The name is absent

Chapter 3

Here EAf]_w = K„fe=O)+M„,(_g = O)+M„,„(g = O)          [3.22]

Eq. [3.21] can be rewritten as:

^R = *e_mul^Re_mul ^{+ K}_Oü^RoU + ^water^Rwater                                    [³²³]

Here к is signal attenuation fraction of each phase.

, -M_oil(g = 0) -M_emul(g = 0) _M_water(g = Q)
'^0il [∑^]_g=o ’ ^emul [∑>]_g=o ’ ^water [∑>]_g=o

Λ4(fe, g=0) in Eq. [3.22] is associated to the T₂ distribution of each phase. ⅛ is
echo spacing time, which is 2τ for basic PGSE sequence or T+2τ for stimulated
spin-echo PGSE sequence.

If T₂ distribution peaks for oil, emulsified water and bulk water are completely
separate, M (t_E, g=0) can be expressed as:

M.„(g = 0)=M⅛_aH⅛∑x_l exp(-⅛                        [3.25]

i                              i

M.,Jg = 0) = M⅛_-∑, exp(-⅛                         [3.26]

∣                  11,i

M^,_r(g = 0) = M‰∑>, exp(-⅛                        [3.27]

i                  11,i

HI is hydrogen index of fluid, which is 1 for water. Φ is component fraction of
oil, emulsified water or bulk water, x_l is normalized fraction of component with
relaxation time T₂,_i in T₂ distribution peak of oil, emulsified water or bulk water.

Ж=т₂,,.)                                             _n9ftl

Yf_l(T₂=T_2j)                                                  ^{1 j}
so

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