CAJ | 학술논문

处于不同构造环境以及不同发育阶段的冲沟会呈现出不同的数学函数形态特征，常见的有线性函数、指数函数、对数函数以及乘幂函数等。它们反映了冲沟演化对发育时间、区域气候特征、河床基岩性质和构造运动等因素的响应。基于DEM数据提取了横跨霍山山前断裂带的64条冲沟，分析了冲沟纵剖面的拟合函数及其所反映的冲沟对断裂活动的响应特征。结果显示，横跨霍山山前断裂带的冲沟均表现为幼年期的线性函数形态或轻微下凹的指数函数形态，这反映了上新世以来霍山山前断裂带持续而强烈的正断层作用，尤其是全新世以来时间间隔较短的多次强烈活动。
처우불동구조배경이급불동발육계단적충구회정현출불동적수학함수형태특정，상견적유선성함수、지수함수、대수함수이급승멱함수등。타문반영료충구연화대발육시간、구역기후특정、하상기암성질화구조운동등인소적향응。기우DEM수거제취료횡과곽산산전단렬대적64조충구，분석료충구종부면적의합함수급기소반영적충구대단렬활동적향응특정。결과현시，횡과곽산산전단렬대적충구균표현위유년기적선성함수형태혹경미하요적지수함수형태，저반영료상신세이래곽산산전단렬대지속이강렬적정단층작용，우기시전신세이래시간간격교단적다차강렬활동。
Longitudinal profiles of the gullies in different tectonic settings and different evolutionary sta-ges show different morphological forms which can be fitted ordinarily by such mathematical functions as linear function,exponential function,logarithmic function and power function.These forms reflect the re-sponse of the gullies to the factors such as the time,the climate,the bedrock of the riverbed and the tec-tonic movement.Based on DEM data,64 gullies across the Huoshan piedmont fault are extracted and their profiles are fitted by four types of mathematical functions above.The best-fitting mathematical func-tion for each gully is selected and the responding characteristics of the gullies to the tectonic movement of the fault are analyzed.The result shows that the gullies are in their infancy which is exhibited by their linear forms or the exponential forms with very small concavity.This is due to the response of the gullies to the constant normal-fault movement of the Huoshan piedmont fault since Pliocene, especially the strong activities with short interval in Holocene.