Relevant bibliographies by topics / Linear homogeneous

Academic literature on the topic 'Linear homogeneous'

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Published: 6 September 2023

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Journal articles on the topic "Linear homogeneous"

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S. Mohan, S. Mohan, and Dr S. Sekar Dr. S. Sekar. "Linear Programming Problem with Homogeneous Constraints." Indian Journal of Applied Research 4, no. 3 (October 1, 2011): 298–307. http://dx.doi.org/10.15373/2249555x/mar2014/90.

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Zaballa, Ion, and Juan M. Gracia. "On difference linear periodic systems II. Non-homogeneous case." Applications of Mathematics 30, no. 6 (1985): 403–12. http://dx.doi.org/10.21136/am.1985.104170.

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Schinzel, A., and M. Zakarczemny. "On a linear homogeneous congruence." Colloquium Mathematicum 106, no. 2 (2006): 283–92. http://dx.doi.org/10.4064/cm106-2-8.

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Buck, Matthew. "Non-Linear Homogeneous Differential Polynomials." Computational Methods and Function Theory 12, no. 1 (November 30, 2011): 145–50. http://dx.doi.org/10.1007/bf03321818.

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Maxson, C. J., and Marcel Wild. "When are Homogeneous Functions Linear?" Results in Mathematics 47, no. 1-2 (March 2005): 122–29. http://dx.doi.org/10.1007/bf03323017.

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Devillers, Alice, and Jean Doyen. "Homogeneous and Ultrahomogeneous Linear Spaces." Journal of Combinatorial Theory, Series A 84, no. 2 (November 1998): 236–41. http://dx.doi.org/10.1006/jcta.1998.2887.

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Tunçel, Levent, and Lieven Vandenberghe. "Linear optimization over homogeneous matrix cones." Acta Numerica 32 (May 2023): 675–747. http://dx.doi.org/10.1017/s0962492922000113.

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A convex cone is homogeneous if its automorphism group acts transitively on the interior of the cone. Cones that are homogeneous and self-dual are called symmetric. Conic optimization problems over symmetric cones have been extensively studied, particularly in the literature on interior-point algorithms, and as the foundation of modelling tools for convex optimization. In this paper we consider the less well-studied conic optimization problems over cones that are homogeneous but not necessarily self-dual.We start with cones of positive semidefinite symmetric matrices with a given sparsity pattern. Homogeneous cones in this class are characterized by nested block-arrow sparsity patterns, a subset of the chordal sparsity patterns. Chordal sparsity guarantees that positive define matrices in the cone have zero-fill Cholesky factorizations. The stronger properties that make the cone homogeneous guarantee that the inverse Cholesky factors have the same zero-fill pattern. We describe transitive subsets of the cone automorphism groups, and important properties of the composition of log-det barriers with the automorphisms.Next, we consider extensions to linear slices of the positive semidefinite cone, and review conditions that make such cones homogeneous. An important example is the matrix norm cone, the epigraph of a quadratic-over-linear matrix function. The properties of homogeneous sparse matrix cones are shown to extend to this more general class of homogeneous matrix cones.We then give an overview of the algebraic theory of homogeneous cones due to Vinberg and Rothaus. A fundamental consequence of this theory is that every homogeneous cone admits a spectrahedral (linear matrix inequality) representation.We conclude by discussing the role of homogeneous structure in primal–dual symmetric interior-point methods, contrasting this with the well-developed algorithms for symmetric cones that exploit the strong properties of self-scaled barriers, and with symmetric primal–dual methods for general convex cones.
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Neuhaus, Walther. "Mutual Reinsurance and Homogeneous Linear Estimation." ASTIN Bulletin 19, no. 2 (November 1989): 213–21. http://dx.doi.org/10.2143/ast.19.2.2014910.

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AbstractThe technique of risk invariant linear estimation from Neuhaus (1988) has been applied in the construction of a mutual quota share reinsurance pool between the subsidiary companies of the Storebrand Insurance Company, Oslo. The paper describes the construction of the reinsurance scheme.
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Kharrat, Thouraya. "Stability of homogeneous non-linear systems." IMA Journal of Mathematical Control and Information 34, no. 2 (September 29, 2015): 451–61. http://dx.doi.org/10.1093/imamci/dnv050.

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Ramakrishnan, Fussell, and Silberschatz. "Mapping Homogeneous Graphs on Linear Arrays." IEEE Transactions on Computers C-35, no. 3 (March 1986): 189–209. http://dx.doi.org/10.1109/tc.1986.1676744.

