Relevant bibliographies by topics / Soil aeration – Mathematical models

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  1. Journal articles
  2. Dissertations / Theses
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  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Soil aeration – Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Soil aeration – Mathematical models"

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Oliveira, Matias Marchesan de, Arlei Coldebella, Paulo Belli Filho, and Paulo Armando Victória de Oliveira. "Aeration frequency on accelerated composting of animal carcasses." Ciência e Agrotecnologia 42, no. 6 (December 2018): 653–65. http://dx.doi.org/10.1590/1413-70542018426021818.

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ABSTRACT Rotary drum reactors (RDRs) for accelerated carcass composting are being installed in animal production units as an alternative for the disposal of pig and poultry carcasses in Brazil. The aim of the present study was to investigate the influence of aeration frequency on gas emissions (CO2-C, CH4-C, NH3-N and N2O-N) during composting of pig and poultry carcasses in RDRs. RDRs with a volume of 3.6 m3 (50% useful volume) were used. Aeration time was 24 minutes. Four intervals between aeration periods were tested (treatments) as follows: 1 hour (T1), 2 hours (T2), 3 hours (T3) and 4 hours (T4). Gas emissions were continuously monitored using a photoacoustic gas monitor (INNOVA 1412). Temperature was monitored using iButtons mixed with the biomass. Mathematical models of CO2-C and NH3-N emissions relative to the observed biomass temperature were proposed. Biomass temperature was affected by the treatments. The highest aeration frequency had the shortest thermophilic phase (>50 °C). No significant differences in total gas emissions were observed between treatments (p>0.05). CO2-C and NH3-N emissions were better fitted by non-linear models (R2=0.75 and R2=0.78, respectively). A minimum 2-hour interval should be adopted between aeration periods of 24 minutes to guarantee a longer thermophilic phase and elimination of possible pathogenic contaminants.
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Kalugin, Y. I., S. N. Kurganskaya, and V. S. Siry. "Mathematical Models of the Soil Water-Air Regime Regulation Based on Calculating of Water-Salt Flow in the Aeration Zone." International Journal of Fluid Mechanics Research 31, no. 6 (2004): 591–98. http://dx.doi.org/10.1615/interjfluidmechres.v31.i6.50.

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Muratbekov, М. B., and A. O. Suleimbekova. "On the existence of the resolvent and separability of a class of the Korteweg-de Vriese type linear singular operators." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 101, no. 1 (March 30, 2021): 87–97. http://dx.doi.org/10.31489/2021m1/87-97.

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Partial differential equations of the third order are the basis of mathematical models of many phenomena and processes, such as the phenomenon of energy transfer of hydrolysis of adenosine triphosphate molecules along protein molecules in the form of solitary waves, i.e. solitons, the process of transferring soil moisture in the aeration zone, taking into account its movement against the moisture potential. In particular, this class includes the nonlinear Korteweg-de Vries equation, which is the main equation of modern mathematical physics. It is known that various problems have been studied for the Korteweg-de Vries equation and many fundamental results obtained. In this paper, issues about the existence of a resolvent and separability (maximum smoothness of solutions) of a class of linear singular operators of the Korteweg-de Vries type in the case of an unbounded domain with strongly increasing coefficients are investigated.
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Mezbahuddin, M., R. F. Grant, and T. Hirano. "Modelling effects of seasonal variation in water table depth on net ecosystem CO<sub>2</sub> exchange of a tropical peatland." Biogeosciences 11, no. 3 (February 3, 2014): 577–99. http://dx.doi.org/10.5194/bg-11-577-2014.

