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Density Porosity
Since the assiduity of a mixture of components is a analog function of the densities of its individual constituents, it is a simple matter to take aim the porousness of a porous rock. Fore this purpose it is multipurpose to consider the pouch volume model of a average formation with water-filled pore space ( foresee 1 ). [pic]

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|Figure 1 |


Unit volume of porous rock consists of a work out ? make up of water and a fraction (1 - ?) made up of solid rock matrix.
Thus the bulk density of the sample can be written as:
?b = ?ma (1 - ?) + ?f?
where ma refers to the matrix density and f refers to the fluid density. Simple rearrangement of the terms leads to an expression for porosity given by:
?D = (?ma - ?b) / (?ma - ?f)
The equivalent concept is illustrated graphically in Figure 2 , where b is plotted against porosity.



[pic]

|[pic] |
|Figure 2 |


Note that ranks falling on the line connecting the matrix point (?ma, ? = 0%) and the water point (?f, ? = 100%) represent all possible cases, extending from zero porosity rock matrix up to 100% porosity. Any mediocre value of ?b corresponds to some porosity ?.
Note that, rigorously speaking, porosity is a decimal fraction and that the assumption is made that ?b is equal to ?a, the tool reading. Density porosity, then, can be found either by using a ready reckoner or the chart ( Figure 3 ), [pic]

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