摘要
From the mathematical studies, the conservative relationships of the depth integral areas of the linear well logs and the nonlinear well logs are derived: the depth integral area of a linear well log is not relevant to its vertical resolution, while the depth integral area of a nonlinear well log is closely related to its vertical resolution and the higher the resolution, the bigger the depth integral area. Then, the effects of the mathematical transformations on the above relationships are studied. Finally, the conservative relationships of the shale volume content log and the porosity log are derived for some given conditions.
From the mathematical studies, the conservative relationships of the depth integral areas of the linear well logs and the nonlinear well logs are derived: the depth integral area of a linear well log is not relevant to its vertical resolution, while the depth integral area of a nonlinear well log is closely related to its vertical resolution and the higher the resolution, the bigger the depth integral area. Then, the effects of the mathematical transformations on the above relationships are studied. Finally, the conservative relationships of the shale volume content log and the porosity log are derived for some given conditions.
基金
theNationalNaturalScienceFoundationofChina (GrantNo .492 0 0 4 0 0 )