Journal of
Petroleum and Gas Engineering

  • Abbreviation: J. Petroleum Gas Eng.
  • Language: English
  • ISSN: 2141-2677
  • DOI: 10.5897/JPGE
  • Start Year: 2010
  • Published Articles: 110

Full Length Research Paper

Prediction of sand production in gas and gas condensate wells

S. O. Isehunwa
  • S. O. Isehunwa
  • Department of Petroleum Engineering, University of Ibadan, Nigeria.
  • Google Scholar
T. F. Ogunkunle
  • T. F. Ogunkunle
  • Department of Petroleum Engineering, University of Ibadan, Nigeria.
  • Google Scholar
S. M. Onwuegbu
  • S. M. Onwuegbu
  • Department of Petroleum Engineering, University of Ibadan, Nigeria.
  • Google Scholar
O. O. Akinsete
  • O. O. Akinsete
  • Department of Petroleum Engineering, University of Ibadan, Nigeria.
  • Google Scholar


  •  Accepted: 15 May 2017
  •  Published: 30 June 2017

 ABSTRACT

Sand production is a major concern during petroleum exploitation from unconsolidated sandstone reservoirs. For efficient management, sanding predictive tools are necessary. While several models have been developed for sanding in oil reservoirs, gas and gas condensate reservoirs have received little attention because of the widespread belief that such reservoirs are not prone to sanding. This study utilized erosional failure mechanism concept to formulate a model for predicting the volume of sand produced from gas and gas condensate reservoirs. The model showed that sanding in weakly consolidated gas reservoirs is influenced by flow rate, fluid density and viscosity, density of sand, particle size and borehole radius.

Key words: Sand production, mathematical model, gas well, gas-condensate wells, cavity arch radius


 INTRODUCTION

Sand production and its impact on well productivity have been mostly associated with heavy oil reservoirs (Geilikman et al., 1994). However, increasing aggressive gas production from conventional reservoirs has led to sand production from gas reservoirs (Weingarten and Perkins, 1992). A necessary condition for sand production is breakdown or disaggregation of rock into pieces small enough to readily pass through perforations or screen openings (Papamichos and Malmanger, 1999). In many cases, breakdown of rock occurs gradually; a process referred to as strength degradation. Following the onset of strength degradation in the field, the reservoir rock needs to undergo further degradation before it breaks down into producible aggregates in response to production conditions (Ghalambor et al., 1989; Salama, 1998).  Therefore,   for   predicting   and  managing  sand production over the life of well, it is important to recognize and quantify the field-scale rock strength degradation and have it implemented into a suitable sand production quantification model (Vaziri et al., 2002). Sand production is also a natural consequence of fluid flow into a wellbore from the reservoir (Penberthy and Shaughnessy, 1992). The process may be divided into the following stages, the loss of mechanical integrity of the rocks surrounding an open hole or perforation (failure), separation of solid particles from the rocks due to hydrodynamic force (post-failure) and transportation of the particles to the surface by reservoir fluids (transport). An essential condition for sand production in weakly consolidated formations is therefore the failure of the rock surrounding the cavity (Tronvoll and Fjaer, 1994; Tronvoll and Halleck, 1994).
 
There is al arge number of sand production prediction models used in the industry (Morita et al., 1987a, 1989; Veeken et al., 1991). They range from cut-off criteria based on depth or geophysical parameters (Lantz and Ali, 1991), closed form analytical solutions of either stresses or plastic zone surrounding a borehole or perforation tunnel based on elastic and plasticity (Risnes et al., 1982), to numerical models (Morita et al., 1987b). Between these two extremes, the popular industry approach is the application of closed-form solutions to an open hole or perforation, combining the advantages of the two extreme approaches. Modeling of sand production from gas wells have received little attention, hence this study was derived to develop a geomechanical model for sand production when producing from gas and gas condensate reservoirs.