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Dissertations / Theses on the topic "Linear homogeneous"

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Pribadi, Aaron. "Algebraic Methods for Log-Linear Models." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/41.

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Techniques from representation theory (Diaconis, 1988) and algebraic geometry (Drton et al., 2008) have been applied to the statistical analysis of discrete data with log-linear models. With these ideas in mind, we discuss the selection of sparse log-linear models, especially for binary data and data on other structured sample spaces. When a sample space and its symmetry group satisfy certain conditions, we construct a natural spanning set for the space of functions on the sample space which respects the isotypic decomposition; these vectors may be used in algorithms for model selection. The construction is explicitly carried out for the case of binary data.
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Stefanov, Atanas. "On homogeneous Calderón-Zygmund operators with rough kernels /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9951125.

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Belloni, Alexandre, and Robert M. Freund. "Projective Pre-Conditioners for Improving the Behavior of a Homogeneous Conic Linear System." Massachusetts Institute of Technology, Operations Research Center, 2005. http://hdl.handle.net/1721.1/17074.

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In this paper we present a general theory for transforming a normalized homogeneous conic system F : Ax = 0, s'x = 1, x in C to an equivalent system via projective transformation induced by the choice of a point w in the set H'(s) = { v : s - A'v in C*}. Such a projective transformation serves to pre-condition the conic system into a system that has both geometric and computational properties with certain guarantees. We characterize both the geometric behavior and the computational behavior of the transformed system as a function of the symmetry of w in H'(s) as well as the complexity parameter of the barrier for C. Under the assumption that F has an interior solution, H'(s) must contain a point w whose symmetry is at least 1/m; if we can find a point whose symmetry is O(1/m) then we can projectively transform the conic system to one whose geometric properties and computational complexity will be strongly-polynomial-time in m and the barrier parameter. We present a method for generating such a point w based on sampling and on a geometric random walk on H'(s) with associated complexity and probabilistic analysis. Finally, we implement this methodology on randomly generated homogeneous linear programming feasibility problems, constructed to be poorly behaved. Our computational results indicate that the projective pre-conditioning methodology holds the promise to markedly reduce the overall computation time for conic feasibility problems; for instance we observe a 46% decrease in average IPM iterations for 100 randomly generated poorly-behaved problem instances of dimension 1000 × 5000.
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Kasperski, Michael William. "Multiple model estimation for linear stochastic hybrid systems with non-homogeneous transition probabilities." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/101496.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 61-64).
This thesis investigates the field of stochastic hybrid estimation. A broad introduction to the framework surrounding estimation, filtering, and multiple model based systems is presented. More specifically, the often made assumption of a constant time-invariant mode transition probability matrix is relaxed. Recent work done in the area of non-Markov jump stochastic hybrid systems is explored, including semi- Markov systems, non-homogeneous transition probability matrices, and continuous-state-dependent mode transitions. Algorithms needed to develop linear multiple model based filters with non-homogeneous transition probabilities are detailed. Finally, a case study for the practical implementation of an extended Kalman filter in the application of attitude heading and reference systems is conducted.
by Michael William Kasperski.
S.M.
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Siletti, E. "Homogeneous Linear Predictor Models Specified by Constraints on the Goodman and Kruskal Tau Index." Doctoral thesis, Università degli Studi di Milano, 2008. http://hdl.handle.net/2434/484183.

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In this work we focus our research in Lang’s HLP models for contingency tables, constraining the expected table counts through the Goodman and Kruskal tau-b and, or the Gini’s index. Although we have used them, a lot of other measures can be used in this kind of models. For example, to measure association in discrete variable we could use odds ratios or coefficients derived from them such as the Goodman and Kruskal’s gamma or Kendall’s tau. For HLP models link function is allowed to be many-to-one and nonlinear. If the link functions are many to one as in our work, it is generally not possible to re-express the likelihood in terms of the linear predictor parameter β alone. This is one of the main reason that the ML approach has in the past typically been abandoned in favour of alternative fitting methods. Although less of an issue today, ML estimation was also avoided in the past because of computational complexity. Following Lang’s approach we use ML estimation which is an attractive alternative to non iterative weighted least squares for several reason: including model based estimates of cell probabilities along with cell specific residuals are available; likelihood ratio and score statistics are available and, unlike the Wald statistics, are invariant to the model parameterization; profile likelihood confidence intervals are available; smoothed estimates of the link function variance are used, mitigating potential problems with zero counts; the ML estimation method does not require full rank link function Jacobian; ML estimates are invariant; and estimators have higher order efficiency properties that are not shared by WLS estimators. In order to calculate the derivatives respect to the joint probabilities of the link functions we have introduced the exp-log notation, in this way, only the derivative matrix of this formula has been implemented and derived. Then, because following Lang the constraint functions for HLP models must be function of the single variable m, to use the Goodman and Kruskal measure of association and the Gini’s heterogeneity index as constraints, we have specified them in the exp-log notation using the expected counts. To use them in existing Lang’s computer procedure mph.fit, we have written some new R’s functions. Two functions which calculate the measures using expected counts and exp-log notation; and two function which calculate their derivatives.
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Yuan, Chaogui. "On non-homogeneous quasi-linear PDEs involving the p-Laplacian and the critical Sobolev exponent." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0007/NQ27272.pdf.

