Enhanced delivery of amendments in fractured clay sites based on multi-point injection: An analytical study

Fracturing technology that can enhance the delivery of amendments has attracted attention in the remediation of low-permeability contaminated sites. However, there are few works on the enhanced delivery of amendments based on multi-point injection in a fracture-matrix system. This study develops a two-dimensional analytical model for enhanced delivery of amendments in a finite-domain low-permeability matrix through multi-point injection in a natural, hydraulic or pneumatic fracture. The mechanisms of advection, diffusion, dispersion, sorption and degradation are considered in the model and any injection form (e.g., pulse injection, periodic injection or slow-release injection) can be embedded to obtain a specified solution. Then, a new linear factor R*, which is the ratio of the peak concentration to the trough concentration on the same plane, is introduced to evaluate the concentration fluctuation in the fracture and matrix. Results show that with a stronger line source formed in the fracture right after injection (corresponding to a small R*), the concentration distribution of amendments in the matrix is more uniform at each depth resulting in a smaller residual rate, i.e., (R*-1) × 100%. If the injection wells have been installed unreasonably (e.g., a too large spacing), the continuous injection time is an effective controllable parameter to compensate for this defect. Moreover, a controlled slow-release system can maintain a more stable concentration distribution in the fracture than continuous injection and periodic injection systems, giving a longer residence time. Overall, this work is expected to provide some interesting guidelines for the design of multi-point injection in the fracturing low-permeability sites to enhance the remediation of contaminated soil.