Miguel Martín Stickle

• PhD
• Professor (Assistant) at Universidad Politécnica de Madrid

Debris flows can be considered a type of landslide with large velocities and long run-out distances. There are many types of debris flows, depending on the properties of the solid and fluid components of the mixture. The triggering and propagation of debris flows can be studied using a single 3D mathematical model. The computational cost can be ver...

The debris flow's behavior depends on the properties of flowing mass (solid and fluid phases) and basal surface, including resistance to erosion and permeability, which can cause pore pressure dissipation and dewatering. This technique can also be used to reduce the runout distance and propagation velocity of debris flows, using structural counterm...

The main goal of this work is the resolution of fluid structure interaction problems described with the Lagrangian formalism by means of a consistently derived monolithic approach. The use of a component-free derivation leads to a straightforward implementation of the formulation where only vectors and second-order tensors in \({\mathbb {R}}^3\) ar...

Debris flows can be considered a type of landslide with large velocities and long run-out distances. There are many types of debris flows, depending on the properties of the solid and fluid components of the mixture. The triggering and propagation of debris flows can be studied using a single 3D mathematical model. The computational cost can be ver...

The complex nature of debris flows suggests that the pore-water pressure evolution and dewatering of a flowing mass caused by the high permeability of soil or terrain could play an essential role in the dynamics behavior of fast landslides. Dewatering causes desaturation, reducing the pore-water pressure and improving the shear strength of liquefie...

Los modelos matemáticos existentes se pueden dividir básicamente en modelos de una fase y de dos fases para describer los comportamientos dinámicos complejos de los flujos de escombros. Los modelos de una fase consumen menos tiempo de resolución, mientras que los modelos de dos fases producen resultados más precisos. El último es computacionalmente...

In geotechnical engineering, very often, the soil behavior varies with time. This is of particular interest in many cases such as embankments in soft clays, shear band progression in slopes or where the speed of the application of the load affects the bearing capacity of the material. In this paper, we study the extension of non-local failures usin...

Traditionally, Biot’s formulation is employed to model the behavior of saturated soils. The u-pw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u-p_w$$\end{document} (s...

In this paper, the theoretical framework is a depth-integrated two-phase model capable of considering many essential physical aspects such as reproducing the propagation of debris flows with soil permeability ranging from high to low and considering the pore-water pressure evolution. In this model, the pore fluid is described by an additional set o...

Standard finite element formulation and implementation in solid dynamics at large strains usually relies upon and indicial-tensor Voigt notation to factorized the weighting functions and take advantage of the symmetric structure of the algebraic objects involved. In the present work, a novel component-free approach, where no reference to a basis, a...

Entrainment of saturated bed material increases the mobility of fast landslides. The distribution of excess pore pressures changes in the body of the landslide, as the material entering it has much lower effective confining stresses which results on much smaller apparent basal friction angles. The purpose of this paper is to enhance the Finite Diff...

The main goal of this work is the resolution of Fluid Structure Interaction (FSI) problems described with the Lagrangian formalism by means of a consistently derived monolithic approach. The use of a component-free derivation leads to a straightforward implementation of the formulation where only vectors and second-order tensors in R3 are required....

Rapid flow-like landslides, particularly debris flows and debris avalanches, cause significant economic damage and many victims worldwide every year. They are usually extremely fast with the capability of travelling long distances in short times, sweeping away everything in their path. The principal objective of this paper is to test the ability of...

In some cases, debris flow consists of low-permeability soils in which run-out distances, velocities and lateral spreading are highly influenced by pore-water pressures. Basal screens are energy dissipation structures designed to reduce these velocities and run-out distances. These structures consist of grids built on horizontal decks where basal p...

In this paper, an efficient and robust methodology to simulate saturated soils subjected to low-medium frequency dynamic loadings under large deformation regime is presented. The coupling between solid and fluid phases is solved through the dynamic reduced formulation $$u-p_\mathrm{w}$$ u - p w (solid displacement – pore water pressure) of the Biot...