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Person, Axelle. "Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order." Rennes 1, 2002. http://www.theses.fr/2002REN1A007.

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Koroma, Samuel Gerald. "Vibration of beams on non-linear and non-homogeneous elastic foundations with applications to railway tracks." Thesis, University of Nottingham, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.756108.

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The ever growing demand for public transportation and the need to integrate effective transport systems into urban life have led to an increase in the planning and construction of new railway systems in many countries around the world. These projects boast immense economic benefits, including high passenger capacity and reduction in commuting times. However, they are strongly opposed from an environmental point of view, not least the noise and vibration that are generated from their operations and subsequently transmitted into nearby buildings. In order to reduce the level of impact of the rail vehicles on the tracks, and subsequently the environment, railway tracks are commonly constructed with resilient elements, e.g. railpads. The dynamic properties of these elements have significant effects on noise generation, track and ground-borne vibration. It is important to develop understanding of the dynamic behaviour of railway tracks, through numerical modelling and/or experimental testing, in order to devise effective vibration countermeasures. To this end, many numerical models have been developed, most of which assumed linear and homogeneous track properties. However, many studies have shown that resilient elements exhibit pronounced nonlinear behaviour and that variability in track properties exists along the length of the track. In this study, novel approaches for incorporating nonhomogeneous and non-linear railpad properties in the modelling of railway track dynamics have been developed. A new method, called the Double Fourier Summation, have been used to account for nonhomogeneity in track foundation properties. To account for nonlinearity, on the other hand, constitutive relationships have been derived for the static and dynamic rail pad properties based on experimental data. These are then included into a time domain finite elements track model in order to study the effects of nonlinearity on track dynamics. The key findings of this research emphasise the necessity of including non-homogeneous and nonlinear behaviour of track resilience into the modelling of track dynamics. Large disparities in the track displacement, reaction-forces and wheel/rail interaction forces (more than 20 dB in some cases), have been observed between simplified linear homogeneous models and the more complex nonhomogeneous and nonlinear models presented in this work.
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Junkins, Caroline. "The Grothendieck Gamma Filtration, the Tits Algebras, and the J-invariant of a Linear Algebraic Group." Thesis, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31331.

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Consider a semisimple linear algebraic group G over an arbitrary field F, and a projective homogeneous G-variety X. The geometry of such varieties has been a consistently active subject of research in algebraic geometry for decades, with significant contributions made by Grothendieck, Demazure, Tits, Panin, and Merkurjev, among others. An effective tool for the classification of these varieties is the notion of a cohomological (or alternatively, a motivic) invariant. Two such invariants are the set of Tits algebras of G defined by J. Tits, and the J-invariant of G defined by Petrov, Semenov, and Zainoulline. Quéguiner-Mathieu, Semenov and Zainoulline discovered a connection between these invariants, which they developed through use of the second Chern class map. The first goal of the present thesis is to extend this connection through the use of higher Chern class maps. Our main technical tool is the Steinberg basis, which provides explicit generators for the γ-filtration on the Grothendieck group K_0(X) in terms of characteristic classes of line bundles over X. As an application, we establish a connection between the J-invariant and the Tits algebras of a group G of inner type E6. The second goal of this thesis is to relate the indices of the Tits algebras of G to nontrivial torsion elements in the γ-filtration on K_0(X). While the Steinberg basis provides an explicit set of generators of the γ-filtration, the relations are not easily computed. A tool introduced by Zainoulline called the twisted γ-filtration acts as a surjective image of the γ-filtration, with explicit sets of both generators and relations. We use this tool to construct torsion elements in the degree 2 component of the γ-filtration for groups of inner type D2n. Such a group corresponds to an algebra A endowed with an orthogonal involution having trivial discriminant. In the trialitarian case (i.e. type D4), we construct a specific element in the γ-filtration which detects splitting of the associated Tits algebras. We then relate the non-triviality of this element to other properties of the trialitarian triple such as decomposability and hyperbolicity.
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Montcalm, Michael R. "Scheduling Algorithms for Instruction Set Extended Symmetrical Homogeneous Multiprocessor Systems-on-Chip." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/20056.

