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

q_t(\mathbf{r}k(t) = q_w + q_o + q_g = B_w \, q_{W,k}(t) + (B_o - R_v \, B_g) \, q_{O,k}(t) + (B_g - R_s \, B_o) \, q_{G,k}(t)

B_w = B_w(p), \ B_o = B_o(p), \ B_g = B_g(p)

\phi(\mathbf{r}, \ p) = \phi_0(\mathbf{r}) \exp \left[ - \int_{p_i}^p c_r(p) \, dp \right]

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

c_t(s,p, 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(p) 

с_w(p, T), \ с_o(p, T), \ с_g(p, T) 

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

M_w(s,p, T) = k_a \cdot M_{rw}(s,p, T)

M_o(s,p, T) = k_a \cdot M_{ro}(s,p, T)

M_g(s,p, T) = k_a \cdot M_{rg}(s,p, T)

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

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

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

k_a(\mathbf{r}, \ p, \ \nabla p)  = k_a^{\circ} (\mathbf{r}) \cdot k_p (p, \ \nabla p)

k_a^{\circ} (\mathbf{r})

k_p(p, \ \nabla p)

\mu_w(p, T), \ \mu_o(p, T), \ \mu_g(p, T)

R_{sn}(p, T) = \frac{R_s B_g}{B_o} \ , \quad R_{vn}(p, T) = \frac{R_v B_o}{B_g}

R_{sp}(p, T) = \frac{\dot R_s B_g}{B_o} \ , \quad R_{vp}(p, T) = \frac{\dot R_v B_o}{B_g}

\rho(p, T) = \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}