The term ???Integral Abutment Bridges??? is used broadly all over the world these days. While the expansion joints used in bridges were once a scientifically proved cure to the problem of natural expansion and contraction, there are the excessive maintenance costs being accumulated annually due to the deterioration of essential functions from deicing chemicals and debris. This drawback triggered the advent of Integral Abutment Bridges. The performance of Integral Abutment Bridges at almost no extra costs in seasonal and daily cyclic contraction and expansion can be assessed as a monumental landmark of civil engineering technologies with respect to the massive budget reductions. However, since Integral Abutment Bridges are destined to expand or contract under the laws of nature, the bridge design became more complicated and sophisticated in order to complement the removal of expansion joints. That is why numerous researchers are attracted to Integral Abutment Bridges with deep interests. Accordingly, in designing the piled abutments of Integral bridges, it is essential to precisely predict the bridge???s behavior in advance. Researchers have been broadly carried out during the last several decades on the behavior of piled bridge abutments. However, most of the studies have been analyzed with focus on structural elements or soils, respectively for the static and dynamic loads such as thermal variations and earthquake loads. This presented research developed 3D numerical models with 3 m, 4 m, 5 m, 6 m, 7 m, and 8 m-tall abutments in the bridge using the finite element analysis software MIDAS CIVIL that simulate the behaviors of Integral Abutment Bridges to study the soil-structure interaction mechanism. In addition, this work evaluated and validated the suitability to the limit of the abutment height in Ontario???s recommendations for Integral Abutment Bridges by a parametric study under the combined static loading conditions. In order to be a balanced research in terms of a multidisciplinary study, this research analyzed key facts and issues related to soil-structure interaction mechanisms with both structural and geotechnical concerns. Moreover, the study established an explanatory diagram on soil-structure interaction mechanisms by cyclic thermal movements in Integral Abutment Bridges.

Neste trabalho são realizadas análises estruturais de edifícios de paredes de concreto moldadas no local e de alvenaria estrutural considerando a interação solo-estrutura e a sequência construtiva. Com solução de fundação em estacas pré-moldadas, cada edifício piloto com 45 metros de altura, formado por 15 pavimentos de parede com pé-direito de 2,80m, apoiado sobre um pilotis de concreto armado de 3 metros de altura é modelado com base em 4 metodologias de análise: (i) O AI_AF, modelo clássico de referência, que admite apoios indeslocáveis e ações instantâneas; (ii) O AE_AF, modelo que inclui as ações evolutivas, incorporando o aumento gradativo de carregamento e rigidez; (iii) O AI_ISE, modelo que incorpora a interação com o solo a partir da aplicação instantânea de ações e (iv) o AE_ISE, modelo mais refinado, que considera a interação com o solo no tempo de construção. As paredes são modeladas em elementos finitos de casca, os pilares de concreto, vigas de transição, estacas e blocos em elementos finitos de barra e o maciço de solo em elementos finitos sólidos isoparamétricos, com o auxílio do software comercial DIANA®. O trabalho evidencia que o modelo clássico de referência, que desconsidera a interação com o solo, não alerta para a necessidade de aumentar a ductilidade das paredes dos pavimentos iniciais em ambos os sistemas construtivos. / This study consist of a structural analyses of concrete walls and masonry building including the soil-structure interaction and the construction process. Each pilot building is 45 meters high, consisting of 15 floors with 2.80 m high. Each floors are seated on pillars of reinforced concrete with 3 meters of height, which were modeled using 4 methodologies: (i) The AI_AF, classic reference model, which adopts fixed foundations and instantaneous action; (ii) The AE_AF is a model, that includes construction loads and incorporates a gradual increasing in load and stiffness; (iii) The AI_ISE model incorporates interaction with the soil and the instantaneous application of actions; and, (iv) AE_ISE, which consists of a more refined model with soil interaction and the time of construction. The concrete walls are modeled based on shell finite elements, the concrete pillars, transition beams, stakes and blocks are modeled based on bar finite element and the soil mass is modelled as an isoparametric solid finite elements. The numerical modelling is conducted using commercial software DIANA®. Results show that the classic reference model, in which the soil-structure interaction is not considered, does not attent to the need of increasing the ductility of the walls in initials floor.

