Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants

We present two new adaptive quadrature routines. Both routines differ from previously published algorithms in many aspects, most significantly in how they represent the integrand, how they treat non-numerical values of the integrand, how they deal with improper divergent integrals and how they estimate the integration error. The main focus of these improvements is to increase the reliability of the algorithms without significantly impacting their efficiency. Both algorithms are implemented in Matlab and tested using both the "families" suggested by Lyness and Kaganove and the battery test used by Gander and Gautschi and Kahaner. They are shown to be more reliable, albeit in some cases less efficient, than other commonly-used adaptive integrators.Comment: 32 pages, submitted to ACM Transactions on Mathematical Softwar

A profitability study of CO₂-EOR and subsequent CO₂ storage in the North Sea under low oil market prices

A wide-scale application of CO2-enhanced oil recovery (CO2-EOR) in North Sea oil fields can have many advantages, especially when followed by CO2 geological storage. Under the current low oil prices though, even maintaining basic oil production is challenging. A techno-economic assessment is made of the Claymore oil field with the PSS IV simulator, focusing on uncertainty and investment risk. For a stochastic oil price ranging between 10 and 70 €/bbl, a stochastic CO2 revenue of -10 to 70 €/t and stochastic reservoir parameters, an average NPV of almost 500 M€ is obtained with a 73% chance on a positive NPV if the investment is made. Disregarding uncertainty relating to the underground by fixing the stochastic reservoir parameters, leads remarkably, but also erroneously, to a lower average NPV. Results also show that geological uncertainty is an important factor for determining the economic threshold level of an EOR project, and a proper assessment of the real uncertainties can make the difference between profit and loss. In case of assuming a fixed CO2 revenue at 30 €/t, the probability of implementing EOR becomes higher, but the average NPV and project success rate are significantly lower, at 300 M€ and 63% respectively. This demonstrates that a fixed CO2 tax is not a generic CGS enabling solution. It not well-weighted, it can hamper the deployment of certain technologies. A phase of CO2 geological storage (CGS) after oil production becomes economically interesting from a CO2 revenue of 17€/t. If such a price level can be guaranteed, then continuation of CO2 injection can reduce investment risk for both the EOR and CGS investment, reduces the investment hurdle, and can be a catalyzer for large-scale and widespread CO2 storage in Europe

Loop integration results using numerical extrapolation for a non-scalar integral

Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand which tends to zero. Results are given for a non-scalar four-point diagram. Extensions to accommodate loop integration by existing integration packages are also discussed. These include: using previously generated partitions of the domain and roundoff error guards.Comment: 4 pages, 3 figures, revised, contribution to ACAT03 (Dec. 2003

Mixing of magmatic-hydrothermal and metamorphic fluids and the origin of peribatholitic Sn vein-type deposits in Rwanda

The fluid sources of granite-related Sn-quartz vein deposits are commonly obscured by fluid mixing or fluid-rock interactions. As a result, fluid inclusions, minerals and isotopes in these veins indicate an intermediate composition between magmatic and metamorphic, but the degree of mixing between these endmembers is currently unquantified. This study presents a novel quantitative approach to assess the degree of mixing between magmatic-hydrothermal and external metamorphic fluids in the formation of peribatholitic Sn-quartz veins. In particular, fluid mixing in the Sn-mineralized Rwamagana-Musha-Ntunga pegmatite-quartz vein field in East Rwanda has been evaluated by the following four methods: quartz stable isotopes, muscovite geochemistry, fluid inclusion microthermometry and LA-ICP-MS, and geochemical modelling. The quartz stable isotope data (δ18O: +13.1 to +15.8 ‰ V-SMOW; δD: −27.6 to –59.7 ‰ V-SMOW) cannot uniquely differentiate between a metamorphic fluid origin or an initial magmatic hydrothermal fluid origin with subsequent metamorphic fluid mixing or host-rock interaction. However, granitophile element concentrations in magmatic muscovite from pegmatites and hydrothermal muscovite from associated Sn-quartz veins are equally high, indicating a close genetic link (Rb: 530 – 8740 ppm, Li: 110 – 1990 ppm, Sn: 87 – 810 ppm, Cs: 62 – 420 ppm). Primary H2O-CO2-N2-NaCl medium saline magmatic fluid inclusions in quartz of pegmatites (∼12.7 wt% NaCleq) and H2O-CO2-(N2)-NaCl low saline fluid inclusions in barren metamorphic quartz veins (∼4.9 wt% NaCleq) were analyzed by LA-ICP-MS. These results show an enrichment in Li, Rb, Sn and Cs for the magmatic fluid, while the metamorphic fluid is characterized by low granitophile element concentrations and high Sr and Ba contents. The expected Rb-Cs and Rb-Sn signature of the Sn-quartz vein muscovite was modelled using the measured fluid endmember compositions, confirming mixing between magmatic and metamorphic fluids in the formation of the veins. The quantification suggests that the hydrothermal Sn-quartz vein fluid contains 5 – 80 % of an external metamorphic fluid component

Geological uncertainty and investment risk in CO₂-enhanced oil recovery

CO2-enhanced oil recovery (CO2-EOR) has the potential to combine the environmental benefits of greenhouse gas emission reduction and the optimal use of natural resources. In economic simulations, CO2-EOR is generally approached in a classical way, with fixed parameters and limited flexibility. We propose a more realistic approach that combines realistic investment decision making with geological and techno-economic uncertainties. A cluster of seven active oil fields in the North Sea is simulated using a newly developed software tool, allowing to assess when EOR technology replaces primary production. CO2 can be delivered from different onshore locations via ship or pipeline. The introduction of near-realistic investment geological and economic risks in CO2-EOR projections will allow for in-depth assessment of CO2-EOR at the level of the North-Sea Basis, as well as of individual potential projects

Local host response following an intramammary challenge with Staphylococcus fleurettii and different strains of Staphylococcus chromogenes in dairy heifers

Coagulase-negative staphylococci (CNS) are a common cause of subclinical mastitis in dairy cattle. The CNS inhabit various ecological habitats, ranging between the environment and the host. In order to obtain a better insight into the host response, an experimental infection was carried out in eight healthy heifers in mid-lactation with three different CNS strains: a Staphylococcus fleurettii strain originating from sawdust bedding, an intramammary Staphylococcus chromogenes strain originating from a persistent intramammary infection (S. chromogenes IM) and a S. chromogenes strain isolated from a heifer's teat apex (S. chromogenes TA). Each heifer was inoculated in the mammary gland with 1.0 x 10(6) colony forming units of each bacterial strain (one strain per udder quarter), whereas the remaining quarter was infused with phosphate-buffered saline. Overall, the CNS evoked a mild local host response. The somatic cell count increased in all S. fleurettii-inoculated quarters, although the strain was eliminated within 12 h. The two S. chromogenes strains were shed in larger numbers for a longer period. Bacterial and somatic cell counts, as well as neutrophil responses, were higher after inoculation with S. chromogenes IM than with S. chromogenes TA. In conclusion, these results suggest that S. chromogenes might be better adapted to the mammary gland than S. fleurettii. Furthermore, not all S. chromogenes strains induce the same local host response