basis of applying the biharmonic spline interpolation,a convergence algorithm of grid node value is used to approximate the grid-node values to their surrounded values at logging structure data,and to make the separate logging structure data in every well impact and change adjacent seismic structure data in a certain way,therefore resulting in an integration of logging and seismic data.The effect of this biharmonic spline interpolation has been verified by its application in the typical complex reservoir in Yong-3 faulted block,Shengli oilfield.The application results indicated that the structural maps produced by this method on a basis of 3D seismic data with high precision can well avoid mistakes in the structural maps with lower resolution produced by only using logging data,due to higher resolution of the former maps.This method of biharmonic spline interpolation can effectively integrate seismic data with logging data in predicting stratigraphic-structural surfaces,and eliminate the uncertainties resulter from using a single type of data,thus making the prediction more accurate and reliable.
By employing Green,s function,the principle and pattern of biharmonic spline interpolation are studied,and the formulas of one to multiple dimensional biharmonic spline interpolation are deduced.One feature of this algorithm is its minimal filter curvature.On a basis of applying the biharmonic spline interpolation,a convergence algorithm of grid node value is used to approximate the grid-node values to their surrounded values at logging structure data,and to make the separate logging structure data in every well impact and change adjacent seismic structure data in a certain way,therefore resulting in an integration of logging and seismic data.The effect of this biharmonic spline interpolation has been verified by its application in the typical complex reservoir in Yong-3 faulted block,Shengli oilfield.The application results indicated that the structural maps produced by this method on a basis of 3D seismic data with high precision can well avoid mistakes in the structural maps with lower resolution produced by only using logging data,due to higher resolution of the former maps.This method of biharmonic spline interpolation can effectively integrate seismic data with logging data in predicting stratigraphic-structural surfaces,and eliminate the uncertainties resulter from using a single type of data,thus making the prediction more accurate and reliable.
引文
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3胡水清,韩大匡,夏吉庄.高含水期地震约束储层建模技术[J].石油与天然气地质,2008,29(1):128~134
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5尤少燕,时应敏,乔玉雷.利用多尺度资料进行油藏地质建模[J].油气地质与采收率,2005,12(3):15~17
6 Lennert d B,Doyen P,Rothenhofer H.3-D seismic porosity model-ing using a new form of cokriging[J].World Oil,1999,220(5):77-80
7王家华,周叶.利用测井数据和地震数据结合的方法绘制地层等深图——贝叶斯克里格技术的应用[A].中国地质学会数学地质专业委员会主编,中国数学地质(2)[C].北京:地质出版社,1990.5~11
8祝渊陵.弹性力学平面问题的双调和方程的格林函数解法[J].荆州师专学报(自然科学版),1999,22(2):12~14
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10李军,熊利平,赵为永,等.基于确定性和随机模型的薄储层岩性预测[J].石油与天然气地质,2009,30(2):240~244
11刘景亮.准噶尔盆地车2井区储层建模[J].石油与天然气地质,2008,29(4):537~542
2 Roncaglia L,Morgans H E G,Arnot M J,et al.Stratigraphy,wellcorrelation and seismic-to-well tie in the Upper Cretaceous to Pli-ocene interval in the Kupe region,Taranaki Basin,New Zealand[A].Introduction to the stratigraphic database in petrulem[C].In:Lower Hutt.NewZealand:GNS Science Report,2008,(7):39
3胡水清,韩大匡,夏吉庄.高含水期地震约束储层建模技术[J].石油与天然气地质,2008,29(1):128~134
4刘文岭.地震约束储层地质建模技术[J].石油学报,2008,29(1):64~68
5尤少燕,时应敏,乔玉雷.利用多尺度资料进行油藏地质建模[J].油气地质与采收率,2005,12(3):15~17
6 Lennert d B,Doyen P,Rothenhofer H.3-D seismic porosity model-ing using a new form of cokriging[J].World Oil,1999,220(5):77-80
7王家华,周叶.利用测井数据和地震数据结合的方法绘制地层等深图——贝叶斯克里格技术的应用[A].中国地质学会数学地质专业委员会主编,中国数学地质(2)[C].北京:地质出版社,1990.5~11
8祝渊陵.弹性力学平面问题的双调和方程的格林函数解法[J].荆州师专学报(自然科学版),1999,22(2):12~14
9杨化斌,王家华.最小张力法在地层面光滑显示中的应用[J].西安石油学院学报,2003,17(2):83~85
10李军,熊利平,赵为永,等.基于确定性和随机模型的薄储层岩性预测[J].石油与天然气地质,2009,30(2):240~244
11刘景亮.准噶尔盆地车2井区储层建模[J].石油与天然气地质,2008,29(4):537~542
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