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Embedded system designers face multiple challenges in fulfilling the runtime requirements of programs. Effective scheduling of programs is required to extract as much parallelism as possible. These scheduling algorithms must also improve speedup after instruction-set extensions have occurred. Scheduling of dynamic code at run time is made more difficult when the static components of the program are scheduled inefficiently. This research aims to optimize a program’s static code at compile time. This is achieved with four algorithms designed to schedule code at the task and instruction level. Additionally, the algorithms improve scheduling using instruction set extended code on symmetrical homogeneous multiprocessor systems. Using these algorithms, we achieve speedups up to 3.86X over sequential execution for a 4-issue 2-processor system, and show better performance than recent heuristic techniques for small programs. Finally, the algorithms generate speedup values for a 64-point FFT that are similar to the test runs.
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Books on the topic "Linear homogeneous"

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Hilton, Harold. Homogeneous linear substitutions. [Place of publication not identified]: Nabu Press, 2010.

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service), SpringerLink (Online, ed. Homogeneous Spaces and Equivariant Embeddings. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Fund, International Monetary, ed. Long memory processes and chronic inflation: Detecting homogeneous components in a linear rational expectation model. Washington, D.C: International Monetary Fund, 1994.

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1938-, Griffiths Phillip, and Kerr Matthew D. 1975-, eds. Hodge theory, complex geometry, and representation theory. Providence, Rhode Island: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2013.

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Doran, Robert S., 1937- editor of compilation, Friedman, Greg, 1973- editor of compilation, and Nollet, Scott, 1962- editor of compilation, eds. Hodge theory, complex geometry, and representation theory: NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas. Providence, Rhode Island: American Mathematical Society, 2013.

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Spaces of constant curvature. 6th ed. Providence, R.I: AMS Chelsea Pub., 2011.

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Homogeneous linear substitutions. Oxford, 1991.

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Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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Timashev, D. A. Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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Homogeneous Spaces and Equivariant Embeddings. Springer, 2011.

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Book chapters on the topic "Linear homogeneous"

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Lie, Sophus. "Linear Homogeneous Groups." In Theory of Transformation Groups I, 581–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46211-9_27.

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Redfern, Darren, and Edgar Chandler. "Homogeneous Linear Differential Equations." In The Maple® O.D.E. Lab Book, 56–64. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2402-0_6.

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Seno, Hiromi. "Homogeneous Linear Difference Equation." In A Primer on Population Dynamics Modeling, 373–82. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-6016-1_11.

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Sagaut, Pierre, and Claude Cambon. "Linear Interaction Approximation for Shock/Perturbation Interaction." In Homogeneous Turbulence Dynamics, 777–829. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73162-9_16.

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Houlding, Virginia H., and Arthur J. Frank. "Linear Chain Platinum Complexes as Photocatalysts." In Homogeneous and Heterogeneous Photocatalysis, 199–211. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4642-2_11.

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Sagaut, Pierre, and Claude Cambon. "The Essentials of Linear and Nonlinear Theories and Models." In Homogeneous Turbulence Dynamics, 831–80. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-73162-9_17.

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Calvaruso, Giovanni, and Marco Castrillón López. "Homogeneous Structures of Linear Type." In Developments in Mathematics, 133–69. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18152-9_5.

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Waldschmidt, Michel. "Homogeneous Measures of Linear Independence." In Diophantine Approximation on Linear Algebraic Groups, 187–229. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-11569-5_7.

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Yu, Yi-Yuan. "Linear Modeling of Homogeneous Plates." In Vibrations of Elastic Plates, 57–89. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2338-2_3.

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Redfern, Darren, and Edgar Chandler. "Non-homogeneous Linear Differential Equations." In The Maple® O.D.E. Lab Book, 65–70. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2402-0_7.

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Conference papers on the topic "Linear homogeneous"

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Ivanov, Gennadiy G., and Artem S. Sharlay. "On stability of linear homogeneous switched systems." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342039.

