Method for determining pore size and pore size distribution of porous material using phase of electro-acoustic signal
A method of determining pore size of a porous material. The method includes saturating the porous material with a conducting liquid. Measuring, with an electro-acoustic device, a phase of the seismo-electric or electro-seismic signal at a single frequency or multiple frequencies. Calculating an average pore size from the measured phase of the seismo-electric or electro-seismic signal at single frequency using a theory that takes into account the hydrodynamic relaxation of the conducting liquid inside of the pores of the porous material. Calculating pore size distribution from the similar measurement conducted at multiple frequencies using the same theory.
1. A method of determining pore size of a porous material comprising:
saturating the porous material with a conducting liquid;
measuring, with an electro-acoustic device, a phase of a seismo-electric or electro-seismic signal within the porous material at a single frequency;
calculating an average pore size from the phase of the seismo-electric or electro-seismic signal using a theory that takes into account a hydrodynamic relaxation of the conducting liquid inside of pores of the porous material, which occurs when d>d cr =√{square root over (πν/4f)}, where d is an average pore diameter of the porous material, ν is a kinematic viscosity of the conducting liquid within the porous material, and f is the frequency of the seismo-electric or electro-seismic signal; and the conducting liquid having an ionic strength sufficient to distinguish the hydrodynamic relaxation from an effect of overlapping double layers.
2. The method according to claim 1 , wherein the frequency equals kinematic viscosity of the conducting liquid divided by a square of an expected pore radius of the porous material.
3. A method of determining pore size distribution of a porous material comprising:
saturating the porous material with a conducting liquid;
measuring, with an electro-acoustic device, a phase of a seismo-electric or electro-seismic signal within the porous material at multiple frequencies;
calculating a pore size distribution from the phase of the seismo-electric or electro-seismic signal using a theory that takes into account a hydrodynamic relaxation of the conducting liquid inside of pores of the porous material, which occurs when d>d cr =√{square root over (πν/4f)}, where d is an average pore diameter of the porous material, ν is a kinematic viscosity of the conducting liquid within the porous material, and f is the frequency of the seismo-electric or electro-seismic signal; and the conducting liquid having an ionic strength sufficient to distinguish the hydrodynamic relaxation from an effect of overlapping double layers.
4. The method according to claim 3 , wherein a frequency range is selected based on the condition that a middle angular frequency of the frequency range equals kinematic viscosity of the conducting liquid divided by a square of an expected pore radius of the porous material.