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Abstract. Seasonal variation in water table depth (WTD) determines the balance between aggradation and degradation of tropical peatlands. Longer dry seasons together with human interventions (e.g. drainage) can cause WTD drawdowns making tropical peatland C storage highly vulnerable. Better predictive capacity for effects of WTD on net CO2 exchange is thus essential to guide conservation of tropical peat deposits. Mathematical modelling of basic eco-hydrological processes under site-specific conditions can provide such predictive capacity. We hereby deploy a process-based mathematical model ecosys to study effects of seasonal variation in WTD on net ecosystem productivity (NEP) of a drainage affected tropical peat swamp forest at Palangkaraya, Indonesia. Simulated NEP suggested that the peatland was a C source (NEP ~ −2 g C m−2 d−1, where a negative sign represents a C source and a positive sign a C sink) during rainy seasons with shallow WTD, C neutral or a small sink (NEP ~ +1 g C m−2 d−1) during early dry seasons with intermediate WTD and a substantial C source (NEP ~ −4 g C m−2 d−1) during late dry seasons with deep WTD from 2002 to 2005. These values were corroborated by regressions (P < 0.0001) of hourly modelled vs. eddy covariance (EC) net ecosystem CO2 fluxes which yielded R2 > 0.8, intercepts approaching 0 and slopes approaching 1. We also simulated a gradual increase in annual NEP from 2002 (−609 g C m−2) to 2005 (−373 g C m−2) with decreasing WTD which was attributed to declines in duration and intensity of dry seasons following the El Niño event of 2002. This increase in modelled NEP was corroborated by EC-gap filled annual NEP estimates. Our modelling hypotheses suggested that (1) poor aeration in wet soils during shallow WTD caused slow nutrient (predominantly phosphorus) mineralization and consequent slow plant nutrient uptake that suppressed gross primary productivity (GPP) and hence NEP (2) better soil aeration during intermediate WTD enhanced nutrient mineralization and hence plant nutrient uptake, GPP and NEP and (3) deep WTD suppressed NEP through a combination of reduced GPP due to plant water stress and increased ecosystem respiration (Re) from enhanced deeper peat aeration. These WTD effects on NEP were modelled from basic eco-hydrological processes including microbial and root oxidation-reduction reactions driven by soil and root O2 transport and uptake which in turn drove soil and plant carbon, nitrogen and phosphorus transformations within a soil-plant-atmosphere water transfer scheme driven by water potential gradients. Including these processes in ecosystem models should therefore provide an improved predictive capacity for WTD management programs intended to reduce tropical peat degradation.
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Khalifa, A., S. Bayoumi, and O. El Monayeri. "Mathematical modeling of aeration efficiency and dissolved oxygen provided by stepped cascade aeration." Water Science and Technology 63, no. 1 (January 1, 2011): 1–9. http://dx.doi.org/10.2166/wst.2011.001.

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Mathematical modeling has been a vital tool in the field of environmental engineering. Various models have been developed to simulate the level of aeration efficiency (AE) provided by different aerating structures to raise levels of dissolved oxygen (DO) in streams; one of which is the stepped cascade structure. Three models developed by Gameson et al. WRL, and Nakasone, in addition to Qual2k, a computer program for stream modeling, have been used in this research; values of AEs obtained have been compared to those computed using DO measured from a built model at a WWTP. A stepped cascade structure was installed with different heights to aerate five flowrates with different levels of COD. An adjustment has been made to the Nakasone model to test the effect of pollutant load on the amount of aeration that could be reached. Values of AEs computed using the Gameson model were 30%, 39.5%, and 40% for cascade heights (Hd) 45, 60, and 75 cm respectively for the five flowrates (q) that ranged from 21–66 m3/hr. Values of AEs from WRL model were 32.8%, 42%, and 43% consequently. Values of AEs from Nakasone model ranged from 4.6–7.5%, 6–10%, and 7.6–12% respectively. For the adjusted Nakasone model, values of AEs ranged from 3.2–4.9%, 3.3–5.3%, and 4.1–6.7% respectively. Finally, the AEs computed using the values of downstream DO generated by Qual2k ranged from 4–18%, 2–15%, and 2.5–5.1% correspondingly. Around 80% of the downstream DO values computed using the Nakasone and adjusted Nakasone model were closer to those measured in the field, thus more reliable in cascade design.
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Roose, Tiina, and Andrea Schnepf. "Mathematical models of plant–soil interaction." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1885 (September 25, 2008): 4597–611. http://dx.doi.org/10.1098/rsta.2008.0198.

