Based on the correlation analyses of such petrophysical properties as density,magnetic susceptibility,remnant magnetization,electrical resistivity,and chargeability for 3 000 samples from Hebei Province,the authors carried out a study on effective combinations of geophysical methods and found that geological survey with specific aim needs specific combination of geophysical methods.

From a new angle, this article studies inter-relations,rules of variation,algorithm and new expressing method of combination proportion, variance and ratio of profit cf the effective combination,mean and variance.

The sufficient and necessary condition for existing efficient portfolio is obtained,and also the analytic solutions of efficient portfolio and efficient frontier is derived,which generalize successfully the classic Markowitz model and are helpful to investigate portfolio efficient subset further.

At the present there exist three methods accepted to do the portfolio management, which are fundamental analysis, technological analysis and the modern portfolio analysis, we used the three different ways together in this dissertation to do the efficient portfolio management.

The hierarchical composition validity based on different abstract levels was discussed, and then a context- driven testing methodology aiming at the behavior of composition simulation model was proposed and the concept of context, the generation and embedding of testing framework an.