徑向雙區受壓含水層污染物傳輸全新精確解析模式發展與應用(II)

Analytical solutions for solute transport in a radial flow field has a variety of practical applications, for example, for the study of transport in pushpull/divergent/convergent flow tracer tests, aquifer remediation by pumping and aquifer storage and recovery. Several semi-analytical solutions related to transport in a radial flow field have been developed in the literature. It is known that there is a small area around the well screen showing anomalous hydrogeological properties. This small area is called the skin zone. The transport behavior is susceptible to change as the contaminant migrates through a skin zone where the physical and chemical properties are different from those in the original aquifer formation. Clearly, analytical solutions for solute transport in a radial two-zone system are effective tools providing a better understanding of these complex solute transport processes as the contaminant moves through the skin zone-aquifer formation system. Recently, although a few semi-analytical solutions for transport in a radial two-zone aquifer have been derived, exact analytical solutions for reactive transport in a radial two-zone confined aquifer have not yet been developed. Moreover, for mathematical simplicity, the current semi-analytical solutions are derived under the assumption of equilibrium-controlled sorption. However experimental and theoretical research results indicate that rate-limited sorption could have a profound effect upon solute transport in the subsurface environment. The assumption of equilibrium-controlled sorption precludes consideration or examination of the potentially significant impact of the rate-limited sorption process. In this two-year project we aim to develop novel analytical solutions for reactive transport in a two-zone confined aquifer subject to both the equilibrium-controlled and rate-limited sorption processes. In the first year, novel analytical solutions will be developed for two practical applications including divergent and convergent flow tracer tests subject to an equilibrium-controlled sorption process. In the second year, novel analytical solutions will be developed for divergent and convergent flow tracer tests subject to a rate-limited sorption process. A solution toolkit will be systematically constructed integrating the achievements of these two years.