Well Test Analysis for Multilayered Reservoirs with Formation Crossflow

Nomenclature

A matrix defined by Eq. (D.29)

A(σ) arbitrary function, Chapter 9

a constants in Eq. (A.7)

a_j constants in Eq. (3.13)

a_si stable value for a_i(t_D), Eq. (5.18); constant defined in Eq. (D.26)

B formation volume factor, RB/STB

b length of linear reservoir, ft (m); constants in Eq. (A.7)

b′ intercept, Eq. (7.13)

b₁, b₂ intercept of semilog straight line, Chapter 9

b_i constant in Eq. (3.35)

C wellbore storage, m³/MPa

C_D dimensionless wellbore storage

c compressibility of the fluid, psi⁻¹ (MPa⁻¹)

c_t system total compressibility, psi⁻¹ (MPa⁻¹)

D(σ) arbitrary function, Chapter 9

D_i constant defined by Eq. (3.36); constant defined by Eq. (5.21); eigenvector defined in Eq. (A.2)

d_e weighted average dimensionless diffusivity

de effective ...