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In this paper, we set out to illustrate and discuss how mathematical modelling could and should be applied to aid our understanding of plants and, in particular, plant–soil interactions. Our aim is to persuade members of both the biological and mathematical communities of the need to collaborate in developing quantitative mechanistic models. We believe that such models will lead to a more profound understanding of the fundamental science of plants and may help us with managing real-world problems such as food shortages and global warming. We start the paper by reviewing mathematical models that have been developed to describe nutrient and water uptake by a single root. We discuss briefly the mathematical techniques involved in analysing these models and present some of the analytical results of these models. Then, we describe how the information gained from the single-root scale models can be translated to root system and field scales. We discuss the advantages and disadvantages of different mathematical approaches and make a case that mechanistic rather than phenomenological models will in the end be more trustworthy. We also discuss the need for a considerable amount of effort on the fundamental mathematics of upscaling and homogenization methods specialized for branched networks such as roots. Finally, we discuss different future avenues of research and how we believe these should be approached so that in the long term it will be possible to develop a valid, quantitative whole-plant model.
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Carmen, Berevoescu Ileana. "Mathematical Models for Nonlinear Soil Behavior." Romanian Journal of Transport Infrastructure 6, no. 2 (December 1, 2017): 45–52. http://dx.doi.org/10.1515/rjti-2017-0059.

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Abstract Actually, the seismic movement has an irregular cyclic character.This can be equivalent to a determined number of uniform cyclical stresses equivalent in terms of effect. Modeling the behavior of the soil to cyclical stress, is usually done, by establishing a relationship for primary loading like τ = f (γ) and after drawing the diagram “effortless strain curve”, in which τ is the stress, and γ is shear deformation. For modeling nonlinear behavior of the soil, we used like nonlinear models. The best known are the hyperbolic model and the Ramberg-Osgood model.
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Sinicio, R., and W. E. Muir. "Comparison of Mathematical Models to Simulate Aeration of Wheat Stored in Brazil." Journal of Agricultural Engineering Research 64, no. 2 (June 1996): 119–30. http://dx.doi.org/10.1006/jaer.1996.0053.

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Mitrofanov, Sergey, Nikolay Novikov, Vasily Nikitin, and Sergey Belykh. "Mathematical models and soil fertility management software." E3S Web of Conferences 210 (2020): 04008. http://dx.doi.org/10.1051/e3sconf/202021004008.

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The article presents the results of studies on parametric approximation in spaces R2 (functions of one variable), R3 (functions of two variables) and Rn(n>3) (functions of three or more variables). Various classes of functions satisfying a priori conditions were studied: f(0, 0, 0)=0, $\mathop {\lim 1}\limits_{{x_i} \to + \infty } \,\,({x_1},\, \ldots ,\,{x_n}) = {c_i}$, ci = cont. Working algorithms and C/C++ software functioning in Microsoft Visual Studio 2019 system in Microsoft Windows 10 environment were developed. The main studies of the authors were aimed at developing effective computational algorithms for constructing approximating functions of two variables from various given classes of three-dimensional data samples (three-dimensional interconnected time series). The article provides a detailed description of the problem statement, introduces classes of approximating functions, provides algorithms for estimating the parameters of approximating functions and a description of the software. The estimation algorithm considered in the article is constructed according to the scheme of the coordinate descent method with optimization of the step length (Gauss-Seidel method).
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Hornig, Winfried. "Mathematical models for the description of soil genesis." Journal of Plant Nutrition and Soil Science 181, no. 6 (September 13, 2018): 847–54. http://dx.doi.org/10.1002/jpln.201800048.

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Dissertations / Theses on the topic "Soil aeration – Mathematical models"

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Wood, Luther G. "Modeling effects of U-tube aeration in recirculating aquaculture systems." Thesis, This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-10312009-020150/.