Debris flows are a type of fast landslides where a mixture of soil and water propagates along narrow channels. The main characteristics are (1) important relative displacements between the solid and fluid phases, and (2) development of pore-water pressures in excess to hydrostatic. The ratios between vertical and horizontal displacements of the flo...

The Material Point Method (MPM) can be regarded as a meshfree extension of the Finite Element Method (FEM). This fact has two interesting consequences. On the one hand, this puts a vast literature at our disposal, and much of the techniques originally engineered for the FEM can be adapted for the MPM framework with some modifications. On the other...

A debris flow is one of the most dangerous types of geophysical mass flows moving downward mountain slopes and consist of a mixture of soil and rocks with a significant quantity of interstitial fluid. They can travel at extremely rapid velocities affecting long distances due to the significant influence of pore-water pressures on the propagation st...

This paper presents a depth integrated, two-layer SPH new model for debris flows with finite differences meshes associated to nodes to describe pore pressure evolution. The proposed model is applied to describe how the flow evolves when arriving at a grid where pore pressure is made zero.

Material Point Method (MPM) has arisen in the recent years as an alternative to Finite Element Method (FEM) under large deformations. However, the simulation of shock waves propagation in the large deformation regime is still challenging under this approach due to the incapability of the standard MPM time integration scheme to filter spurious noise...

Dynamic problems of fluid‐saturated soils have to be assessed through a complete formulation where dynamic terms take place. The main dynamic Biot's formulation, the u − w , is employed widely in the literature in order to accurately study the dynamic phenomena. However, depending on the spatial discretization this formulation is utilizing, numeric...

Once that readers are familiar with fundamentals of SPH modeling and how this technique can be applied to model geotechnical problems involving large deformations, we will address a special technique which can be applied to a special group of problems , where one dimension-depth, for instance-is much smaller than the other two. This technique consi...

An accurate, stable, and efficient three-step predictor-corrector time integration method is considered, for the first time, to obtain numerical solution for the one-dimensional consolidation equation within a finite and spectral element framework. Theoretical order of accuracy and stability conditions are provided. The three-step predictor-correct...

In this publication the u w finite strain formulation is enhanced with a Generalized Plasticity model for sands. The new model is numerically solved using an Optimal Transportation Meshfree approach that is best suited for numerical analysis at finite strains. This new model allows to capture the hydro-mechanical response under large deformations o...

Classical depth‐integrated smoothed particle hydrodynamics (SPH) models for avalanches are extended in the present work to include a μ(I)− rheological model enriched with a fragmentation law. With this improvement, the basal friction becomes grain distribution dependent. Rock avalanches, where grain distribution tends to change with time while prop...

In this work an approach to representing debris floods and flows is proposed, based on a depth-integrated mathematical model and smooth particle hydrodynamics numerical technique. The main contributions of the present work are twofold: (a) an improved rheological Bingham model where solid fraction concentration can change as solids are entrained by...

Modelling fast catastrophic landslides such as debris flows, debris avalanches, flowslides and rock avalanches requires understanding the interactions between solid and pore fluid phases. In some cases, relative velocities are important and both phases have to be described using two velocity fields. Also, the structure of pore pressure distribution...

A methodology for the 3D analysis of marine foundations is presented. The response in displacements, stresses and pore water pressures is obtained from a finite element coupled formulation implemented in the GeHoMadrid model. Loads due to wave action on the foundation are obtained from the IHFOAM model that solves the three-dimensional Reynolds Ave...

In this work a four-step strategy to derive an analytical solution to the one-dimensional consolidation equation under a general time-dependent loading is presented. The strategy is based on the eigenfunction expansion method. Most existing solutions in the specialised literature are developed for a particular type of loading, whereas the proposed...

This paper presents a model which can be used for fast landslides where coupling between solid and pore fluid plays a fundamental role. The proposed model is able to describe debris flows where the difference of velocities between solid grains and fluid is important. The approach is based on the mathematical model proposed by Zienkiewicz and Shiomi...

The choice of a pure cohesive or a pure frictional viscoplastic model to represent the rheological behaviour of a flowslide is of paramount importance in order to obtain accurate results for real cases. The principal goal of the present work is to clarify the influence of the type of viscous model—pure cohesive versus pure frictional—with the numer...

