Permeability data for natural and experimental products of magma that have been reported by several studies are reanalyzed on the basis of percolation theory. I use a power-law relationship between gas permeability
k and porosity φ with a critical porosity φ
c and a critical exponent
e in the form,
k ∝ (φ-φ
c)
e, after reviewing some dependences of φ
c and
e on characteristics of porous media. As a result, the
k-φ data of silicic magmas from non-explosive eruptions are found in a whole region containing two models of continuum percolation: Swiss-cheese model (φ
c ∼ 0%,
e ∼ 4.5) and inverted Swiss-cheese model (φ
c ∼ 30%,
e ∼ 2), and no data clearly denotes φ
c much higher than 30%. I also point out that it is necessary to consider careful textural characteristics of porous samples in analyzing the
k-φ data in order to assess the process of formation of the texture adequately. Important textural characteristics are i) cross-sectional area of gas channel used for normalizing
k because of estimating appropriate values of φ
c and
e, ii) elongation of pore and alignment of the direction, and iii) sample scale defined as a ratio of the sample length to a characteristic length of the major axes of elongated pores, because φ
c depends on the degree of the elongation, the alignment and the sample scale.
抄録全体を表示