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Barrett, Gary Edward. "Infiltration in water repellent soil." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/28618.

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Observations made at Goat Meadows - a small sub-alpine basin located near Pemberton, British Columbia -demonstrated that a layer which is either water repellent or has only a limited affinity for water is present at most vegetated sites. The layer is typically a few centimetres in thickness, and is usually located at or near the top of the profile: it was present only in the zone of accumulation of organic matter. The spatial distribution of the layer did not appear to be related to the distribution of any particular species of plant. Sampling of sub-alpine sites in the Cascade, Selkirk, and Purcell Mountains indicated that such layers are common in the alpine - sub-alpine ecotone of southern British Columbia. The relationship between ponding depth and infiltration rate was explored through experiments conducted on samples collected near Ash Lake, in Goat Meadows. These samples were chosen for analysis because the repellent layer was in excess of thirty centimetres thick at this site. Infiltration rates remained below 2x10⁻⁹ m/s for all samples, even given ponding depths of up to forty centimetres. Breakthrough of liquid water was not observed, even after one month, which implies that most of the infiltration occurred as vapour transfer. In order to observe the movement of liquid water through water repellent media, a plexiglas cell was constructed. A synthetic water repellent sand with uniform surface properties was used as the medium. It was found that up to some critical depth, there was no entry of water into the medium. As the ponding depth was increased in steps, the front would advance in steps: it remained stationary between these step-increases in ponding depth. As the front advanced, protuberances or "fingers" began to develop. At some critical ponding depth, a finger would grow without bound. These observations pose a challenge to existing models of infiltration, since it appears that heterogeneity at the scale of individual pores must be invoked to explain them, but it is usually assumed that the properties of a porous medium are continuous at this scale. The thermodynamics of filling and emptying of pores is considered with emphasis on the effects of pore shape and of variations in the physicochemical properties at the scale of the pore. This thermodynamic analysis provides the conceptual basis for development of a model of infiltration in which pore-scale heterogeneity is preserved. Although it was not developed as such, the model follows the approach of cellular automata, in which local relations between pores or "cells" govern the behaviour of the system. The model replicated the observations of infiltration into synthetic water repellent porous media well: both the halting advance of the front as the ponding depth was increased and the development of fingers were simulated. The fact that such complex behaviour was predicted using only a simple set of physically based rules confirms the power of the approach.
Arts, Faculty of
Geography, Department of
Graduate
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Kool, Jan Bart Jacobus. "Parameter estimation for unsaturated flow models." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/80247.

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The estimation of parameters in models for soil unsaturated hydraulic properties from transient flow experiments via inversion of the governing initial-boundary value problem is examined. Emphasis is on the estimation of parameters from in-situ experiments where available data are in the form of spatially and temporally distributed water content and pressure head measurements. The inverse problem is formulated as a weighted least-squares problem. A simple but efficient Levenberg-Marquardt algorithm is developed for its solution. Sensitivity analysis is used to determine optimal sampling strategy for a one-dimensional ponded infiltration-drainage experiment. The analysis shows that sensitivities are highest, and therefore measurements should be concentrated, in zones where large moisture and pressure head gradients occur. The unsaturated flow process was found to be relatively insensitive to the saturated hydraulic conductivity. The latter parameter will therefore be difficult to estimate precisely. A numerical study on the effects of input uncertainty on estimation results indicates that complexity of the model that can be meaningfully identified from a given set of data is controlled by the level of data uncertainty. When data error from several sources was compounded, broad features of the unknown water retention and hydraulic conductivity functions were still predicted acceptably well, but it was no longer possible to distinguish more detailed features, such as hysteresis in the retention function. The parameter estimation algorithm is applied to data from two in-situ experiments. The first involves drainage from a large and uniformly packed lysimeter at Los Alamos National Laboratory. The experiment was intensively monitored, resulting in accurate input data for the inversion. Results obtained for this problem are very favorable, with excellent agreement between predicted and separately determined water retention and hydraulic conductivity functions. The second experiment is a field irrigation-drainage experiment conducted at New Mexico State University. Due to greater soil heterogeneity and less well-defined initial and boundary conditions, the apparent input uncertainty is considerably greater than was the case for the Los Alamos experiment. In agreement with results from the earlier theoretical analysis it was found that hydraulic properties could be predicted reasonably well, but it was not possible to distinguish layering in the soil profile or hysteresis in the water retention function, although the data show evidence of both phenomena.
Ph. D.
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Sorooshian, Soroosh, and Vijai Kumar Gupta. "Improving the Reliability of Compartmental Models: Case of Conceptual Hydrologic Rainfall-Runoff Models." Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ), 1986. http://hdl.handle.net/10150/614011.