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Li, Yi, Chuancan Li, Wenyuan Wu, and Yong Feng. "Termination of Two Variable Homogeneous Linear Loops." In 2013 Sixth International Conference on Business Intelligence and Financial Engineering (BIFE). IEEE, 2013. http://dx.doi.org/10.1109/bife.2013.3.

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Liang, Yi, Hao Yang, Hongyan Tan, and Jinzhao Wu. "Approximation of Homogeneous Linear Algebraic Transition Systems." In 2013 International Conference on Software Engineering and Computer Science. Paris, France: Atlantis Press, 2013. http://dx.doi.org/10.2991/icsecs-13.2013.27.

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Frerix, Thomas, Matthias Niesner, and Daniel Cremers. "Homogeneous Linear Inequality Constraints for Neural Network Activations." In 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW). IEEE, 2020. http://dx.doi.org/10.1109/cvprw50498.2020.00382.

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Ulmer, F., and J. Calmet. "On Liouvillian solutions of homogeneous linear differential equations." In the international symposium. New York, New York, USA: ACM Press, 1990. http://dx.doi.org/10.1145/96877.96936.

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Ong, Chong Jin, and Ilayda Canyakmaz. "Consensus of Network of Unstable Homogeneous Linear Systems." In 2022 IEEE 61st Conference on Decision and Control (CDC). IEEE, 2022. http://dx.doi.org/10.1109/cdc51059.2022.9992687.

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Li, Chuancan, Yi Li, and Yong Feng. "Termination of initialized two variable homogeneous linear loops." In 2015 6th IEEE International Conference on Software Engineering and Service Science (ICSESS). IEEE, 2015. http://dx.doi.org/10.1109/icsess.2015.7339097.

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He, Jun, Lijuan Li, Ximei Li, and Chunming Tang. "Verifiable Multi-Secret Sharing Schemes from Homogeneous Linear Recursion." In 2010 2nd International Conference on E-business and Information System Security (EBISS 2010). IEEE, 2010. http://dx.doi.org/10.1109/ebiss.2010.5473686.

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Simon, Guillaume, Fabien S. Godeferd, Claude Cambon, and Abdelaziz Salhi. "HOMOGENEOUS TURBULENCE WITH BAROCLINIC INSTABILITY: LINEAR THEORY AND SIMULATIONS." In Sixth International Symposium on Turbulence and Shear Flow Phenomena. Connecticut: Begellhouse, 2009. http://dx.doi.org/10.1615/tsfp6.2020.

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Ivanov, Gennady, Gennady Alferov, Artem Sharlay, and Polina Efimova. "Conditions of asymptotic stability for linear homogeneous switched systems." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992263.

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Reports on the topic "Linear homogeneous"

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Janson Wu, Nicholas Paradiso, Peter Van Blarigan, and Scott Goldsborough. Homogeneous Charge Compression Ignition Free Piston Linear Alternator. Office of Scientific and Technical Information (OSTI), November 1998. http://dx.doi.org/10.2172/5977.

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Whiting, Joshua J., Louis Anthony Romero, and Michael L. Parks. A reduced order model for the study of asymmetries in linear gas chromatography for homogeneous tubular columns. Office of Scientific and Technical Information (OSTI), August 2005. http://dx.doi.org/10.2172/923173.

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Patil and Cerkovnik. PR-425-123722-R01 Internally Lined Steel Risers as an Alternative to CRAs. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), October 2013. http://dx.doi.org/10.55274/r0010573.

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Carbon steel and low alloy steel are the common, cost effective materials of choice for design of production risers in deep water. They are, however, often challenged by high stress and fatigue loadings. When production fluids are corrosive and or sour, steel risers may not be feasible without the protection from corrosive effects. To mitigate degradation, the only proven solution to date is the use of corrosion resistant alloys (CRA), either in homogeneous or clad/lined steel pipe product. However, corrosion resistant alloys are very expensive and market supply is limited due to the number of developments worldwide requiring CRA solutions and the limited number mills capable of supplying the product. This study looks at the feasibility and current state of development of alternatives to clad steel in steel catenary risers (SCR). The study focuses on polymer liners and coatings as a way to prolong the life of the risers in corrosive hydrocarbon service. The study includes an industry survey of candidate liners and a risk assessment based on the threats and failure modes. FMECA is conducted on the more promising candidates. The gaps in the knowledge base are identified and a map of further qualification requirements is made. SCRs are currently fabricated with girth welds. However, there is significant amount of testing that indicates that mechanical connectors are a feasible alternative. The potential use of mechanical connectors in conjunction with a coating or liner solution to mitigate corrosion risks is also addressed.
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Esparza and Westine. L51482 Well Casing Response to Buried Explosive Detonations. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), July 1985. http://dx.doi.org/10.55274/r0010272.

