7,979 research outputs found
Impact of pressure dissipation on fluid injection into layered aquifers
Carbon dioxide (CO2) capture and subsurface storage is one method for
reducing anthropogenic CO2 emissions to mitigate climate change. It is well
known that large-scale fluid injection into the subsurface leads to a buildup
in pressure that gradually spreads and dissipates through lateral and vertical
migration of water. This dissipation can have an important feedback on the
shape of the CO2 plume during injection, and the impact of vertical pressure
dissipation, in particular, remains poorly understood. Here, we investigate the
impact of lateral and vertical pressure dissipation on the injection of CO2
into a layered aquifer system. We develop a compressible, two-phase model that
couples pressure dissipation to the propagation of a CO2 gravity current. We
show that our vertically integrated, sharp-interface model is capable of
efficiently and accurately capturing water migration in a layered aquifer
system with an arbitrary number of aquifers. We identify two limiting cases ---
`no leakage' and `strong leakage' --- in which we derive analytical expressions
for the water pressure field for the corresponding single-phase injection
problem. We demonstrate that pressure dissipation acts to suppress the
formation of an advancing CO2 tongue during injection, resulting in a plume
with a reduced lateral extent. The properties of the seals and the number of
aquifers determine the strength of pressure dissipation and subsequent coupling
with the CO2 plume. The impact of pressure dissipation on the shape of the CO2
plume is likely to be important for storage efficiency and security
Theory of controlled quantum dynamics
We introduce a general formalism, based on the stochastic formulation of
quantum mechanics, to obtain localized quasi-classical wave packets as
dynamically controlled systems, for arbitrary anharmonic potentials. The
control is in general linear, and it amounts to introduce additional quadratic
and linear time-dependent terms to the given potential. In this way one can
construct for general systems either coherent packets moving with constant
dispersion, or dynamically squeezed packets whose spreading remains bounded for
all times. In the standard operatorial framework our scheme corresponds to a
suitable generalization of the displacement and scaling operators that generate
the coherent and squeezed states of the harmonic oscillator.Comment: LaTeX, A4wide, 28 pages, no figures. To appear in J. Phys. A: Math.
Gen., April 199
Magnetic superlattice and finite-energy Dirac points in graphene
We study the band structure of graphene's Dirac-Weyl quasi-particles in a one-dimensional magnetic superlattice formed by a periodic sequence of alternating magnetic barriers. The spectrum and the nature of the states strongly depend on the conserved longitudinal momentum and on the barrier width. At the center of the superlattice Brillouin zone we find new Dirac points at finite energies where the dispersion is highly anisotropic, in contrast to the dispersion close to the neutrality point which remains isotropic. This finding suggests the possibility of collimating Dirac-Weyl quasi-particles by tuning the doping
Von Neumann's expanding model on random graphs
Within the framework of Von Neumann's expanding model, we study the maximum
growth rate r achievable by an autocatalytic reaction network in which
reactions involve a finite (fixed or fluctuating) number D of reagents. r is
calculated numerically using a variant of the Minover algorithm, and
analytically via the cavity method for disordered systems. As the ratio between
the number of reactions and that of reagents increases the system passes from a
contracting (r1). These results extend the
scenario derived in the fully connected model (D\to\infinity), with the
important difference that, generically, larger growth rates are achievable in
the expanding phase for finite D and in more diluted networks. Moreover, the
range of attainable values of r shrinks as the connectivity increases.Comment: 20 page
The policyscape of transgender equality and gender diversity in the Western Australian education system: A case study
In this paper, our purpose is to investigate policy informing texts and discourses referencing transgender equality and gender diversity in the Western Australian education system. Drawing on scholarship from transgender, queer and policy studies, we highlight the interplay of progressive and conservative forces affecting the Western Australian education system’s commitment to supporting transgender and gender non-binary students. Based on a Social Sciences and Humanities Research Council of Canada (SSHRC) project, the paper constructs a Western Australian case study, which threads together the critical examination of policy informing texts, qualitative interview data and media discourses surrounding public narratives, such as the Safe School Coalition Australia’s attempt to implement a school program, which builds awareness about gender and sexual diversity. Emerging through the material, discursive and spatial elements of locales and networks, our case study has the potential to deepen knowledge regarding the heuristic capacity of employing policyscape as an analytic category. In this vein, we draw attention to the possibilities and challenges for re-conceptualizing gender and providing trans-affirmative school spaces that promote equality
Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
Algorithms are presented for the tanh- and sech-methods, which lead to
closed-form solutions of nonlinear ordinary and partial differential equations
(ODEs and PDEs). New algorithms are given to find exact polynomial solutions of
ODEs and PDEs in terms of Jacobi's elliptic functions.