Ce travail de thèse présente une contribution à l'analyse des effets dynamiques des interactions sol-structure sur le mouvement sismique du sol et des bâtiments. Il repose essentiellement sur une approche numérique qui utilise la méthode des éléments spectraux et une représentation simplifiée des bâtiments par des modèles « par blocs » dont la réponse est ajustée par comparaison à plusieurs jeux de données expérimentales. L'objectif principal est de définir un cadre permettant une modélisation réaliste des effets macroscopiques d'interactions sol-structure et structure-sol-structure dans le calcul du mouvement du sol et des bâtiments. Après une présentation du cadre théorique de l'interaction sol-structure et des principales méthodes utilisées pour sa modélisation, divers exemples, comprenant le site Euroseistest / Volvi (Grèce), les tours de l'Ile Verte à Grenoble et Anchorage (Alaska), sont étudiés en détail pour identifier les difficultés de modélisation et proposer une procédure d'ajustement des paramètres des modèles par blocs au comportement réel des structures. Cela inclue une discussion sur les caractéristiques dynamiques les plus importantes à reproduire (fréquence de résonance, amortissement et mouvement de bascule) et sur la façon d'adapter les propriétés fictives des modèles par blocs afin de reproduire le comportement dynamique de structures dont les propriétés mécaniques varient fortement sur des échelles spatiales beaucoup plus faibles. Une attention particulière est consacrée à la modélisation par blocs de bâtiments ayant des propriétés dynamiques non-isotropes et des réponses mêlant flexion et cisaillement (de type « poutre de Timoshenko ») via l'introduction de propriétés hétérogènes au sein des éléments spectraux, et sans modification de la section géométrique globale. Ce travail comprend également une comparaison détaillée des différences entre modèles 2D et 3D et une discussion de leur origine physique : pour des bâtiments ayant des rapports d'aspect (longueur sur largeur) inférieurs à 6, les modèles 2D sont non-conservatifs, dans le sens où ils surestiment de façon significative l'amortissement et le mouvement de bascule. Cette thèse comprend également une grande partie sur les effets de l'interaction de structure à structure au travers du sol. De nombreuses situations sont étudiées, depuis le cas de 2 bâtiments à 2D ou 3D jusqu'au cas de zones densément urbanisées en 3D, avec divers types d'excitations (« pull-out », source superficielle ou profonde). Les effets de la distance inter-bâtiments sont étudiés dans diverses gammes de fréquence. La tendance générale obtenue est une diminution du mouvement du sol et des bâtiments autour de la fréquence de résonance fondamentale et une augmentation autour de la fréquence du premier harmonique. Des effets significatifs de réduction de la sollicitation sismique apparente sont obtenus en raison de l'effet de bouclier joué par les bâtiments vis à vis des ondes de surface. / This work is a contribution to investigations on the effects of dynamic soil-structure interaction on the seismic motion of both ground surface and buildings. It is based mainly on a numerical approach using the spectral element method and a simplified representation of buildings with "block models", calibrated however on a comparison with various sets of instrumental data. One of the main goals is to set the frame for a relevant macroscopic modeling of SSI and SSSI effects on ground and structural dynamic response. After a presentation of the background theoretical framework of soil-structure interaction and the main modeling approaches, various examples from Euroseistest / Volvi (Greece), Grenoble Ile Verte towers (France) and Anchorage (Alaska) are investigated in detail to identify the main modeling issues and to propose a procedure to best tune the model and its parameters to the actual behavior. It includes a discussion on the main relevant macroscopic dynamic characteristics to fit (frequency, damping and rocking ratio), and on the way to use "block models", i.e., models consisting of blocks full of fictitious material, to satisfactorily reproduce the macroscopic response of actual buildings having highly variable slenderness ratios, with frames or shear walls. A special attention is devoted to the "block-modeling" of buildings with non-symmetrical dynamic properties and Timoshenko beam like behavior, through the introduction of material heterogeneities within the spectral elements of block models, while keeping unchanged the geometrical cross-section. It also includes a thorough comparison on the major differences between 2D and 3D models and their physical origins: for long buildings with aspect ratios (length over width ratio) lower than 6, 2D models are shown un-conservative, as they tend to significantly overestimate the damping and rocking ratios. This work also includes a large part on the effects of Structure-to-Structure interaction through the soil. Various cases are considered, from the 2 building case in 2D and 3D geometries to an idealized, densely urbanized 3D area, with various types of excitations (pull-out, surface or deep source). Effects of inter-building distance and frequencies are investigated. The general trend is a reduction of the ground and building motion around the fundamental frequency, with however opposite effects for the first higher mode. The reduction effects are found of particular importance because of the shielding effects of building clusters for surface waves.

