tailieunhanh - Reservoir Formation Damage Episode 1 Part 10

Tham khảo tài liệu 'reservoir formation damage episode 1 part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Single-Phase Formation Damage by Fines Migration and Clay Swelling 207 results in the pressure equation d K dp _ 3 J dx 1 dx J dt subject to the boundary conditions P Pin x 0 P Pout x L 10-126 10-127 10-128 Then the pressure obtained by solving Eqs. 10-126 through 10-128 is substituted into Eq. 10-124 to determine the volume flux. The preceding formulation of Eq. 10-119 or 120 applies to the overall system following Gruesbeck and Collins 1982 assumption that the particle concentrations in the plugging and nonplugging pathways are the same according to Eq. 10-113. When different concentrations are considered Eq. 10-120 should be applied separately for the plugging and nonplugging paths respectively as suggested by Ci van 1995 dap d d dx apup l-ap d p dt 10-129 - pppa dt 1 -c dev dt 10-130 subject to ơp 0 Gnp 0 0 x L t 0 Gp Gnp Vln 0 t 0 10-131 10-132 k is a particle exchange rate coefficient. A solution of Eqs. 10-129 through 132 along with the particle deposition rate equations Eqs. 10101 and 105 yields the particle volume fractions in the plugging and nonplugging flow paths. 208 Reservoir Formation Damage Model Considering the Clayey Formation Swelling and Indigeneous and External Particles Civan et al. 1989 and Ohen and Civan 1991 1993 considered the formation damage by clayey formation swelling and migration of externally injected and indigeneous particles. They assumed constant physical properties of the particles and the carrier fluid in the suspension. They also considered the effect of fluid acceleration during the narrowing of the flow passages by formation damage. Ohen and Civan 1993 classified the indigeneous particles that are exposed to solution in the pore space in two groups lump of total expansive swelling . total authigenic clay that is smectitic and lump of total nonexpansive nonswelling particles because of the difference of their rates of mobilization and sweepage from the pore surface. They considered that the particles in the flowing