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Romanel, Celso 1952. "DYNAMIC SOIL-STRUCTURE INTERACTION IN A LAYERED MEDIUM." Thesis, The University of Arizona, 1987. http://hdl.handle.net/10150/276511.

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The most popular method in 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 FEM can not simulate unbounded domains completely. A hybrid method is proposed in this research, which models the near field (structure and surrounding soil) by finite elements and the far field by a continuum approach. The system is excited by monochromatic body waves (P and SV) propagating with oblique incidence and harmonic time dependence. The far field problem is solved using Thomson-Haskell formulation associated with the delta matrix technique. The soil profile does not contain any soft layer and the layers are assumed to be linearly elastic, isotropic, homogeneous and perfectly bonded at the interfaces. Two-dimensional (in-plane) formulation is considered and the analysis is performed on both k- and o-planes through time and spatial Fourier transforms of the field equations and boundary conditions. (Abstract shortened with permission of author.)
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Park, Soojin. "Modelling soil-landform continuum on a three-dimensional hillslope." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670238.

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Mtundu, Nangantani Davies Godfrey. "The Stochastic Behavior of Soil Moisture and Its Role in Catchment Response Models." PDXScholar, 1987. https://pdxscholar.library.pdx.edu/open_access_etds/527.

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The object of current efforts at investigating catchment response is to derive a physically based stochastic model of the watershed. Recent studies have, however, indicated that a limiting factor in deriving such models is the dependence of hydrologic response on initial soil moisture. The dependence affects the distributions and moments of the hydrological processes being investigated. A stochastic model of soil moisture dynamics is developed in the form of a pair of stochastic differential equations (SDE's) of the Ito type. The sources of stochasticity are linked to the random inputs of rainfall and evapotranspiration (ET). One of the SDE's describes the "surplus" case, in which sufficient infiltration always occurs to allow for moisture depletion by the processes of drainage through and ET out of the root zone. The other SDE represents the "deficit" case, in which lack of adequate moisture leads only to an ET-controlled depletion process. Sample functions and moments of moisture evolution are obtained from the SDE's. From the general model of soil moisture, a specific model of initial soil moisture (the moisture at the beginning of a rainstorm event) is developed and its moments are derived. Furthermore, the probability distribution of initial moisture is postulated to permit the assessment of how initial moisture affects the estimation of hydrologic response. The moisture dynamics model reveals that the stochastic properties of moisture ae sensitive to initial conditions in the watershed only for less permeable soils under the "surplus" state but are practically insensitive to such conditions for more permeable soils. The stochastic properties are also less sensitive to initial conditions for all soil types whenever under the "deficit" state. These results suggest that hydrologic processes, such as precipitation excess and infiltration, depend on initial moisture only in regions where the soils are generally less permeable and where the climate tends to sustain a "wet" environment, whereas in arid or semi-arid regions, such processes would not depend on initial moisture. These conclusions imply that, in arid regions, an effective value of initial moisture such as the mean can be used to estimate the properties of the hydrologic processes, whereas in "wet" environments, more accurate values of the properties must be "weighted" based on the probability distribution of initial soil moisture.
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Musa, Zulkarnain 1964. "An accelerated conjugate direction procedure for slope stability analysis." Thesis, The University of Arizona, 1988. http://hdl.handle.net/10150/276912.

