The adsorption of polar organic molecules
on the surface of brine-saturated
carbonate rocks alters the relative mobility of oil and water with
important implications for oil production and groundwater remediation.
We propose a mathematical model for the adsorption of polar organic
acid groups (initially contained in an oil phase) on calcite in the
presence of brine. We reduce the problem into smaller subsystems and
characterize them by identifying the key interactions. Oil–brine
equilibrium is dictated by the partitioning of acidic components between
the two phases. The dissolved acids ionize to carboxylate species
in the water phase, which may either form complexes with the calcite
surface or precipitate as calcium carboxylate salts by binding calcium
ions from the solution. All these interactions are implemented into
a Phreeqc model as equilibrium and kinetic processes. To obtain the
main parameters (e.g., partition, ionization, or adsorption constants)
governing the behavior of the different subsystems at different chemical
conditions, we tune the sub-models to relevant experimental data (e.g.,
partitioning, precipitation, adsorption, and electrokinetic measurements).
We then assess the performance of the model by coupling the reaction
network to the transport equations and simulating the crude oil injection
within a chalk core to predict effluent acid concentration history.
By defining the total acidity of crude oil as a mixture of several
carboxylic acids, our model satisfactorily fits the experimental data.
The total acid number that is commonly reported as the sole indicator
for the concentration of organic acids in oil does not allow distinguishing
between different types of organic acids nor their affinity toward
the calcite surface. More sophisticated analytical methods for quantifying
the acid species in the crude oil are required for a more accurate
description of the adsorption process using our model.