We model debris flows using two sets of nodes, describing the water and the solid phases, which can move relative to each other. We present first the mathematical model which will be used, deriving it from Zienkiewicz-Shiomi model, and arriving to the depth integrated model proposed by Pitman and Le. Then, we present the rheological models describi...

Rock avalanches move large volumes of material causing a highly destructive power over large areas. In these events, it is possible to monitor the evolution of slopes but failure cannot be always prevented. For this reason, modelling of the propagation phase provides engineers with fundamental information regarding speed, track, runout and depth. F...

The B free finite element approach is applied to the governing equations describing the consolidation process in saturated poroelastic medium with intrinsically incompressible solid and fluid phases. Under this approach, where Voigt notation is avoided, the finite element equilibrium equations and the linearization of the coupled governing equati...

Landslides can cause major economic damage and a large number of casualties as it is possible to see from past events occurred all over the world. Being able to predict these kind of hazards would then suppose the achievement of great benefits. Here a model that combines a depth integrated description of the soil-pore fluid mixture together with a...

This paper presents a model (mathematical, rheological and numerical) for triggering and propagation of landslides presenting coupling between the solid skeleton and the pore fluid. The model consists of two sub models, a depth integrated model incorporating the propagation equations, and a 1D model describing pore pressure evolution. The depth int...

The article is devoted to present the key aspect of the mathematical, constitutive and numerical modelling of the failure of geomaterials in the transition from solid to fluid. The aim is to provide the reader with an overview of the role of modelling the most relevant phenomena in soils behaviour in fast landslides.

This paper presents an overview of depth averaged modelling of fast catastrophic landslides where coupling of solid skeleton and pore fluid (air and water) is important. The first goal is to show how Biot–Zienkiewicz models can be applied to develop depth integrated, coupled models. The second objective of the paper is to consider a link which can...

A viscoplastic approach to the behaviour of fluidized geomaterials: application to the case of Aberfan flowslide Landslides can cause major economic damage and large number of casualties as it is possible to see from past events occurred all over the world. Being able to model these kind of hazards would then suppose the achievement of great benefi...

Rock avalanches present a high destructing power. It is possible to monitor the evolution of slopes, but failure cannot be always prevented. For this reason, modelling of the propagation phase provide engineers with fundamental information regarding speed, track, runout and depth. From this data it is possible to propose mitigation measures and tak...

A theoretical and numerical framework to model the foundation of marine structures is presented. The theoretical framework includes two main components: (i) a mathematical model to properly represent soil skeleton–pore fluids interaction based on the Generalized Biot formulation, (ii) an advanced constitutive model to reproduce the nonlinear soil b...

This paper deals with modelling of landslide propagation. Its purpose is to present a methodology of analysis based on mathematical, constitutive and numerical modelling, which includes both well-established theories together with some improvements which are proposed herein. Concerning the mathematical model, it is based on Biot–Zienkiewicz equatio...

A theoretical and numerical framework to model the foundation of marine offshore structures is presented. The theoretical model is composed by a system of partial differential equations describing coupling between seabed solid skeleton and pore fluids (water, air, oil,…) combined with a system of ordinary differential equations describing the speci...

Experience and analyses show that liquefaction in saturated loose sand underneath a gravity structure may cause foundation failure in the case of earthquakes. This diffuse failure mechanism must also be considered in the case of impulsive sea wave actions over vertical breakwater structures anchored over loose sandy subsoil. A soil-water-structure...

An explicit algorithm for integrating Generalized Plasticity constitutive models is presented. This automatically divides the applied strain increment into subincrements using an estimate of the local error controlling the global integration error in the stress. The algorithm modifies the well known S. W. Sloan substepping scheme to account for Gen...

RESUMEN El diseño de la cimentación de estructuras marinas presenta una serie de dificultades debido a la complejidad de las solicitaciones ejercidas sobre la estructura, derivadas de la acción dinámica del oleaje y transmitidas al lecho marino a través de una compleja interacción cimentación-estructura, así como al comportamiento no lineal del sue...