During the accident in April 1986, Cooling Pond (CP) of Chornobyl Nuclear Power Plant (ChNPP) was heavily contaminated by fuel particles and radionuclides cesium-137 (137Cs) strontium-90 (90Sr). Starting from end 2014, a gradual decrease CP water level began leading to transformation whole reservoir into eight separate sectors raising concern fate 137Cs 90Sr future. In this study, two mathemati...

CO2-Plume Geothermal (CPG) power plants can produce heat and/or electric power. One of the most important parameters for design a CPG system is CO2 mass flowrate. Firstly, flowrate determines generated. Secondly, has significant effect on fluid pressure drawdown in geologic reservoir at production well inlet. This because it lead to water flow towards and into borehole. Thirdly, directly affect...

A new analytical solution for residual drawdown during the recovery period after a constant rate pumping test is described. A comparison between the proposed solution, existing solutions and experimental data from field observation are presented. The proposed analytical solution is in perfect agreement with the experimental data for α = 0.01, in contrast to the CooperJacob solution. A new analy...

A new semi-analytic solution to the mixed-type boundary value problem for a ̄owing partially penetrating well with in®nitesimal skin situated in an anisotropic aquifer is developed. The solution is suited to aquifers having a semi-in®nite vertical extent or to packer tests with aquifer horizontal boundaries far enough from the tested area. The problem reduces to a system of dual integral equati...

A long-duration pumping test performed in the conduit of a mixed flow karst system (MFKS) is analyzed and interpreted. It constitutes a unique experiment of catchment wide response of a karst system, with drawdowns measured both in the pumped conduit and in the matrix. A modeling approach is proposed for this interpretation. The developed double continuum model consists of two reservoirs karst ...

A detailed record of benthic foraminifera carbon isotopes from the intermediate-depth South East Atlantic margin shows little glacial-interglacial variability between MIS-12 to MIS-10, suggesting that Northern Atlantic deepwaters consistently penetrated to at least 30 S. Millennialscale increases in either the mass or flux of northern-sourced deepwaters over the core site occurred alongside red...

We study drawdowns and rallies of Brownian motion. A rally is defined as the difference of the present value of the Brownian motion and its historical minimum, while the drawdown is defined as the difference of the historical maximum and its present value. This paper determines the probability that a drawdown of a units precedes a rally of b units. We apply this result to examine stock market c...

Leaky faults provide important flow paths for fluids to move underground. It is often necessary to characterize such faults in engineering projects such as deep well injection of waste liquids, underground natural gas storage, and radioactive waste isolation. To provide this characterization, analytical solutions are presented for groundwater flow through saturated aquifer-fault-aquifer systems...

We consider the portfolio choice problem for an investor interested in long-run growth optimality while facing drawdown constraints in a general continuous semimartingale model. The paper introduces the numéraire property through the notion of expected relative return and shows that drawdown-constrained strategies with the numéraire property exist and are unique, but may depend on the financial...