摘要
在相邻两厚层的界面上,所有测井曲线均是从一个值过渡到另一个值。测井方法不同,相应的测井曲线的过渡形状有差别。基于测井网络的概念将这些测井曲线归一为0到1的函数后,该函数就是测井网络的单位阶跃响应,也是纵向积分几何因子,对该函数求导数则得到纵向微分几何因子,这样的几何因子适合于所有测井方法。对于不同测井方法所满足的Maxwell方程、波动方程以及扩散方程,用偏微分方程的逐次逼近解法求解,均能够获得接收位置响应的0级和1级修正解。井条件下的几何因子主要描述测井曲线的纵向变化特征,其中包含了井的影响,用该几何因子设计测井曲线高分辨处理方法时考虑了井的影响;拓展后的Doll几何因子还可描述地层径向物理参数对测井响应的贡献,在测井方法的探测深度研究、新测井仪器结构设计方面能发挥重要作用。从测井曲线和微分方程2个方面获得了适合大多数测井方法的几何因子。
Abstract： In the interface of two infinite homogeneous media, the logging response for any logging method is a variation from one value to another. Each logging curve has a spectral change shape. Using idea of logging network, this logging curves can he transformed in the range of 0 to 1. It is the response of the unit step function for logging network. This response is the vertical integral geometric factor. Its first derivative is the response of unit impulse input of logging network and is the vertical derivative geometric factor. This method can be used in any logging curves, so the geometric factor for any logging curve is existed. It is called geometric factor in the borehole. From the based derivative equation, for example Maxwell equation, wave equation and diffuse equation, the response for logging can be obtained by approach method step by step. In the approach calculation, the second order approximate is Doll geometric factor. So the Doll geometric factor is useful for many logging curves. These geometric factors can be used in longing tool design and logging curve process.
出处
《测井技术》
CAS
CSCD
北大核心
2013年第6期624-628,642,共6页
Well Logging Technology
基金
863计划(2007AA06Z226)
关键词
关键词
测井曲线
高分辨率
数据处理
几何因子
Doll几何因子
Key words： logging curve, high resolution, data processing, geometric factor, Doll geometric factor
