An overview of debris-flow mathematical modelling

被引:25
|
作者
German Trujillo-Vela, Mario [1 ,2 ,3 ]
Mariano Ramos-Canon, Alfonso [4 ]
Alberto Escobar-Vargas, Jorge [3 ]
Andres Galindo-Torres, Sergio [1 ,2 ]
机构
[1] Westlake Inst Adv Study, Inst Adv Technol, 18 Shilongshan St, Hangzhou 310024, Zhejiang, Peoples R China
[2] Westlake Univ, Sch Engn, 18 Shilongshan St, Hangzhou 310024, Zhejiang, Peoples R China
[3] Pontificia Univ Javeriana, Sch Engn, Ave Carrera 7 40-62, Bogota 110231, Colombia
[4] Univ Nacl Colombia, Sch Engn, Ave Carrera 30 45A-03, Bogota 111321, Colombia
关键词
Debris flows; Mathematical modelling; Model classification; Selection strategy; SMOOTHED PARTICLE HYDRODYNAMICS; HYPOPLASTIC CONSTITUTIVE MODEL; FLUID-STRUCTURE INTERACTION; 2 CALIBRATION PARAMETERS; DEPTH-AVERAGED MODELS; FINITE-VOLUME SOLVER; NUMERICAL-SIMULATION; GRANULAR AVALANCHES; SIZE SEGREGATION; SPH MODEL;
D O I
10.1016/j.earscirev.2022.104135
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
Debris flows are among the most catastrophic natural phenomena, attracting the interest of researchers, engi-neers and government agencies. The complexity of the physical process has led to the development of numerous mathematical models to simulate and deeper understand the propagation of debris flows. Nevertheless, the intrinsic characteristics of models are not all suitable for every process observed in nature. Hence, this review identifies the main features of the different modelling approaches for debris flows and proposes recommenda-tions for a more rigorous selection of models. The classification of the models is based on the following features: (1) phases of the flow; (2) entrainment of materials into the flow; (3) constitutive relationships; (4) spatial dimensionality; and (5) the solution methods. We discuss the advantages and limitations of the most remarkable contributions by comparing the available mathematical models for debris flows based on each feature. A se-lection strategy is proposed to be supported by the main assumptions of the models, the classification features and some dimensionless numbers evoked in debris flow research. As a result of this review, the principal con-siderations can be summarised as follows. First, the complexity of the models has been increasing with the enhanced understanding of debris flows and advances in technology. Thus, the multiphase approach, more so-phisticated constitutive relationships, three-dimensional representations and numerical methods requiring higher computational cost are becoming noteworthy. Secondly, three-dimensional representations are better suited for the study of specific and small-scale debris-flow processes, while the two-dimensional depth-averaged approach is still the most appropriate for field applications. Finally, the most recognised and recent models are highlighted and concisely compiled in a table to provide an overview of the options.
引用
收藏
页数:28
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