Neste trabalho são realizadas análises estruturais de edifícios de paredes de concreto moldadas no local e de alvenaria estrutural considerando a interação solo-estrutura e a sequência construtiva. Com solução de fundação em estacas pré-moldadas, cada edifício piloto com 45 metros de altura, formado por 15 pavimentos de parede com pé-direito de 2,80m, apoiado sobre um pilotis de concreto armado de 3 metros de altura é modelado com base em 4 metodologias de análise: (i) O AI_AF, modelo clássico de referência, que admite apoios indeslocáveis e ações instantâneas; (ii) O AE_AF, modelo que inclui as ações evolutivas, incorporando o aumento gradativo de carregamento e rigidez; (iii) O AI_ISE, modelo que incorpora a interação com o solo a partir da aplicação instantânea de ações e (iv) o AE_ISE, modelo mais refinado, que considera a interação com o solo no tempo de construção. As paredes são modeladas em elementos finitos de casca, os pilares de concreto, vigas de transição, estacas e blocos em elementos finitos de barra e o maciço de solo em elementos finitos sólidos isoparamétricos, com o auxílio do software comercial DIANA®. O trabalho evidencia que o modelo clássico de referência, que desconsidera a interação com o solo, não alerta para a necessidade de aumentar a ductilidade das paredes dos pavimentos iniciais em ambos os sistemas construtivos. / This study consist of a structural analyses of concrete walls and masonry building including the soil-structure interaction and the construction process. Each pilot building is 45 meters high, consisting of 15 floors with 2.80 m high. Each floors are seated on pillars of reinforced concrete with 3 meters of height, which were modeled using 4 methodologies: (i) The AI_AF, classic reference model, which adopts fixed foundations and instantaneous action; (ii) The AE_AF is a model, that includes construction loads and incorporates a gradual increasing in load and stiffness; (iii) The AI_ISE model incorporates interaction with the soil and the instantaneous application of actions; and, (iv) AE_ISE, which consists of a more refined model with soil interaction and the time of construction. The concrete walls are modeled based on shell finite elements, the concrete pillars, transition beams, stakes and blocks are modeled based on bar finite element and the soil mass is modelled as an isoparametric solid finite elements. The numerical modelling is conducted using commercial software DIANA®. Results show that the classic reference model, in which the soil-structure interaction is not considered, does not attent to the need of increasing the ductility of the walls in initials floor.

Forest biomass burned for energy purposes does not need to be accounted for under IPCC rules. This has led to a number of countries considering tree stump harvesting as a source of forest biomass. However there are concerns that the soil disturbance that this may entail could have adverse environmental effects, including the loss of sequestered carbon from the soil. Published results differ in the degree and nature of stump harvesting soil disturbance. Two widely used measures employed in stump harvesting soil disturbance studies are visual assessment of disturbance extent and bulk density measures of the nature of disturbance. Each of these has limitations. This study seeks to extend the insight into both the nature and extent of soil disturbance resulting from stump harvesting by the application of additional techniques. In this way the physical effects of soil disturbance by stump harvesting will be compared with those of other forestry practices. To overcome the two-dimensional and subjective nature of visual assessment, a radiometric approach was adopted, utilising residual Chernobyl 137Cs fallout to determine the degree of soil mixing. To complement bulk density measurements, micromorphological analyses of soil thin sections taken from field samples were carried out to investigate the impact of compressive force on pore space. Low-cost tracer devices were deployed in the soil around stumps prior to extraction to permit the monitoring of the lateral movement of soil during stump extraction. These methods were applied to a stump harvesting operation carried out under current UK guidance at a UPM Tilhill managed site in south west Scotland. The radiometric method demonstrated its capacity to recognise differing degrees of soil disturbance in an operational forest environment, including some disturbance that might escape visual assessment. Analysis of soil thin sections provided the evidence of a significant increase in the pore capacity of disturbed soil. The soil movement tracers developed for this project provided the capability to examine the various trajectories of soil during stump extraction as well as dimensioning the resulting disturbance crater. The study indicated that under current UK management and operational practice, stump harvesting generated a higher level of soil disturbance compared to ground preparation by trench mounding, with an estimated 1260 m3 ha-1 of soil disturbed by stump harvesting compared to 250 m3 ha-1 from trench mounding. Stump harvesting was found to generate a net reduction in soil bulk density in the affected areas, contrary to the findings of some other studies. This outcome is dependent on adhering to particular site management and operational procedures. The practice of raking over the site following stump harvesting is estimated to add a further 10% to the volume of soil disturbed, and is a questionable activity under soil sustainability guidance. This work was part-funded and actively supported by the UK Forestry Commission and UPM Tilhill.

