मिट्टी तीन परतों से बनी है, जिनमें से प्रत्येक की ऊँचाई 'h' मीटर है। परतों की पारगम्यता क्रमशः k, 2k और k है। ऊर्ध्वाधर दिशा में समतुल्य पारगम्यता क्या है?

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व्याख्या:

स्थिति 1: जब प्रवाह बेडिंग तल यानी क्षैतिज प्रवाह के साथ होता है 

F1 A.M Madhu 26.05.20 D59

समतुल्य पारगम्यता, \({{\rm{K}}_{{\rm{eq}}}} = \frac{{{{\rm{K}}_1}{{\rm{H}}_1} + {{\rm{K}}_2}{{\rm{H}}_2} + {{\rm{K}}_3}{{\rm{H}}_3}}}{{{{\rm{H}}_1} + {{\rm{H}}_2} + {{\rm{H}}_3}}}\)

स्थिति 2: जब प्रवाह बेडिंग तल यानी ऊर्ध्वाधर प्रवाह के लंबवत होता है

F1 A.M Madhu 26.05.20 D60

समतुल्य पारगम्यता, \({{\rm{K}}_{{\rm{eq}}}} = \frac{{{{\rm{H}}_1} + {{\rm{H}}_2} + {{\rm{H}}_3}}}{{\frac{{{{\rm{H}}_1}}}{{{{\rm{K}}_1}}} + \frac{{{{\rm{H}}_2}}}{{{{\rm{K}}_2}}} + \frac{{{{\rm{H}}_3}}}{{{{\rm{K}}_3}}}}}\)

दिए गए मामले में, हमारे पास निम्नलिखित गुणों वाली तीन परतें हैं:

पहली परत:h1=h, h_1 = h k1=k k_1 = k

दूसरी परत:h2=h h_2 = h , k2=2k k_2 = 2k

तीसरी परत:h3=h, h_3 = h k3=k k_3 = k

समतुल्य पारगम्यता, \({{\rm{K}}_{{\rm{eq}}}} = \frac{{{{\rm{H}}_1} + {{\rm{H}}_2} + {{\rm{H}}_3}}}{{\frac{{{{\rm{H}}_1}}}{{{{\rm{K}}_1}}} + \frac{{{{\rm{H}}_2}}}{{{{\rm{K}}_2}}} + \frac{{{{\rm{H}}_3}}}{{{{\rm{K}}_3}}}}}\)

\({{\rm{K}}_{{\rm{eq}}}} = \frac{{{h} + {{h}} + {{\rm{h}}}}}{{\frac{{{{\rm{h}}}}}{{{{\rm{k}}}}} + \frac{{{{\rm{h}}}}}{{{{\rm{2k}}}}} + \frac{{{{\rm{h}}}}}{{{{\rm{k}}}}}}}\)

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