Abstract
An electrostatic model is developed to model the pH, temperature, and ionic strength dependence of phosphonate ionization and complex formation. Using the approach, two calcium phosphonate precipitates have been studied. The initial calcium phosphonate phase formed is an amorphous material. Using a dialysis process, the amorphous solid gradually transforms into a crystalline solid via removal of phosphonate. The solubility product of the amorphous phase is 10−49.4. The crystalline material is three orders' magnitudes less soluble than the amorphous phase. The pH, temperature, and ionic strength dependence of the precipitation is discussed. The transformation between the two solids is a function of both temperature and solution to solid ratio. The precipitation--solid transformation--dissolution process can be used to model the retention and release of phosphonate following an inhibitor squeeze in oil and gas fields. Inhibitor squeezes and returns of five different oil and gas wells of widely different geological, physical, and chemical conditions are compared using this mechanistic interpretation.