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2.21 某办公楼工程地质勘探中取原状土做试验。用天平称50cm3湿土质量为95.15g,烘干后质量为75.05g,土粒比重为2.67。计算此土样的天然密度、干密度、饱和密度、天然含水率、孔隙比、孔隙率以及饱和度。
【解】m = 95.15g,ms = 75.05g,mw = 95.15 - 75.05 = 20.1g,V = 50.0 cm3
,ds = 2.67。
V s = 75.05/(2.671.0) = 28.1 cm3 取g = 10 m/s2,则V w = 20.1 cm3 V v = 50.0 - 28.1 = 21.9 cm3
V a = 50.0 – 28.1 – 20.1 = 1.8 cm3 于是,
 = m / V = 95.15 / 50 = 1.903g/ cm3 d = ms / V = 75.05 / 50 = 1.501g/ cm3
sat = (ms + w  V v)/ V = (75.05 + 1.0  21.9) / 50 = 1.939g/ cm3 w = mw / ms = 20.1 / 75.05 = 0.268 = 26.8% e = V v / V s = 21.9 / 28.1 = 0.779
n = V v / V = 21.9 / 50 = 0.438 = 43.8% S r = V w / Vv = 20.1 / 21.9 = 0.918
2.22 一厂房地基表层为杂填土,厚1.2m,第二层为粘性土,厚5m,地下水位深1.8m。在粘性土中部取土样做试验,测得天然密度 = 1.84g/ cm3,土粒比重为2.75。计算此土样的天然含水率w、干密度d、孔隙比e和孔隙率n。
【解】依题意知,S r = 1.0,sat =  = 1.84g/ cm3。
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