Abstract Isobaric (200 MPa) experiments have been performed to investigate the effects of H2O alone or in combination with P, S, F or Cl on the phase relations and elemental and oxygen isotopic partitioning between immiscible silicate melts in the systems Fe2SiO4-Fe3O4-KAlSi2O6-SiO2, Fe3O4-KAlSi2O6-SiO2 and Fe3O4-Fe2O3-KAlSi2O6-SiO2 +/- plagioclase (An50). Experiments were heated in a newly-designed rapid-quench internally-heated pressure vessel at 1075, 1150 or 1200 oC for 2 hours. Water alone or in combination with P, S, or F significantly increases the temperature and composition range of two-liquid fields at fO2= NNO and MH buffers. Water-induced suppression of liquidus temperatures, considered with the effects of pressure on two-liquid fields stability in silicate melts, suggests that liquid phase separation may occur in some volatile-rich silicate magmas at pressures up to 2GPa. Two-liquid partition coefficients for Fe, Si, P and S correlate well with the degree of polymerization of the SiO2-rich conjugate melts and the data can be applied to assess the involvement of liquid-phase separation in the genesis of coexisting volatile-rich magmas. The partitioning of trace concentrations of selected HFSE, REE and transition elements between immiscible experimental volatile-rich melts at 1200 oC, 200 MPa has been determined at QFM, NNO and MH oxygen buffers. Water generally increases the partitioning of HFSE, REE and transition elements into the Fe-rich melt. Water alone, or combined with P or S, produces nearly parallel partitioning trends for HFSE and REE. Absolute partitioning values of transition elements are strongly dependent on the network-modifier composition of the melt. 18O in experimental immiscible melts with H2O or H2O and P or S partitions preferentially into the felsic conjugate melt (δ18O felsic melt- δ18O mafic melt values range from 0.4 to 0.8 permil) consistent with observations in anhydrous immiscible silicate melts. The expansion of the P-T-X-fO2 stability ranges of two- or three-liquid fields observed in the experimental melts demonstrates that liquid-immiscibility may be an important process in the evolution of some volatile-rich natural magmas. The results support an immiscible petrogenetic origin for some iron-oxide dominated, Kiruna-type, ore-deposits. / Thesis (Ph.D, Geological Sciences & Geological Engineering) -- Queen's University, 2012-04-10 15:06:35.797

This work presents a novel method to model immiscible incompressible fluids in a stable manner. Here, the immiscible behavior of the flow is described by the incompressible Navier-Stokes-Cahn-Hilliard model, which is based on a diffuse interface method. We introduce buoyancy effects in the model through the Boussinesq approximation in a consistent manner. A structure-preserving discretization is used to guarantee the linear stability of the discrete problem and to satisfy the incompressibility of the discrete solution at every point in space by construction. For the solution of the model, we developed the Portable Extensible Toolkit for Isogeometric Analysis with Multi-Field discretizations (PetIGA-MF), a high-performance framework that supports structure-preserving spaces. PetIGA-MF is built on top of PetIGA and the Portable Extensible Toolkit for Scientific Computation (PETSc), sharing all their user-friendly, performance, and flexibility features. Herein, we describe the implementation of our model in PetIGA-MF and the details of the numerical solution. With several numerical tests, we verify the convergence, scalability, and validity of our approach. We use highly-resolved numerical simulations to analyze the merging and rising of droplets. From these simulations, we detailed the energy exchanges in the system to evaluate quantitatively the quality of our simulations. The good agreement of our results when compared against theoretical descriptions of the merging, and the small errors found in the energy analysis, allow us to validate our approach. Additionally, we present the development of an unconditionally energy-stable generalized-alpha method for the Swift-Hohenberg model that offers control over the numerical dissipation. A pattern formation example demonstrates the energy-stability and convergence of our method.

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第20603号 / 理博第4318号 / 新制||理||1620(附属図書館) / 京都大学大学院理学研究科化学専攻 / (主査)教授 北川 宏, 教授 竹腰 清乃理, 教授 吉村 一良 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

<p> The separation of distilled water and coconut fatty acid (CNFA) was investigated in a 4 in. x 16 in. vertical gravity decanter to determine the most significant design variables. The design variables studied were tangential versus perpendicular feed flow, height/diameter ratio, the total feed flow rate, the temperature and the intertace position with respect to feed inlet. The criteria used were the calculated immiscible concentration of water in CNFA overflow (Cw) and that of CNFA in water underflow (Co), The test conditions were arranged according to a Central Composite Design based on Box Method of Experimentation. Two levels of inlet geometry and five levels of each of the other four variables were studied. The range of variables were 1. Inlet geometry Tangential and Perpendicular Feed Flow 2. Height/Diameter Ratio 3/1 to 4/1 3· Total Feed Flow rate 160 cc/min. to 320 cc/min. 4. Temperature 40° to 80°c. 5· Interrace Position 2" below feed inlet to 2" above feed inlet The Overall residence time in the decanter ranged from 7.5 to 12.5 minutes. The drop size distribution of the incoming dispersion was measured by taking photomicrographs for all the runs. </p> <p> It was found that the tangential feed flow was slightly better but not significantly better for the separation of two immiscible liquids. Statistical analysis revealed that 95% confidence level height/diameter ratio, flow rate and temperature, respectively, are the most important design variables for the separation of CNFA from water underflow. The dependence of Cw on height/diameter ratio of Co on the interface position was interpreted to mean that the theoretical, plug flow residence time within each phase is the most important design variable. Interaction between variables and second order constants were not found significant at 95% confidence level. Sedimentation rather than coalescence appeared to be the controlling factor in the present study. </p> / Thesis / Master of Engineering (MEngr)

No description available.

