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Generalized hydraulic geometry and multi-frequency downstream hydraulic geometry
of mountain rivers originated from the Qinghai-Tibet Plateau

1 1 1 1 1 2
QIN Chao ，WU Baosheng ，WANG Ge ，FU Xudong ，ZHAO Lu ，LI Dan
（1. State Key Laboratory of Hydroscience and Engineering，Tsinghua University，Beijing 100084，China；2. Emergency Science Research
Academy，China Coal Research Institute，China Coal Technology & Engineering Group Co.，Ltd.，Beijing 100013，China）

Abstract：Landforms of mountain rivers are determined by flowing water and sediment，and underlying sur⁃
face conditions including local geology， geomorphology， soil， vegetation et al. The alternatively distributed
bed rock constrained reaches and alluvial reaches of mountain rivers contributes to less consistent variation
in hydraulic parameters and flow discharges downstream. Whether there is stabilized hydraulic geometry is
an important question that need to be answered in the study of geomorphic evolution of mountain rivers.
In-situ measured hydrological and morphological data of 129 cross sections of six river systems originated
from the Qinghai Tibet Plateau （QTP） were used to fit DHG relations under bankfull condition. Relations
between downstream hydraulic geometry （DHG） coefficients and exponents under different discharge frequen⁃
cies were analyzed. Two conditions were considered： cross sections along the same river reach and cross
sections located in different reaches but in the same river basin. Multi-frequency downstream hydraulic ge⁃
ometry （MFDHG） was proposed and the significance of it was revealed in terms of spatial and temporal di⁃
mensions. Mountain rivers originated from the QTP exhibit strong DHG relations. Generalized hydraulic geom⁃
etry of mountain rivers refers to DHG of alluvial reaches disconnectedly located for mountain rivers.
Strength of width-DHG and depth-DHG are generally larger than velocity-DHG. Log-linear relations that
found for DHG coefficients and exponents under different discharge frequencies is defined as MFDHG. MFD⁃
HG of a river reach is generally stronger than that of a river basin. MFDHG extends multi spatial dimen⁃
sions of DHG in time dimensions. Results of this study enrich the hydraulic geometry theory and provide
basis for the study of spatial distributions of river morphology upon river systems.
Keywords：Qinghai-Tibet Plateau；mountain rivers；river landform；bankfull discharge；generalized hydrau⁃
lic geometry；multi-frequency downstream hydraulic geometry

（责任编辑：李福田）

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