No description available.

Thesis (MScIng)--University of Stellenbosch, 2004. / ENGLISH ABSTRACT: The moisture content of road foundations plays an important role in the durability of the pavement and the driving comfort of the road. After a pavement has been completed, gradual moisture changes occur in the foundations until equilibrium conditions can be reached, and this can have negative results if expansive clays, for example, are present in the foundation. Pre-wetting of the foundation material is seen as a method to minimilize moisture changes after construction, but if the pavement was already completed, it would be very difficult to change or alter the moisture content in the foundation, because water could then only be applied to the shoulder areas of the road and horizontal infiltration in the soil is exceptionally slow. The research which is reported in this account was undertaken to determine whether the process of electro-osmosis could be applied to accelerate water infiltration underneath covered areas, as in, for example, road foundation layers. Electro-osmosis, if found to be successful, has various advantages, of which the most important is that it can be applied without stopping the normal operations of the road. This research was carried out on a mixture of G5 material (TRH14 classification) and fine material in the form of clay with a low plasticity. Firstly, tests were performed to determine the percentage of fines required. It was found that, if too little fines were present infiltration did not occur, because moisture could flow freely through the openings between the rough aggregate. Electro-osmosis also had no effect on the rate of flow. The allocated amount of fines required to fill sufficient openings was about 30% (TRH14 classification of mixture is G10). Free flow was stopped and true infiltration occurred. Simultaneously, the rate of infiltration could be accelerated with electro-osmosis. Furthermore, a two-dimensional model of a road was constructed with electrodes placed on both sides, with the aim to determine the infiltration pattern controlled by electro-osmosis and what the effect of the initial moisture content would be on the process. Water was introduced to the one side of the model road and the wetting of the foundation was investigated. If the electric current for electro-osmosis was switched off, the infiltration was mainly vertical, as expected, but with the current switched on, there was an obvious acceleration of infiltration in the horizontal direction. As in the case of the initial tests, it was found that electro-osmosis was not very successful to accelerate horizontal infiltration at low percentages of fines. Furthermore, it was obvious that electroosmosis was also more effective if the initial moisture content of the soil was low. Low amounts of fines and high initial moisture contents had rather the electroosmotic flow of water passing underneath the road as a result instead of infiltration acceleration, with the result that the moisture content did not change much. The research thus showed that electro-osmosis is a possible manner in which moisture could be conducted into the foundation layers of roads to increase the moisture content if the appropriate amount of fines and moisture content were present in the foundation material. Further research could still be carried out and the materials in each case should be practically evaluated before this method could be continued with. / AFRIKAANSE OPSOMMING: Die voginhoud van padfondamente speel ’n belangrike rol in die duursaamheid van die plaveisel en die rygerief van die pad. Nadat ’n plaveisel voltooi is, vind daar geleidelike vogverandering in die fondamente plaas totdat ewewigstoestande bereik is, en dit kan nadelige gevolge inhou indien uitsettende kleie byvoorbeeld in die fundament teenwoordig is. Voorafbenatting van die fondamentmateriaal word gereken as ’n metode om vogveranderinge na konstruksie te minimeer, maar indien die plaveisel reeds voltooi is, is dit baie moeilik om die voginhoud in die fondament te verander of beheer omdat water dan slegs buite die skouerareas van die pad toegedien kan word en horisontale infiltrasie in grond uiters stadig is. Die navorsing waaroor hierin verslag gedoen word, is onderneem om te bepaal of die proses van elektro-osmose aangewend kan word om waterinfiltrasie onder bedekte areas, soos byvoorbeeld padfondamentlae, te versnel. Elektro-osmose, indien dit suksesvol blyk te wees, hou verskeie voordele in, waarvan die belangrikste dat dit aangewend kan word sonder om die normale bedryf van die pad te staak. Die ondersoek is uitgevoer op ’n mengsel van G5 materiaal (TRH14 klassifikasie) en fynstof in die vorm van klei met ’n lae plastisiteit. Eerstens is toetse uitgevoer om die persentasie fynstof wat nodig is, te bepaal. Daar is bevind dat, indien te min fynstof teenwoordig is, infiltrasie nie plaasvind nie aangesien water vryelik deur die openinge tussen die growwe aggregaat kan vloei. Elektro-osmose het ook geen effek op die vloeitempo gehad nie. Die aangewese hoeveelheid fynstof om genoegsame openinge te vul was ongeveer 30% (TRH14 klassifikasie van mengsel is G10). Vrye vloei is dan gestuit en ware infiltrasie het plaasgevind. Terselfdertyd kon die tempo van infiltrasie versnel word met elektro-osmose. Voorts is ’n twee-dimensionele model van ’n pad gebou, met elektrodes aan weerskante geplaas, met die doel om te bepaal of die infiltrasiepatroon deur elektro-osmose beheer