Cette thèse est centrée autour du développement et de l'analyse des schémas volumes finis robustes afin d'approcher les solutions du modèle diphasique compressible en milieux poreux hétérogènes et anisotropes. Le modèle à deux phases compressibles comprend deux équations paraboliques dégénérées et couplées dont les variables principales sont la saturation du gaz et la pression globale. Ce système est discrétisé à l'aide de deux méthodes différentes (CVFE et DDFV) qui font partie de la famille des volumes finis. La première classe à laquelle on s'intéresse consiste à combiner la méthode des volumes finis et celle des éléments finis. Dans un premier temps, on considère un schéma volume finis upwind pour la partie convective et un schéma de type éléments finis conformes pour la diffusion capillaire. Sous l'hypothèse que les coefficients de transmissibilités sont positifs, on montre que la saturation vérifie le principe du maximum et on établit des estimations d'énergies permettant de démontrer la convergence du schéma. Dans un second temps, on a mis en place un schéma positif qui corrige le précédent. Ce schéma est basé sur une approximation des flux diffusifs par le schéma de Godunov. L'avantage est d'établir la bornitude des solutions approchées ainsi que les estimations uniformes sur les gradients discrets sans aucune contrainte ni sur le maillage ni sur la perméabilité. En utilisant des arguments classiques de compacité, on prouve rigoureusement la converge du schéma. Chaque schéma est validé par des simulations numériques qui montrent bien le comportement attendu d'une telle solution. Concernant la deuxième classe, on s'intéressera tout d'abord à la construction et à l'étude d'un nouveau schéma de type DDFV (Discrete Duality Finite Volume) pour une équation de diffusion non linéaire dégénérée. Cette méthode permet d' avantage de prendre en compte des maillages très généraux et des perméabilités quelconques. L'idée clé de cette discrétisation est d'approcher les flux dans la direction normale par un schéma centré et d'utiliser un schéma décentré dans la direction tangentielle. Par conséquent, on démontre que la solution approchée respecte les bornes physiques et on établit aussi des estimations d'énergie. La convergence du schéma est également établie. Des résultats numériques confirment bien ceux de la théorie. Ils exhibent en outre que la méthode est presque d'ordre deux. / The objective of this thesis is the development and the analysis of robust and consistent numerical schemes for the approximation of compressible two-phase flow models in anisotropic and heterogeneous porous media. A particular emphasis is set on the anisotropy together with the geometric complexity of the medium. The mathematical problem is given in a system of two degenerate and coupled parabolic equations whose main variables are the nonwetting saturation and the global pressure. In view of the difficulties manifested in the considered system, its cornerstone equations are approximated with two different classes of the finite volume family. The first class consists of combining finite elements and finite volumes. Based on standard assumptions on the space discretization and on the permeability tensor, a rigorous convergence analysis of the scheme is carried out thanks to classical arguments. To dispense with the underlined assumptions on the anisotropy ratio and on the mesh, the model has to be first formulated in the factional flux formulation. Moreover, the diffusive term is discretized by a Godunov-like scheme while the convective fluxes are approximated using an upwind technique. The resulting scheme preserves the physical ranges of the computed solution and satisfies the coercivity property. Hence, the convergence investigation holds. Numerical results show a satisfactory qualitative behavior of the scheme even if the medium of interest is anisotropic. The second class allows to consider more general meshes and tensors. It is about a new positive nonlinear discrete duality finite volume method. The main point is to approximate a part of the fluxes using a non standard technique. The application of this ideato a nonlinear diffusion equation yields surprising results. Indeed,not only is the discrete maximum property fulfilled but also the convergence of the scheme is established. Practically, the proposed method shows great promises since it provides a positivity-preserving and convergent scheme with optimal convergence rates.

