一维热演化问题的解析解法及其动态模拟

盆地古地热场演化动态模拟是盆地油气成藏动态模拟的重要组成部分，而一维热演化模拟又是二维、三维热演化模拟的基础。本文研究并给出了非齐次边界条件、非齐次方程的一维热演化问题的解析解。利用该方法原理，可以对各种复杂条件下的地热演化过程进行模拟。例如，根据地表温度和软流圈温度，可以模拟出任意时刻、任意深度的热流值；又当地表温度和基底热流都时间的延续而改变时，可以模拟出任意时刻、任意深度的温度。通过模拟结果，还可以清楚地观察到放射性生热对温度、地温梯度、热流值的扰动以及它们之间的相互关系。

ANALYTIC SOLUTION AND DYNAMIC SIMULATION OF ONE-DIMENSION THERMAL EVOLUTION

The dynamic simulation of the Palaeo-geothermal evolution in a basin is an important component part of the dynamic simulation of the basin oil and gas pool. In addition, the simulation of one-dimension thermal evolution is also the foundation of simulation of the two-dimension and three-dimension thermal evolution. The research in this paper provides the nonhomogeneous boundary condition, and also the analytic solution to the one-dimension thermal evolution through the nonhomogeneous equation. This method can be applied to the simulation of the geothermal evolution process on various complex conditions. For example, the temperatures both on the earth surface and in the rheosphere can be applied to the simulation of the thermal fluid value at any moment and at any depth. Furthermore, the temperatures can also be applied, when the local temperatures on the earth surface and the thermal fluid in the basement vary with the time, to the simulation of the temperatures at any moment and at any depth. The simulation results show the radioactive thermal generation affects the temperature, geo-temperature gradients and the geofluid value disturbance and also the relationship between these factors.