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CSLIP2 (De Natale, 1987) is the only slope stability program that utilizes a "direction set" optimization routine in its search for the minimum safety factor. However, CSLIP2 which employs Powell's Conjugate Direction Method permits only the horizontal and vertical directions (x and y) to be used as the initial direction set. The efficiency of the existing search routine is improved by replacing the x-y coordinate directions with initial directions that are parallel to and perpendicular to the principal axis of the safety factor contours.
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Romanel, Celso. "A global-local approach for dynamic soil-structure interaction analysis of deeply embedded structures in a layered medium." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184762.

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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.
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Sande, Leif Andrew. "Experimental Studies on Infiltration/Soil-Water Movement Processes and Green-AMPT Modeling." Thesis, North Dakota State University, 2011. https://hdl.handle.net/10365/29329.

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Experimental studies on infiltration/soil-water movement processes are vital to better understanding movement of soil-water in the vadose zone. The objective of this experimental research was to investigate infiltration/soil-water movement processes utilizing laboratory experiments and computer modeling. Small scale laboratory soil box infiltration experiments were conducted and utilized for the improved parameterization of the Green-Ampt (GA) saturated moisture content parameter to produce an effective moisture content parameter (Be) for utilization in a modified GA model. By incorporating ?e values into GA modeling, modeling results showed greatly improved wetting front prediction across different soil conditions. A new soil packing method was proposed for replicating complex microtopographical surfaces with uniform bulk densities in laboratory soil box experiments which proved efficient and effective at accomplishing both objectives. A rainfall simulator and an instantaneous-profile laser scanner were used to simulate rainfall and quantify surface microtopography for experiments. The results clearly show the effect of microtopography on infiltration and soil-water movement characteristics. This offers valuable insight into infiltration/soil-water movement processes as affected by different soil and surface microtopographic conditions.
National Science Foundation (Grant No. EAR-0907588)
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Books on the topic "Soil aeration – Mathematical models"

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Jin-Song, Chen, Haan C. T. 1941-, Oklahoma Agricultural Experiment Station, and Robert S. Kerr Environmental Research Laboratory, eds. Evaluation of unsaturated/vadose zone models for Superfund sites. Ada, Okla: Robert S. Kerr Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, 1994.

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Charbeneau, R. J. Kinematic modeling of multiphase solute transport in the vadose zone. Ada, OK: U.S. Environmental Protection Agency, Robert S. Kerr Environmental Research Laboratory, 1989.

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Genuchten, M. Th Van. The RETC code for quantifying the hydraulic functions of unsaturated soils. Ada, Okla: Robert S. Kerr Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, 1992.

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Genuchten, M. Th Van. The RETC code for quantifying the hydraulic functions of unsaturated soils. Ada, Okla: Robert S. Kerr Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, 1992.

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Sharda, V. N. Infiltration and its simulation. Roorkee: INCOH Secretariat, 1997.

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Morgan, Laurie. Aquifer vulnerability analysis using the pesticide root-zone model (PRZM2): Columbia Basin Irrigation Project area. Olympia, WA: Washington State Dept. of Ecology, Water Quality Program, Watershed Management Section, 2002.

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Morgan, Laurie. Aquifer vulnerability analysis using the pesticide root-zone model (PRZM2): Columbia Basin Irrigation Project area. Olympia, WA: Washington State Dept. of Ecology, Water Quality Program, Watershed Management Section, 2002.

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Aysen, A. Problem solving in soil mechanics. Lisse: Balkema, 1999.

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Problem solving in soil mechanics. Lisse: Balkema, 2003.

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Luckner, Ludwig. Migration processes in the soil and groundwater zone. Chelsea, Mich: Lewis Publishers, 1991.

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Book chapters on the topic "Soil aeration – Mathematical models"

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Schneider, W., A. Baermann, P. Döll, and W. Neumann. "Solute Transport in Holocene Marsh Sediments — Experiments and Mathematical Models —." In Contaminated Soil ’90, 425–26. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-011-3270-1_93.

