Page History

p = \frac{1}{3} \cdot \left( p_w + p_o + p_g \right)

q_t(\mathbf{r}) = q_w + q_o + q_g = B_w \, q_W + (B_o - R_s \, B_g) \, q_O + (B_g - R_v \, B_o) \, q_G

B_w, \ B_o, \ B_g 

\phi(\mathbf{r})

s(\mathbf{r}) = \{ s_w(\mathbf{r}), \ s_o(\mathbf{r}), \ s_g(\mathbf{r})  \}

c_t = c_r + c_w s_w +  c_o s_o +  c_g s_g  + s_o [ R_{sp} + (c_r  + c_o)  R_{sn} ] + s_g [ R_{vp} + R_{vn}(c_r + c_g) ]

с_r

с_w, \ с_o, \ с_g

M = M_w + M_o \big( 1 + R_{sn} \big) + M_g \big( 1 + R_{vn} \big)

M_w = k_a \cdot M_{rw}

M_o = k_a \cdot M_{ro}

M_g = k_a \cdot M_{rg}

M_{rw} = \frac{k_{rw}(s)}{\mu_w}

M_{ro} = \frac{k_{ro}(s)}{\mu_o}

M_{rg} = \frac{k_{rg}(s)}{\mu_g}

k_a(\mathbf{r})

\mu_w, \ \mu_o, \ \mu_g

R_{sn} = \frac{R_s B_g}{B_o} \ , \quad R_{vn} = \frac{R_v B_o}{B_g}

R_{sp} = \frac{\dot R_s B_g}{B_o} \ , \quad R_{vp} = \frac{\dot R_v B_o}{B_g}

\rho = \frac{ M_{rw} \rho_w + M_{ro}  (1 + R_{sn}) \rho_o  + M_{rg}  (1+R_{vn}) \rho_g }{ M_{rw}  + M_{ro}  (1 + R_{sn})  + M_{rg}  (1+R_{vn}) }

g = 9.81 \ \textrm{m} / \textrm{s}^2

 \big (   \big)^{\LARGE \cdot} = \frac{d}{dp}