kon word en wat die effek van beginvoginhoud op die proses sal wees. Water is aan een kant van die modelpad ingevoer en die benatting van die fondament bestudeer. Indien die elektriese stroom vir elektroosmose afgeskakel was, was die infiltrasie hoofsaaklik vertikaal, soos verwag, maar met die stroom aangeskakel was daar duidelike versnelling van infiltrasie in die horisontale rigting. Net soos in die geval van die aanvanklike toetse is bevind dat elektro-osmose nie baie suksesvol was om horisontale infiltrasie te versnel by lae persentasies fynstof nie. Dit het verder geblyk dat elektro-osmose ook meer effektief was indien die aanvanklike voginhoud van die grond laag was. Lae hoeveelhede fynstof en hoë aanvanklike voginhoude het eerder elektroosmotiese deurvloei van water onderdeur die pad tot gevolg gehad as infiltrasieversnelling, met die gevolg dat die voginhoud nie veel verander het nie. Die navorsing het dus getoon dat elektro-osmose ’n moontlike wyse is waarop water in die fondamentlae van paaie ingevoer kan word om die voginhoud te verhoog indien die geskikte hoeveelheid fynstof en voginhoud in die fondamentmateriaal teenwoordig is. Verdere navorsing kan nog uitgevoer word en die materiale van elke geval sal prakties evalueer moet word voordat met die metode voortgegaan kan word.

Previous earthquakes demonstrated destructive effects of soil-structure interaction on structural response. For example, in the 1970 Gediz earthquake in Turkey, part of a factory was demolished in a town 135 km from the epicentre, while no other buildings in the town were damaged. Subsequent investigations revealed that the fundamental period of vibration of the factory was approximately equal to that of the underlying soil. This alignment provided a resonance effect and led to collapse of the structure. Another dramatic example took place in Adapazari, during the 1999 Kocaeli earthquake where several foundations failed due to either bearing capacity exceedance or foundation uplifting, consequently, damaging the structure. Finally, the Christchurch 2012 earthquakes have shown that significant nonlinear action in the soil and soil-foundation interface can be expected due to high levels of seismic excitation and spectral acceleration. This nonlinearity, in turn, significantly influenced the response of the structure interacting with the soil-foundation underneath. Extensive research over more than 35 years has focused on the subject of seismic soil-structure interaction. However, since the response of soil-structure systems to seismic forces is extremely complex, burdened by uncertainties in system parameters and variability in ground motions, the role of soil-structure interaction on the structural response is still controversial. Conventional design procedures suggest that soil-structure interaction effects on the structural response can be conservatively ignored. However, more recent studies show that soil-structure interaction can be either beneficial or detrimental, depending on the soil-structure-earthquake scenarios considered. In view of the above mentioned issues, this research aims to utilise a comprehensive and systematic probabilistic methodology, as the most rational way, to quantify the effects of soil-structure interaction on the structural response considering both aleatory and epistemic uncertainties. The goal is achieved by examining the response of established rheological single-degree-of-freedom systems located on shallow-foundation and excited by ground motions with different spectral characteristics. In this regard, four main phases are followed. First, the effects of seismic soil-structure interaction on the response of structures with linear behaviour are investigated using a robust stochastic approach. Herein, the soil-foundation interface is modelled by an equivalent linear cone model. This phase is mainly considered to examine the influence of soil-structure interaction on the approach that has been adopted in the building codes for developing design spectrum and defining the seismic forces acting on the structure. Second, the effects of structural nonlinearity on the role of soil-structure interaction in modifying seismic structural response are studied. The same stochastic approach as phase 1 is followed, while three different types of structural force-deflection behaviour are examined. Third, a systematic fashion is carried out to look for any possible correlation between soil, structural, and system parameters and the degree of soil-structure interaction effects on the structural response. An attempt is made to identify the key parameters whose variation significantly affects the structural response. In addition, it is tried to define the critical range of variation of parameters of consequent. Finally, the impact of soil-foundation interface nonlinearity on the soil-structure interaction analysis is examined. In this regard, a newly developed macro-element covering both material and geometrical soil-foundation interface nonlinearity is implemented in a finite-element program Raumoko 3D. This model is then used in an extensive probabilistic simulation to compare the effects of linear and nonlinear soil-structure interaction on the structural response. This research is concluded by reviewing the current design guidelines incorporating soil-structure interaction effects in their design procedures. A discussion is then followed on the inadequacies of current procedures based on the outcomes of this study.

