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download pdf version of PhD book - Universiteit Utrecht

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B. Pore connections in MDPN model<br />

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B. Connections in a Multi-Directional Pore Network<br />

(MDPN) model<br />

As it was mentioned in section 2.2, in a MDPN model a maximum <strong>of</strong> 26 pore<br />

throats may be connected to a pore body. As shown in Figure B.1, for a cubic<br />

pore body, three kinds <strong>of</strong> connections can be distinguished: (a) 8 connections<br />

to the corners (we refer to them as corner pore throats), (b) 12 connections to<br />

the edges (edge pore throats), and (c) 6 connections to the faces <strong>of</strong> the pore<br />

body (face pore throats). All these three types <strong>of</strong> connections are shown in<br />

Figure B.1d.<br />

Figure B.1: Different types <strong>of</strong> connections that pore throats can be<br />

connected to a pore body; which are: (a) 8 connections to the corners,<br />

(b) 12 connections to the edges, and (c) 8 connections to the faces <strong>of</strong><br />

pore body. The combination <strong>of</strong> all types <strong>of</strong> connections is also shown<br />

(d).<br />

Of course, many <strong>of</strong> these connection will be eliminated in order to obtain a<br />

desired coordination number distribution [Rao<strong>of</strong> and Hassanizadeh, 2009].<br />

When a pore body is invaded by the non-wetting phase, we assign 8 different<br />

pressures to its 8 corner elements. So, in order to be able to calculate the<br />

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