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Sillers, W. Scott, Delwyn G. Fredlund, and Noshin Zakerzadeh. "Mathematical attributes of some soil—water characteristic curve models." In Unsaturated Soil Concepts and Their Application in Geotechnical Practice, 243–83. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9775-3_3.

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van Eyk, J., and C. Vreeken. "Model of Petroleum Mineralization Response to Soil Aeration to Aid in Site-Specific in Situ Biological Remediation." In Groundwater Contamination: Use of Models in Decision-Making, 365–69. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2301-0_33.

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Amundson, Ronald, and W. Troy Baisden. "Stable Isotope Tracers and Mathematical Models in Soil Organic Matter Studies." In Methods in Ecosystem Science, 117–37. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1224-9_9.

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Ambrosi, Davide, Renato Lancellotta, and Luigi Preziosi. "Mathematical Models for Soil Consolidation Problems: a State of the Art Report." In Modeling and Mechanics of Granular and Porous Materials, 159–80. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0079-6_6.

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van der Zee, Sjoerd E. A. T. M. "Reaction Kinetics and Transport in Soil: Compatibility and Differences between Some Simple Models." In Mathematical Modeling for Flow and Transport Through Porous Media, 703–37. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-017-2199-8_13.

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Hengl, T., and I. S. Evans. "Chapter 2 Mathematical and Digital Models of the Land Surface." In Developments in Soil Science, 31–63. Elsevier, 2009. http://dx.doi.org/10.1016/s0166-2481(08)00002-0.

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Truscott, J. E., H. C. Turner, S. H. Farrell, and R. M. Anderson. "Soil-Transmitted Helminths." In Mathematical Models for Neglected Tropical Diseases - Essential Tools for Control and Elimination, Part B, 133–98. Elsevier, 2016. http://dx.doi.org/10.1016/bs.apar.2016.08.002.

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Satia, Moksha H. "Transmission of Water and Food Waste in Aquaponic Systems." In Mathematical Models of Infectious Diseases and Social Issues, 216–45. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3741-1.ch010.

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In order to conserve natural resources, the quest for recycling water and food waste culture is ongoing. One of the possible and good ways to reuse these wastes is hydroponic culture. It is an advanced technology that cultivates plants without soil. Instead of using root system, it needs nutrient-rich water. Most of the nutrients used in hydroponic culture come from aqua culture, the branch for propagation, emergence, and maintenance of aquatic (water) organisms. Humans convolve aqua culture with hydroponic culture that has come up as an aquaponic system. It has been universally adopted for indoor food production. The solution arising out of this system has eliminated the lack of vegetable and fish. The continuous nature of these cultures gives rise to the system of non-linear ordinary differential equations. This system is investigated through logistic growth rate. Logistic growth rate offers an oscillating threshold. The simulative results analyse the periodicity of the system solutions, which will help the ecosystem survive.
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Levecke, Bruno, Roy M. Anderson, Dirk Berkvens, Johannes Charlier, Brecht Devleesschauwer, Niko Speybroeck, Jozef Vercruysse, and Stefan Van Aelst. "Mathematical Inference on Helminth Egg Counts in Stool and Its Applications in Mass Drug Administration Programmes to Control Soil-Transmitted Helminthiasis in Public Health." In Mathematical Models for Neglected Tropical Diseases: Essential Tools for Control and Elimination, Part A, 193–247. Elsevier, 2015. http://dx.doi.org/10.1016/bs.apar.2015.01.001.

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Conference papers on the topic "Soil aeration – Mathematical models"

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Kavka, P. "COMPARISON OF SOIL EROSION RILLS IDENTIFICATION BY MATHEMATICAL MODELS AND AERIAL PHOTOGRAPHS." In 14th SGEM GeoConference on INFORMATICS, GEOINFORMATICS AND REMOTE SENSING. Stef92 Technology, 2014. http://dx.doi.org/10.5593/sgem2014/b21/s8.066.

