In this paper,the laws of cross osmose and high unity in modern mathematics are discovered,some development tends are appraised.

A test method for measuring vertical permeability of thin layered reservoir is introduced in this paper.

The effects of the vertical permeability of the interbed, the interwell distance and the thickness of low-permeability layer on the development of low-permeability deposit was analyzed under different ways of oil exploitation.

To determine areal anisotropy in hydrocarbon reservoirs without tiring type-curve matching,a new method based on TDS(Tiab s direct synthesis) technique was presented to estimate the maximum and minimum directional permeability and its azimuth angle,average areal permeability as well as anisotropy degree.