Determining a cation exchange capacity of a rock sample
Provided herein are various embodiments of determining a cation exchange capacity of a rock sample. One embodiment of a method of determining a cation exchange capacity of a rock sample comprises equilibrating the rock sample to a relative humidity, performing a dielectric permittivity measurement on the rock sample at the relative humidity, and determining a cation exchange capacity of the rock sample based on the dielectric permittivity measurement. One embodiment of a method of determining a cation exchange capacity of a rock sample comprises receiving a dielectric permittivity measurement on the rock sample, and determining a cation exchange capacity for the rock sample based on the dielectric permittivity measurement of the rock sample and a relationship between cation exchange capacity and dielectric permittivity measurements for mineral mixtures corresponding to a range of cation exchange capacity values.
1. A method of determining a cation exchange capacity of a rock sample, the method comprising:
preparing a rock sample to equilibrate to a relative humidity, wherein preparing the rock sample comprises crushing the rock sample into rock particles, passing the rock particles through a mesh sieve, and dehydrating the rock particles;
equilibrating the rock sample to the relative humidity;
performing a dielectric permittivity measurement on the rock sample at the relative humidity; and
determining a cation exchange capacity of the rock sample based on the dielectric permittivity measurement.
2. The method of claim 1 , wherein the rock sample is equilibrated to the relative humidity of between about 8% and about 75%.
3. The method of claim 1 , wherein the dielectric permittivity measurement on the rock sample is performed at a frequency between about 80 megahertz and about 600 megahertz.
4. The method of claim 1 , wherein the rock sample comprises a drill cutting, a core sample, a soil sample, an outcrop sample, a mudcake sample, or any combination thereof.
5. The method of claim 1 , further comprising determining a smectite content of a dioctahedral clay group in the rock sample based on the determined cation exchange capacity.
6. The method of claim 1 , further comprising maintaining the rock sample at a constant temperature while performing the dielectric permittivity measurement.
7. The method of claim 1 , wherein the cation exchange capacity for the rock sample is determined using the following equation:
CEC= S RH ε′ r +c RH
where ε′ r represents the dielectric permittivity measurement on the rock sample, S RH represents a slope for a linear relationship between the cation exchange capacity and the dielectric permittivity measurement as a function of relative humidity, and c RH represents a y-intercept constant for the linear relationship between the cation exchange capacity and the dielectric permittivity measurement as the function of relative humidity.
8. The method of claim 7 , wherein S RH is segmented into a plurality of regions that each span a range of relative humidities, the regions being segmented by changes in a slope of a linear relationship between S RH and relative humidity.
9. The method of claim 7 , wherein S RH and c RH are determined based on a plot of cation exchange capacities and dielectric permittivity measurements as a function of relative humidity for mineral mixtures corresponding to a range of cation exchange capacity values.
10. The method of claim 7 , wherein S RH and c RH are determined based on a plot of cation exchange capacities and dielectric permittivity measurements as a function of relative humidity for known quartz-smectite ratios.
11. The method of claim 10 , wherein a desiccant is used to obtain a plurality of relative humidities for the known quartz-smectite ratios.
12. The method of claim 1 , wherein a correction factor is applied to the cation exchange capacity calculated for the rock sample.
13. The method of claim 1 , wherein the cation exchange capacity for the rock sample is determined using the following equation:
CEC= S RH ε′ r +c RH +C
where ε′ r represents the dielectric permittivity measurement on the rock sample, S RH represents a slope for a linear relationship between the cation exchange capacity and the dielectric permittivity measurement as a function of relative humidity, c RH represents a y-intercept constant for the linear relationship between the cation exchange capacity and the dielectric permittivity measurement as the function of relative humidity, and C represents a correction factor applied to the cation exchange capacity.
14. The method of claim 1 , further comprising determining a value associated with water saturation for the rock sample.
15. The method of claim 14 , wherein the value associated with water saturation for the rock sample comprises an irreducible water saturation value.
16. The method of claim 1 , further comprising determining a second cation exchange capacity for a second rock sample, wherein the second rock sample is from a same reservoir as the rock sample.
17. The method of claim 1 , further comprising determining a second cation exchange capacity for a second rock sample at a point in time later than when the cation exchange capacity for the rock sample was determined.
18. A method of determining a cation exchange capacity of a rock sample, the method comprising:
receiving a dielectric permittivity measurement for a rock sample, wherein the rock sample was prepared to equilibrate to a relative humidity by crushing the rock sample into rock particles, passing the rock particles through a mesh sieve, and dehydrating the rock particles, and wherein the rock sample was equilibrated to the relative humidity, and wherein the dielectric permittivity measurement was performed on the rock sample at the relative humidity; and
determining a cation exchange capacity for the rock sample based on the dielectric permittivity measurement of the rock sample and a relationship between cation exchange capacity and dielectric permittivity measurements for mineral mixtures corresponding to a range of cation exchange capacity values.