地质历史时期海平面变化曲线的数学模型

地层层序是古海平面变化的信息记录载体, 有效容纳空间(C(t))是地层层序的堆积场所, 是海平面变化(L(t))、构造沉降(Y(t)) 和地质时间(t) 的函数.通过对上扬子地台西缘二叠—三叠系层序地层学研究, 在总结前人海平面变化曲线研究方法的基础上, 建立了海平面变化曲线的数学模型(数学地质模型和数学函数模型), 即首先创立海平面变化曲线的数学地质模型: C(t) =L(t)+Y(), 进而提出了海平面变化曲线的数学函数模型.运用该模型定量编制了上扬子地台西缘二叠—三叠纪海平面变化曲线. 

MATHEMATICAL MODEL OF SEA-LEVEL CHANGE CURVES IN GEOLOGICAL HISTORY

The stratigraphical sequences are considered as a medium to record sea_level changes. The effective accommodation space ( C(t) ), an accumulation strata for stratigraphic sequences, is a function of sea_level changes ( L(t) ), tectonic subsidence ( Y(t) ) and geological time ( t ). The research into the Permian-Triassic sequence stratigraphy in the western margin of the Upper Yangtze block, and the summary of previous research methods for the sea_level change curves both have been employed to establish the mathematical model of sea_level change curves, including mathematical geological model and mathematical function model. Firstly, the mathematical geological model of sea_level change curves: C(t) = L(t) + Y(t) is established, then the mathematical function model is proposed. The mathematical model has been used to compile quantitatively the Permian-Triassic seal_level change curves on the western margin of the Upper Yangtze block.