A Nonlinear Statistical Damage Constitutive Model for Porous Rocks

Table 1

Test data of sandstone samples.

Group	Porosity (%)	Density (kg/m^3)		Compressive strength (MPa)		Young’s modulus (GPa)		Poisson’s ratio
		Dry	Saturated	Dry	Saturated	Dry	Saturated	Dry	Saturated
1	12.39–12.96	2174–2283	2312–2410	21.3–28.1	5.4–9.9	3.45–4.00	0.86–2.22	0.19–0.23	0.26–0.29
2	13.23–13.98	2146–2285	2287–2418	18.9–29.7	7.1–11.4	2.95–3.82	1.32–2.53	0.18–0.23	0.25–0.28
3	14.01–14.98	2128–2314	2251–2457	15.2–28.0	5.2–14.8	2.59–3.73	0.92–2.37	0.19–0.24	0.25–0.29
4	15.01–15.99	2140–2288	2311–2454	15.4–27.2	4.8–12.8	2.03–3.58	0.71–2.94	0.18–0.24	0.26–0.30
5	16.00–16.90	2134–2340	2291–2516	13.0–26.7	4.7–10.0	1.63–2.94	0.49–1.61	0.19–0.24	0.27–0.31
6	17.37–17.78	2155–2341	2358–2479	17.4–21.5	4.4–5.1	1.45–2.37	0.03–0.49	0.19–0.22	0.30–0.31
7	18.11–18.98	2173–2235	2365–2447	13.3–21.3	2.5–4.6	1.07–2.09	0.20–0.43	0.22–0.27	0.30–0.31
8	19.08–19.96	2129–2265	2326–2475	11.6–19.7	2.1–2.3	0.98–0.14	0.16–0.18	0.20–0.28	0.30–0.31
9	20.02–23.28	2173–2281	2372–2482	11.5–14.1	0.8–2.2	0.67–0.91	0.06–0.13	0.23–0.28	0.30–0.32
10	26.21–27.89	2161–2233	2425–2529	4.7–10.5	0.4–0.7	0.28–0.43	0.02–0.07	0.25–0.28	0.31–0.32