Four fields of 117 ha area located at the University of Arizona's Maricopa Agricultural Center were selected for this study. Two soil series, the Casa Grande sandy clay loam and Trix clay loam occur. Surface samples (0-25 cm) were collected on a 98 m interval and 3 rows providing 47 sites per field. Sites were classified either as surveying (32) or testing (15) in each of the four fields. Additional samples at 25-50, 50-75, 75-100, and 100-125 cm were obtained with duplicate surface undisturbed cores at 5 sites per field. Soil parameters include bulk density, saturated hydraulic conductivity, moisture retention, particle size analysis, pH, EC, soluble cations, SAR, and ESP. A quantification of the spatial interdependence of samples was developed based on the variogram of soil parameters. A linear model was best fitted to the clay, EC, Ca²⁺, Mg²⁺, Na⁺, SAR and ESP, and a spherical model to the sand, silt, pH, and K⁺ observed variograms. A comparison of variograms obtained conventionally and with the robust estimation of Cressie and Hawkins (1980) for sand and Ca²⁺ were performed with a fixed couples number per class and with a fixed class size. Additionally, a negative log-likelihood function along with cross-validation criteria were used with the jackknifing method to validate and determine variogram parameters. Three interpolation techniques have been compared for estimating 11 soil properties at the test sites. The techniques include Arithmetic Mean, Inversely Weighted Average, and Kriging with various numbers of neighbor estimates. Using 4 point estimates resulted in nearly identical results, but the 8 point estimates gave more contrast for results among the alternative techniques. Jackknifing was used with 4, 8, 15, 25 neighbors for estimating 188 points of sand and Ca²⁺ with the three techniques. Sand showed a definite advantage of Kriging by lowering the Mean Square Error with increasing neighbor number. The simple interpolator Arithmetic Mean was comparable and sometimes even better than the other techniques. Kriging, the most complex technique, was not the absolute best interpolator over all situations as perhaps expected. The spatial dependence for the 11 soil variables was studied by preparing contour maps by punctual Kriging. Sand and Ca²⁺ were also mapped by block Kriging estimates.

The most popular method for dynamic soil-structure interaction analysis is the finite element method. The versatility in problems involving different materials and complex geometries is its main advantage, yet the FEM can not simulate unbounded domains completely. Several schemes have been proposed to overcome this shortcoming, such as the use of either imperfect or perfect transmitting boundaries, infinite elements and hybrid techniques. However, most of them were derived on the assumption that the soil mass can be represented as a homogeneous material despite the fact that stratified soil deposits are a common occurrence in nature. A hybrid method is proposed in this research for soil-structure interaction analysis in the frequency domain involving a multilayered linear elastic half-space. The near field region (structure and a portion of soil surrounding it) is modeled by finite elements while the far field formulation is obtained through the classical wave propagation theory based on the assumption that the actual scattered wave fields can be represented by a set of line sources. Traction reciprocity between the two regions is satisfied exactly, while the displacement continuity across the common interface is enforced in a least-squares sense. The two-dimensional system is excited by harmonic body waves (P and SV) propagating with oblique incidence. The structure can be considered either on the surface or deeply embedded in the multilayered half-space. Analytic solutions for the far field domain is obtained through the combined response of four simple problems that take into account the overall effects of the incident, reflected and scattered wave fields. The delta matrix technique is employed in order to eliminate the loss of precision problem associated with the Thomson-Haskell matrix method in its original form. Special numerical schemes are used to transform the solution from the κ- into the ω-plane due to the presence of poles on the path of integration. The few numerical examples studied in this research validate the proposed hybrid technique, but the relatively high computational cost required for evaluation of the Green's functions is still a serious drawback. Some suggestions are made to minimize the problem as well as to extend this technique to cases involving material attenuation and forced vibrations.