关键词: 磷灰石, 放射性(裂变径迹), 数值模拟, 地层, 地质历史, 地层温度

Abstract: The Australian fan model is adopted as a quantitative model of apatite fission track annealing in this paper.The fission track annealing at various temperatures is deaIt with by using the equivalent time principle. The length distribution of a number of fission tracks produced at a short time is approximated with Gauss density function and the total fission tracklength distribution is derived from the summation of sub-distributions of length of fissiontracks produced successively in geohistory to accomplish the simulation of fission tracklength distribution along certain temperature time path.By integrating the fission track length distribution simulation(forward modeling),erosion amount and heat flow factor of the strata can be calculated by using two dimensional optimization method,then the systematic simulation of burial history,heat flow history andgeothermal history is realized and the heat flow history is obtained by progressive linear simulation method in sections from present to past.The numerical sirnulation method presentedin the paper has been applied to study the data from Well Qiu 3 in Linqing depression with areasonably good result.

Key words: apatlte, radioactivity, fission track, numerical simulation, formation, geological history, formation temperature