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Occasionally, buried explosives are used within proximity of producing oil and gas wells which increases the stresses in the casing near the explosion which may result in failure of the well. A procedure was needed for predicting the maximum stresses in producing oil and gas wells, specifically the well casing, induced by nearby, buried, explosive detonations. An extensive experimental and analytical program were funded and performed over a six (6) year period 1975-1981. The program was divided into two (2) parts: In the first part, similitude theory, empirical analyses and test data were used to derive equations for estimating maximum ground displacement and particle velocity. The ground motions provided the forcing function imparted to a buried pipeline. In the second part, similitude theory, conservation of mass and momentum, and approximate energy methods were used to derive functional relationships for the maximum pipe strains and stresses. Experimental data from more than sixty (60) field tests ere used to develop equations for estimating maximum pipe stresses induced by point and parallel line explosive sources buried in homogeneous soil media. The pipe stress and ground motion data from these experiments were used to develop an equation for computing an effective standoff distance so that the point source soil equations could be used to approximate the casing response. The large amount of data used and the wide range of these data make the solutions applicable to most blasting situations near producing oil and gas wells. This report provides comprehensive and detailed information for pipeline as well as oil and gas operators to predict the effect of buried explosives and thus the safety of a well(s) while in-service through proper assessment of stresses and guidelines for the appropriate selection of explosive charges, techniques and methods. This will avoid unexpected damages, operational costs, provide guidance for \operator qualification\" for blasting near in-service wells and minimize liabilities to the operator.
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5

Pullammanappallil, Pratap, Haim Kalman, and Jennifer Curtis. Investigation of particulate flow behavior in a continuous, high solids, leach-bed biogasification system. United States Department of Agriculture, January 2015. http://dx.doi.org/10.32747/2015.7600038.bard.

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Recent concerns regarding global warming and energy security have accelerated research and developmental efforts to produce biofuels from agricultural and forestry residues, and energy crops. Anaerobic digestion is a promising process for producing biogas-biofuel from biomass feedstocks. However, there is a need for new reactor designs and operating considerations to process fibrous biomass feedstocks. In this research project, the multiphase flow behavior of biomass particles was investigated. The objective was accomplished through both simulation and experimentation. The simulations included both particle-level and bulk flow simulations. Successful computational fluid dynamics (CFD) simulation of multiphase flow in the digester is dependent on the accuracy of constitutive models which describe (1) the particle phase stress due to particle interactions, (2) the particle phase dissipation due to inelastic interactions between particles and (3) the drag force between the fibres and the digester fluid. Discrete Element Method (DEM) simulations of Homogeneous Cooling Systems (HCS) were used to develop a particle phase dissipation rate model for non-spherical particle systems that was incorporated in a two-fluid CFDmultiphase flow model framework. Two types of frictionless, elongated particle models were compared in the HCS simulations: glued-sphere and true cylinder. A new model for drag for elongated fibres was developed which depends on Reynolds number, solids fraction, and fibre aspect ratio. Schulze shear test results could be used to calibrate particle-particle friction for DEM simulations. Several experimental measurements were taken for biomass particles like olive pulp, orange peels, wheat straw, semolina, and wheat grains. Using a compression tester, the breakage force, breakage energy, yield force, elastic stiffness and Young’s modulus were measured. Measurements were made in a shear tester to determine unconfined yield stress, major principal stress, effective angle of internal friction and internal friction angle. A liquid fludized bed system was used to determine critical velocity of fluidization for these materials. Transport measurements for pneumatic conveying were also assessed. Anaerobic digestion experiments were conducted using orange peel waste, olive pulp and wheat straw. Orange peel waste and olive pulp could be anaerobically digested to produce high methane yields. Wheat straw was not digestible. In a packed bed reactor, anaerobic digestion was not initiated above bulk densities of 100 kg/m³ for peel waste and 75 kg/m³ for olive pulp. Interestingly, after the digestion has been initiated and balanced methanogenesis established, the decomposing biomass could be packed to higher densities and successfully digested. These observations provided useful insights for high throughput reactor designs. Another outcome from this project was the development of low cost devices to measure methane content of biogas for off-line (US$37), field (US$50), and online (US$107) applications.
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