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Khanina, L. G., M. V. Bobrovsky, V. E. Smirnov, K. V. Ivashchenko, A. I. Zhuravleva, and I. V. Zhmaylov. "Comparison of Effects in Linear Models of Soil Variables after a Catastrophic Windthrow in a Quercus Mesic Deciduous Forest." In Mathematical Biology and Bioinformatics. Pushchino: IMPB RAS - Branch of KIAM RAS, 2020. http://dx.doi.org/10.17537/icmbb20.34.

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Maarof, Fauziah, Mohd Adi Faiz Ahmad Fauzi, and Shamsiah Mohamed. "Statistical models related to accumulated biomass of Hopea odorata in three soil series of ultisols." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887703.

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Gorthi, Swathi, and Huifang Dou. "Prediction Models for the Estimation of Soil Moisture Content." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48259.

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This paper provides a survey on different kinds of prediction models developed for the estimation of soil moisture content of an area, using empirical information including meteorological and remotely sensed data. The different models employed extend over a wide range of machine learning techniques starting from Basic Linear Regression models through models based on Bayesian framework, Decision tree learning and Recursive partitioning, to the modern non-linear statistical data modeling tools like Artificial Neural Networks. The fundamental mathematical backgrounds, pros and cons, prediction results and efficiencies of all the models are discussed.
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Zavyalov, Alexander. "Basic mathematical models of the interaction processes between working organs of road construction machines and soil." In 2014 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2014. http://dx.doi.org/10.1109/dynamics.2014.7005704.

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Yang, Y. G., W. Zhang, and G. Yang. "Mathematical Models for Controlling Wetted Soil Masses Forming under the Practice of Water Added Corn seeding." In International Conference on Computer Information Systems and Industrial Applications. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/cisia-15.2015.204.

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Jensen, Gullik A., and Thor I. Fossen. "Mathematical Models for Model-Based Control in Offshore Pipelay Operations." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79372.

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This paper considers mathematical models for model-based controller design in offshore pipelay operations. Three classes of models for control design are discussed, real-world models suitable for controller design verification, controller and observer models which are used on-line in the control system implementation. The control application place requirements on the model with respect to the computational time, dynamic behavior, stability and accuracy. Models such as the beam model, two catenary models, as well as general finite element (FE) models obtained from computer programs were not able to meet all of the requirements, and two recent dynamic models designed for control are presented, which bridge the gap between the simple analytical and more complex FE models. For completeness, modeling of the pipelay vessel, stinger and roller interaction, soil and seabed interaction and environmental loads are discussed.
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Beaudet, Robert A. "Simple Mathematical Models for Estimating the Bio-Contamination Transported from a Lander or a Rover to the Martian Soil." In International Conference On Environmental Systems. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2000. http://dx.doi.org/10.4271/2000-01-2422.

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Wakeham, A., G. Keane, M. Proctor, and R. Kennedy. "Monitoring infection risk for air and soil borne fungal plant pathogens using antibody and DNA techniques and mathematical models describing environmental parameters." In MICROBES IN APPLIED RESEARCH - Current Advances and Challenges. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814405041_0030.

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Petru, Cardei, Oprescu Remus Marius, Muraru Vergil, Muraru Sebastian, and Muraru-Ionel Cornelia. "PERIODIC DRAFT TILLAGE FORCES IN SOIL WORKING PROCESSES OF AGRICULTURAL EQUIPMENT." In GEOLINKS Conference Proceedings. Saima Consult Ltd, 2021. http://dx.doi.org/10.32008/geolinks2021/b1/v3/38.

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The article presents results of the mathematical modelling of the tensile strength for equipment for opening and compartmentalizing watering furrows. This agricultural machine develops a less common traction force, with two components, one of which with oscillates behavior. The mathematical model given in the paper provides calculation formulas for the static component and for the dynamic component. Model constants are used to calibrate the model using existing experimental data for this type of machine. The paper it is specified the dynamics problems of agricultural machines in which such models are needed
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