For systems with parameters, the algorithms determine the conditions on the
parameters so that the differential equations admit polynomial solutions in
tanh, sech, combinations thereof, Jacobi's sn or cn functions. Examples
illustrate key steps of the algorithms.
The new algorithms are implemented in Mathematica. The package
DDESpecialSolutions.m can be used to automatically compute new special
solutions of nonlinear PDEs. Use of the package, implementation issues, scope,
limitations, and future extensions of the software are addressed.
A survey is given of related algorithms and symbolic software to compute
exact solutions of nonlinear differential equations.Comment: 39 pages. Software available from Willy Hereman's home page at
http://www.mines.edu/fs_home/whereman
TESTING OF ENHANCED CHEMICAL CLEANING OF SRS ACTUAL WASTE TANK 5F AND TANK 12H SLUDGES
Forty three of the High Level Waste (HLW) tanks at the Savannah River Site (SRS) have internal structures that hinder removal of the last approximately five thousand gallons of waste sludge solely by mechanical means. Chemical cleaning can be utilized to dissolve the sludge heel with oxalic acid (OA) and pump the material to a separate waste tank in preparation for final disposition. This dissolved sludge material is pH adjusted downstream of the dissolution process, precipitating the sludge components along with sodium oxalate solids. The large quantities of sodium oxalate and other metal oxalates formed impact downstream processes by requiring additional washing during sludge batch preparation and increase the amount of material that must be processed in the tank farm evaporator systems and the Saltstone Processing Facility. Enhanced Chemical Cleaning (ECC) was identified as a potential method for greatly reducing the impact of oxalate additions to the SRS Tank Farms without adding additional components to the waste that would extend processing or increase waste form volumes. In support of Savannah River Site (SRS) tank closure efforts, the Savannah River National Laboratory (SRNL) conducted Real Waste Testing (RWT) to evaluate an alternative to the baseline 8 wt. % OA chemical cleaning technology for tank sludge heel removal. The baseline OA technology results in the addition of significant volumes of oxalate salts to the SRS tank farm and there is insufficient space to accommodate the neutralized streams resulting from the treatment of the multiple remaining waste tanks requiring closure. ECC is a promising alternative to bulk OA cleaning, which utilizes a more dilute OA (nominally 2 wt. % at a pH of around 2) and an oxalate destruction technology. The technology is being adapted by AREVA from their decontamination technology for Nuclear Power Plant secondary side scale removal. This report contains results from the SRNL small scale testing of the ECC process using SRS sludge tank sample material. A Task Technical and Quality Assurance Plan (TTQAP) details the experimental plan as outlined by the Technical Task Request (TTR). The TTR identifies that the data produced by this testing and results included in this report will support the technical baseline with portions having a safety class functional classification. The primary goals for SRNL RWT are as follows: (1) to confirm ECC performance with real tank sludge samples, (2) to determine the impact of ECC on fate of actinides and the other sludge metals, and (3) to determine changes, if any, in solids flow and settling behavior
Dynamic facilitation picture of a higher-order glass singularity
We show that facilitated spin mixtures with a tunable facilitation reproduce,
on a Bethe lattice, the simplest higher-order singularity scenario predicted by
the mode-coupling theory (MCT) of liquid-glass transition. Depending on the
facilitation strength, they yield either a hybrid glass transition or a
continuous one, with no underlying thermodynamic singularity. Similar results
are obtained for facilitated spin models on a diluted Bethe lattice. The
mechanism of dynamical arrest in these systems can be interpreted in terms of
bootstrap and standard percolation and corresponds to a crossover from a
compact to a fractal structure of the incipient spanning cluster of frozen
spins. Theoretical and numerical simulation results are fully consistent with
MCT predictions.Comment: 4 pages, 3 figures; minor change
Conductance quantization and snake states in graphene magnetic waveguides
We consider electron waveguides (quantum wires) in graphene created by
suitable inhomogeneous magnetic fields. The properties of uni-directional snake
states are discussed. For a certain magnetic field profile, two spatially
separated counter-propagating snake states are formed, leading to conductance
quantization insensitive to backscattering by impurities or irregularities of
the magnetic field.Comment: 5 pages, 4 figures, final version accepted as Rapid Comm. in PR
Multi-market minority game: breaking the symmetry of choice
Generalization of the minority game to more than one market is considered. At
each time step every agent chooses one of its strategies and acts on the market
related to this strategy. If the payoff function allows for strong fluctuation
of utility then market occupancies become inhomogeneous with preference given
to this market where the fluctuation occured first. There exists a critical
size of agent population above which agents on bigger market behave
collectively. In this regime there always exists a history of decisions for
which all agents on a bigger market react identically.Comment: 15 pages, 12 figures, Accepted to 'Advances in Complex Systems
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