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MATERIAL BALANCE
EQUATIONS
Eng/ Mohamed Hamed Yassin
Email: Mohamed.H.Yassin@Hotmail.com
AGENDA
Types of Reservoirs and Driving Mechanisms
Calculations of Material Balance Equations
MBAL Software Applications
Types of Reservoir
Fluids
Gas Reservoirs
Without
Bottom-Water Drive
With
Bottom-Water Drive
Oil Reservoirs Water Reservoirs
Oil Reservoirs
Saturated
P <= Pb
Solution Gas
Drive
Gas-Cap
Drive
Bottom-Water
Drive
Combination
Drive
Undersaturated
P > Pb
Without
Bottom-Water Drive
With
Bottom-Water Drive
CALCULATION OF ORIGINAL
HYDROCARBON IN PLACE (HIIP)
Volumetric Method
Material Balance Equations (MBEs)
Decline Curve Analysis
CALCULATION OF HIIP
(VOLUMETRIC METHOD)
)1(. wiSBVN  
)1()( wiSAh  
oi
wiSAh


615.5
)1(43560 

oi
wiSAh
N

 )1(7758 

gi
wiSAh
G

 )1(7758 

STB
SCF
SCFBblg
STBbblo
acresA:
fth:
fractionsSwi :,
    gasfreeBwWBNNGBNB wpeopgioi 
    
   gig
gi
oi
gssioio
wpegspop
BB
B
mB
BrrBB
BwWBrRBN
N



  ppspsi RNrNNNrGgasfree 
       gppspsiwpeopoioi BRNrNNNrGBwWBNNmNBNB 
(N-Np)Bo
free gas
PPi
oi
gi
NB
GB
m 
CALCULATION OF OOIP BY MBE
(SATURATED RES)
Pi
giGB
oiNB
We
(We-WpBw)
CALCULATION OF OOIP BY MBE
(SATURATED RES)
        egig
gi
oi
gssioiowpgspop
WBB
B
mB
NBrrBBNBwBrRBN 






eg
gi
oi
o WE
B
mB
ENF 






g
gi
oi
o
e
g
gi
oi
o E
B
mB
E
W
N
E
B
mB
E
F




This equation includes 3 unknown (We, m & N)
Re-arrange this equation as a straight line equation
If We is assumed to be known and m is calculated
by geological data , N can be obtained
g
gi
oi
o E
B
mB
E
F

g
gi
oi
o
e
E
B
mB
E
W

o
45
N
CALCULATION OF OOIP BY MBE
(UNDERSATURATED RES)
By Considering the Cw and Cf
pCB
BN
N
eoi
op


Use MBE as a straight line as follows:
PCNBBN eoiop 
oNEF 
op BNF 
N
PCBE eoio 

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Material Balance Equation Presentation

  • 1. MATERIAL BALANCE EQUATIONS Eng/ Mohamed Hamed Yassin Email: Mohamed.H.Yassin@Hotmail.com
  • 2. AGENDA Types of Reservoirs and Driving Mechanisms Calculations of Material Balance Equations MBAL Software Applications
  • 3. Types of Reservoir Fluids Gas Reservoirs Without Bottom-Water Drive With Bottom-Water Drive Oil Reservoirs Water Reservoirs
  • 4. Oil Reservoirs Saturated P <= Pb Solution Gas Drive Gas-Cap Drive Bottom-Water Drive Combination Drive Undersaturated P > Pb Without Bottom-Water Drive With Bottom-Water Drive
  • 5. CALCULATION OF ORIGINAL HYDROCARBON IN PLACE (HIIP) Volumetric Method Material Balance Equations (MBEs) Decline Curve Analysis
  • 6. CALCULATION OF HIIP (VOLUMETRIC METHOD) )1(. wiSBVN   )1()( wiSAh   oi wiSAh   615.5 )1(43560   oi wiSAh N   )1(7758   gi wiSAh G   )1(7758   STB SCF SCFBblg STBbblo acresA: fth: fractionsSwi :,
  • 7.     gasfreeBwWBNNGBNB wpeopgioi          gig gi oi gssioio wpegspop BB B mB BrrBB BwWBrRBN N      ppspsi RNrNNNrGgasfree         gppspsiwpeopoioi BRNrNNNrGBwWBNNmNBNB  (N-Np)Bo free gas PPi oi gi NB GB m  CALCULATION OF OOIP BY MBE (SATURATED RES) Pi giGB oiNB We (We-WpBw)
  • 8. CALCULATION OF OOIP BY MBE (SATURATED RES)         egig gi oi gssioiowpgspop WBB B mB NBrrBBNBwBrRBN        eg gi oi o WE B mB ENF        g gi oi o e g gi oi o E B mB E W N E B mB E F     This equation includes 3 unknown (We, m & N) Re-arrange this equation as a straight line equation If We is assumed to be known and m is calculated by geological data , N can be obtained g gi oi o E B mB E F  g gi oi o e E B mB E W  o 45 N
  • 9. CALCULATION OF OOIP BY MBE (UNDERSATURATED RES) By Considering the Cw and Cf pCB BN N eoi op   Use MBE as a straight line as follows: PCNBBN eoiop  oNEF  op BNF  N PCBE eoio 