Frequency-Dependent Streaming Potentials: A Review

Table 1

Measured or predicted transition frequency for dynamic streaming potential and permeability, for samples of porosity 𝜙, formation factor 𝐹, permeability 𝑘₀, and half of the mean particle size 𝑟, from (SED) Smeulders et al. [61], (CKS) Charlaix et al. [62], (SG) Sears and Groves [63], (P) Packard [59], (TGR) Tardif et al. [64], and (RMLJ) Reppert et al. [60]. *indicates predicted transition frequency from (3) and **Indicates the transition frequency computed by the authors.

Sample	Particle size 𝜇𝑚	𝜙 [%]	𝐹	𝑘0 [m^2]	𝑓𝑐 [Hz]	Source
Capillary	254 (radius)			10^−8	10–2.5* Hz	CKS
Capillary	508 (radius)				1.3–0.62* Hz	SG
Capillary G4	720 (radius)				0.31*–0.28** Hz	P
Capillary G2	826 (radius)				0.23*–0.21** Hz	P
Capillary 1	800–1100 (radius)				7.1 Hz	RMLJ
Glass beads	1.25–1.75	32	7.8	4.2×10^−9	4.8 Hz	SED
Glass beads	850 (r)	50	2.8	10^−8	6.2 Hz	CKS
Glass beads	580–700	31	8.7	9×10^−10	20 Hz	SED
Glass beads	450 (r)	50	3.2	2×10^−9	25 Hz	CKS
Glass beads	250 (r)	50	3	5×10^−10	108 Hz	CKS
Glass beads	200–270	31	9	1.4×10^−10	126 Hz	SED
Crushed glass	440 (r)	50	3	10^−9	44 Hz	CKS
Crushed glass	265 (r)	50	3.2	2×10^−10	45–103 Hz	CKS
Porous filter A	72.5–87				269 Hz	RMLJ
Porous filter B	35–50				710 Hz	RMLJ
Sand grains	1000–2000	31	9	26×10^−10	6.7 Hz	SED
Sand grains	150–300	29	10.7	10^−10	149 Hz	SED
Ottawa sand	200–250 (r)	31	4.7	1.2×10^−10	230–273 Hz	TGR