地震记录相似性的小波属性度量方法研究

为了提高三维低频资料(主频15Hz~30Hz)断层检测精度,探讨了小波地震属性与相干结合的检测方法。当断层的水平断距小,断层二侧地震记录的波形特征相似时,单靠相干方法已不能明显地反映断层。针对此问题,分析了多种相似性度量方法,最后从地震属性方法出发,提出基于小波属性体的相干方法改善检测效果。实际资料处理表明了该方法的合理性和实用性,不仅更细致地度量了相似性,还为地震勘探量化参数的精细分析提供了一条思路。     

基于小波包变换的面波分离技术研究

依据面波视速度的分布范围,提出一种新的叠前面波分离技术,即把地震波场分成不受面波影响的波场和受面波影响的波场,然后利用小波包变换对受面波影响的波场进行时频分析,通过分解与重构,从中提取有效波,再将其与不受面波影响的波场合并,就可得到面波分离后的地震波场。该方法在成功分离面波的同时,可使有效波的能量(尤其是其低频能量)不受损失,既有效地保持信号的频宽不变,又提高了记录的信噪比。实际资料的处理结果表明:此方法在叠前面波分离方面具有有良好的效果。     

Effect of wellbore storage and finite thickness skin on flow to a partially penetrating well in a phreatic aquifer

An analytical model is presented for the analysis of constant flux tests conducted in a phreatic aquifer having a partially penetrating well with a finite thickness skin. The solution is derived in the Laplace transform domain for the drawdown in the pumping well, skin and formation regions. The time-domain solution in terms of the aquifer drawdown is then obtained from the numerical inversion of the Laplace transform and presented as dimensionless drawdown–time curves. The derived solution is used to investigate the effects of the hydraulic conductivity contrast between the skin and formation, in addition to wellbore storage, skin thickness, delayed yield, partial penetration and distance to the observation well. The results of the developed solution were compared with those from an existing solution for the case of an infinitesimally thin skin. The latter solution can never approximate that for the developed finite skin. Dimensionless drawdown–time curves were compared with the other published results for a confined aquifer. Positive skin effects are reflected in the early time and disappear in the intermediate and late time aquifer responses. But in the case of negative skin this is reversed and the negative skin also tends to disguise the wellbore storage effect. A thick negative skin lowers the overall drawdown in the aquifer and leads to more persistent delayed drainage. Partial penetration increases the drawdown in the case of a positive skin; however its effect is masked by the negative skin. The influence of a negative skin is pronounced over a broad range of radial distances. At distant observation points the influence of a positive skin is too small to be reflected in early and intermediate time pumping test data and consequently the type curve takes its asymptotic form.     

Radon变换在非规则观测系统中波场分离的应用

Radon变换是数据处理中广泛应用的一种方法技术.本文介绍了Radon变换在规则及其非规则观测系统中波场分离中应用,讨论了Radon变换的公式、实现方法和有关计算参数的选择.通过理论模型的试算,阐明了Radon变换在缺失道、道距变化情况下依然可以高精度的分离波场,并对线性、抛物Radon变换进行了比较,对隧道超前预报反射波资料进行了处理,给出了隧道超前预报处理流程中提取反射波的算例.     

台湾岛对气流扰动的影响

本文根据一个三维气流过山的模型,用数值快速傅里叶变换方法,讨论理想东北季风气流经过台湾岛产生的扰动气压场、扰动垂直速度场和水平流场.经与实际东北季风下台湾岛的气候特征进行比较,结果令人满意.     

三维F－K域DMO方法及应用效果

在常速情况下,从三维时距方程出发,通过倾角代换,将三维倾角时差分裂为两个正交方向上的二维倾角时差,然后在这两个正交方向上分别做一次二维倾角时差校正,便可达到三维倾角时差校正的目的．应用实例表明这种三维ＤＭＯ分裂方法是切实有效的．     

沿圆曲线的Radon变换数值解

研究具有紧支集且在支集内连续的二元函数沿上半圆曲线的Radon变换反演问题。基于对投影函数的Fourier变换,反演问题可以归结为具有弱奇性及震荡核的Abel积分方程的求解。我们证明了当圆曲线中心及半径在一定范围内变化时,在已知沿上半圆曲线的Radon变换情况下,这个积分方程的解具有唯一性,并给出了消除Abel积分方程弱奇性的数值方法。在考虑投影数据噪声的情况下,给出了多次加权改善系数矩阵条件数稳定的数值方法,并通过数值模拟验证所提出方法的有效性。     

Coherence algorithm with a high-resolution time–time transform and feature matrix for seismic data

Traditional coherence algorithms are often based on the assumption that seismic traces are stationary and Gaussian. However, seismic traces are actually non-stationary and non-Gaussian. A constant time window and the canonical correlation analysis in traditional coherence algorithms are not optimal for non-stationary seismic traces and cannot describe the similarity between adjacent seismic traces in detail. To overcome this problem, a new coherence algorithm using the high-resolution time–time transform and the feature matrix is designed. The high-resolution time–time transform used to replace the constant time window can produce a frequency-dependent time local series to analyse non-stationary seismic traces. The feature matrix, constructed by the frequency-dependent time local series and the related local gradients, defines a new correlation metric that enhances more details of the geological discontinuities in seismic images than does the canonical correlation analysis. Additionally, the Riemannian metric is introduced for related calculations because the feature matrices are not defined in a Euclidean space but rather in a manifold space. Application to field data illustrates that the proposed method reveals more details of structural and stratigraphic features.     

n—D Radon变换与波动方程偏移

本文把Ｒａｄｏｎ变换公式推广到任意ｎ维的情况。同时结合ｎ维Ｒａｄｏｎ变换和摄动理论提出了一种既能用于地面资料又能用于ＶＳＰ资料的偏移方法。     

3D高阶抛物Radon变换在不规则地震数据保幅重建中的应用

3D地震数据不规则采样缺失重建是地震勘探数据处理流程中的重要问题.本文提出了一种基于具有保幅特性的非均匀高阶抛物Radon变换（NHOPRT）地震数据重建方法.在最小二乘反演方程中引入Delaunay三角网格剖分来计算空间不规则加权系数,从而获得最接近完整规则数据的高阶抛物Radon变换域系数.在用SVD求解反演方程过程中,利用高阶抛物Radon变换算子在频率域为指数函数,具有线性可分解特性,将二维空间的高阶抛物Radon变换算子分解为两个独立的一维空间变换算子,减小了变换算子的矩阵大小,从而很大程度地提高了计算效率.理论模型和实际地震数据重建测试证明了本文方法的有效性以及实用性.