This thesis presents results of a successful simulation study using CO2-EOR technique to enable production from an offshore heavy oil field, named here as Omega, which is located offshore West Africa at a water depth around 2000 m. The findings and contributions to knowledge are outlined below: 1. Long distance CO2 transportation offshore – The solution to the space and weight constraints offshore with respect to CO2-EOR, is a tie-back via long distance CO2 dense phase transportation from onshore to offshore. 2. Cold heavy oil production (CHOP) using CO2-EOR technique - Based on conditions investigated, Miscible Displacement was found to be more efficient for deepwater production. However, Immiscible Displacement can offer greater reliability with regards to CO2 sequestration. 3. CO2 sequestration during CHOP using CO2-EOR technique – Lower CO2 may be released post start-up operation, followed by gradual decline of CO2 retention after the production peak. CO2 retention increases with increasing reservoir pressure, starting with 17.7 % retention at 800 psig to 32.8 % at 5000 psig, based on peak production analysis. 4. Techno-economic Evaluation – Miscible displacement is asssociated with higher cash flow stream that extend throughout the lifetime of the asset due to continuous production while Immiscible Displacement has a longer payback period (in order of 22 years) due to the time lag between the CO2 injection and the incremental heavy oil production. 5. Mathematical Modelling – Improved mathematical models based on existing theories are proposed, to estimate the CO2 requirement and heavy oil production during CHOP using CO2-EOR technique, and to provide an operating envelope for a wide range of operating conditions. As part of further work, the proposed models will require more refinement and validation across a broad range of operating conditions, could be adapted and modified to increase its predictive capability over time.

No description available.

<p><bold>Background</bold> The diagnosis of sepsis is challenging because the infection can be caused by more than 50 species of pathogens that might exist in the bloodstream in very low concentrations, e.g., less than 1 colony-forming unit/ml. As a result, among the current sepsis diagnostic methods there is an unsatisfactory trade-off between the assay time and the specificity of the derived diagnostic information. Although the present qPCR-based test is more specific than biomarker detection and faster than culturing, its 6 ~ 10 hr turnaround remains suboptimal relative to the 7.6%/hr rapid deterioration of the survival rate, and the 3 hr hands-on time is labor-intensive. To address these issues, this work aims to utilize the advances in microfluidic technologies to expedite and automate the ``nucleic acid purification - qPCR sequence detection'' workflow.</p><p><bold>Methods and Results</bold> This task is evaluated to be best approached by combining immiscible phase filtration (IPF) and digital microfluidic droplet actuation (DM) on a fluidic device. In IPF, as nucleic acid-bound magnetic beads are transported from an aqueous phase to an immiscible phase, the carryover of aqueous contaminants is minimized by the high interfacial tension. Thus, unlike a conventional bead-based assay, the necessary degree of purification can be attained in a few wash steps. After IPF reduces the sample volume from a milliliter-sized lysate to a microliter-sized eluent, DM can be used to automatically prepare the PCR mixture. This begins with compartmenting the eluent in accordance with the desired number of multiplex qPCR reactions, and then transporting droplets of the PCR reagents to mix with the eluent droplets. Under the outlined approach, the IPF - DM integration should lead to a notably reduced turnaround and a hands-free ``lysate-to-answer'' operation.</p><p>As the first step towards such a diagnostic device, the primary objective of this thesis is to verify the feasibility of the IPF - DM integration. This is achieved in four phases. First, the suitable assays, fluidic device, and auxiliary systems are developed. Second, the extent of purification obtained per IPF wash, and hence the number of washes needed for uninhibited qPCR, are estimated via off-chip UV absorbance measurement and on-chip qPCR. Third, the performance of on-chip qPCR, particularly the copy number - threshold cycle correlation, is characterized. Lastly, the above developments accumulate to an experiment that includes the following on-chip steps: DNA purification by IPF, PCR mixture preparation via DM, and target quantification using qPCR - thereby demonstrating the core procedures in the proposed approach.</p><p><bold>Conclusions</bold> It is proposed to expedite and automate qPCR-based multiplex sparse pathogen detection by combining IPF and DM on a fluidic device. As a start, this work demonstrated the feasibility of the IPF - DM integration. However, a more thermally robust device structure will be needed for later quantitative investigations, e.g., improving the bead - buffer mixing. Importantly, evidences indicate that future iterations of the IPF - DM fluidic device could reduce the sample-to-answer time by 75% to 1.5 hr and decrease the hands-on time by 90% to approximately 20 min.</p> / Dissertation

Pore scale interaction between matrix and fracture during miscible and immiscible CO2 injection was studied experimentally using visual models. Initially, visualization experiments were conducted on 2-D glass bead packed models by injecting n-heptane (solvent) displacing different kinds of processed oil. The focus was on the displacement patterns and solvent breakthrough controlled by matrix-fracture interaction and the pore scale behaviour of solvent-oil interaction for different fracture and injection conditions (rate, vertical vs. horizontal injection) as well as oil viscosity. Besides the visual investigation, effluent was also analyzed to calculate the solvent cut and oil recovery. Next, the process was modeled numerically using a commercial compositional simulator and the saturation distribution in the matrix was matched to the experimental data. The key parameters in the matching process were the effective diffusion coefficients and the longitudinal and transverse dispersivities. The diffusion coefficients were specified for each fluid and dispersivities were assigned into grid blocks separately for the fracture and the matrix. Finally, glass etched microfluidic models were used to investigate pore scale interaction between the matrix and the fracture. The models were prepared by etching homogeneous and heterogeneous micro scale pore patterns on glass sheets bonded together and then saturated with colored n-decane as the oleic phase. CO2 was injected at miscible and immiscible conditions. The focus was on visual pore scale analysis of miscibility, breakthrough of CO2 and oil/CO2 transfer between the matrix and the fracture under different miscibility, injection rate and wettability conditions. / Petroleum Engineering