南京大学学报(自然科学版)
南京大學學報(自然科學版)
남경대학학보(자연과학판)
Journal of Nanjing University (Natural Sciences)
2015年
6期
1279-1290
,共12页
阻尼作用%非饱和饱和系统%时间尺度性%分形%分数高斯噪声%分数布朗运动
阻尼作用%非飽和飽和繫統%時間呎度性%分形%分數高斯譟聲%分數佈朗運動
조니작용%비포화포화계통%시간척도성%분형%분수고사조성%분수포랑운동
damping effect%unsaturated-saturated system%temporal scaling%fractal%fractional Gaussian noise%fractional Brownian motion
通过分析非饱和饱和系统(USS)中压力水头的时空变化,定量刻画了 USS对水流波动的阻尼作用及地表入渗的时间尺度性指数(β)对该作用的影响。结果显示,USS对其中的水流具有阻尼/滤波作用,过滤掉水流的短期波动,使其波动减弱、短期相关性增强;阻尼作用随深度增加逐渐减弱,可能与土壤含水率有关;阻尼作用随入渗序列β值的增大而减弱;分数高斯噪声入渗引起的水头波动起初为非平稳波动最终为平稳波动,β越大,非平稳阶段越长;分数布朗运动入渗引起的水头波动为非平稳波动,β越大,非平稳性越强;入渗的时间分形性是引起地下水位分形波动的重要因素。
通過分析非飽和飽和繫統(USS)中壓力水頭的時空變化,定量刻畫瞭 USS對水流波動的阻尼作用及地錶入滲的時間呎度性指數(β)對該作用的影響。結果顯示,USS對其中的水流具有阻尼/濾波作用,過濾掉水流的短期波動,使其波動減弱、短期相關性增彊;阻尼作用隨深度增加逐漸減弱,可能與土壤含水率有關;阻尼作用隨入滲序列β值的增大而減弱;分數高斯譟聲入滲引起的水頭波動起初為非平穩波動最終為平穩波動,β越大,非平穩階段越長;分數佈朗運動入滲引起的水頭波動為非平穩波動,β越大,非平穩性越彊;入滲的時間分形性是引起地下水位分形波動的重要因素。
통과분석비포화포화계통(USS)중압력수두적시공변화,정량각화료 USS대수류파동적조니작용급지표입삼적시간척도성지수(β)대해작용적영향。결과현시,USS대기중적수류구유조니/려파작용,과려도수류적단기파동,사기파동감약、단기상관성증강;조니작용수심도증가축점감약,가능여토양함수솔유관;조니작용수입삼서렬β치적증대이감약;분수고사조성입삼인기적수두파동기초위비평은파동최종위평은파동,β월대,비평은계단월장;분수포랑운동입삼인기적수두파동위비평은파동,β월대,비평은성월강;입삼적시간분형성시인기지하수위분형파동적중요인소。
The damping effect of an unsaturated-saturated system (USS)on the fluctuations of water flow and the effect of the scaling exponent of infiltration (β)on the damping effect were investigated.The moment equations of the pressure head (ψ)were solved numerically to obtain the variance ofψat 7 observation points.Power spectrum ofψ(Sψψ)were estimated by directly solving the equations of the unsaturated-saturated system.Results show that USS filters out the short-term fluctuations ofψ,so the fluctuations ofψare weakened and the short-term correlation increases.The damping effect decreases with depth and should be soil moisture dependent.The damping effect decreases with the increase of the value ofβ.The fluctuations ofψare first non-stationary and finally stationary under the infiltration of fractional Gaussian noise and the larger the value ofβ,the longer the non-stationary period.The fluctuations ofψare non-stationary all the time under the infiltration of fractional Brownian motion and the larger the value ofβ,the stronger the non-stationarity.The temporal scaling is an important factor inducing the scaling of temporal fluctuations of groundwater levels.