 THEORETICAL FRAMEWORK

Considering a loosely consolidated reservoir, sand production can be easily induced by erosion failure around the near wellbore region. A model can be developed by considering erosion failure mechanism as the primary mechanism causing sand production under some simplifying assumptions:
 
(1) Darcy’s law validly describes the fluid flow.
(2) Cavity is cylindrical and sand production will cause it to grow until equilibrium is attained.
(3) Sand particles are spherical and uniform.
(4) Particles are uniformly submerged in the moving fluid
(5) Fluid is Newtonian
(6) Particles produced from the formation settle down to the bottom.
 
Using the approach by Isehunwa and Olanrewaju (2010) for vertical oil wells and resolving the forces on a sand particle, we have: 
 
 
 
Application
 
Equation 4 was applied to 3 gas condensate wells in Field X in the Niger Delta and one gas well from Sawan Field, Pakistan. Production from Field X started in 1957 and peaked at 11MSTB/d in March 1974. The cumulative production as at 1.1995 was 52 MMstb oil, 308 Tscf gas (168 MMMscf non associated gas) and 20 MMbbl water. Table 1 shows the input parameters used.
 
 
The Sawan Field on the other hand is located in the Thar Desert Southeast of Pakistan. The sand is about 70 m thick and classed as sublith-arenites to lithic arenites, with a high content of partially altered basic volcanic fragments and pore-lining of pore filling iron chlorite cement. The reservoir sands are overlain by transgressive, siderite cemented, shaly silt to very fined grained chamosite sandstones. Initial reservoir pressure was 5389 psi, while temperature is 352°F. Gas gravity is estimated as 0.642 and water density at 56.44 lb/ft3. Sawan-3 was drilled between May and November, 2001 (McPhee and Enzendorfer, 2004).


 RESULTS AND DISCUSSION

Equation 1 is a simple analytical model which can be combined with Equations 2 and 3 to predict sand production is gas or gas condensate wells. It is similar to the model developed for sanding in oil wells by Isehunwa and Olanrewaju (2010) and it shows the effect of flow rate, gas viscosity, grain size, grain density and cavity height on sand production.
 
To obtain the radius of cavity and volume of sand produced, it is necessary to calculate the molecular weight of the condensate and estimate the gas equivalence of the condensate using Equations 6 and 7. The magnitude of sanding and volume should normally be an issue of concern. It is obvious from the results obtained that the flow rate has a large effect on the volume of sand produced when there is an erosion sand mechanism. This is due to the fact that high flow rate increases the velocity which in turn increases the volume of sand produced.
 
Figures 1, 2 and 3 show sand production with calibration, for each well, respectively, plotted with the actual sand produced (field data). The result of the model prediction for Field X with calibration, not only quantitatively agreed with the trend observed in the real field, but also reasonably matched with the actual field sand produced (in terms of amount and quantity of sand produced cumulatively). Like reported by Isehunwa and Olanrewaju   (2010),  it   was   observed   that   each  well required a calibration factor (k) in order to obtain good match between field trends and the pure geomechanical model. The calibration factors have been accounted for in Equation 3 and the values shown in Table 2 for the four wells considered. Figures 1, 2 and 3 also show that sand is produced at flow rates as low as 2500MMSCF/D. This indicates  that   the   reservoirs   are  low-strength,  poorly cemented and unconsolidated. Similarly for the Sawan-3 well, Figure 4 shows sand production with calibration, plotted with the actual sand produced (field data). The calibration factor has been shown in Table 2. Figure 4 shows that sand is produced at flow rates as high as 27000MSCF/D. This indicates that the reservoir is weak but consolidated.
 
 


 CONCLUSION

A simple analytical model has been developed for predicting sand production in gas and gas condensate wells. The model shows that sand production is affected by flow rate, fluid viscosity, acceleration due to gravity, cavity height, density of sand, particle size, production rate, cavity and borehole radius. The study suggests that high production rates of up to 10000 MSCF/day and above could lead to cavity heights between 30 and 60 ft. High production rates in gas condensate wells lead to increase in cavity arch radius and subsequently sand production. 


 CONFLICT OF INTERESTS

The authors have not declared any conflict of interests.



 REFERENCES

Geilikman MB, Dusseault MB, Dullien F. A (1994). Fluid production enhancement by exploiting sand production. SPE 27820, Proc. SPE/DOE 9th a Symposium on Improved Oil Recovery, Tulsa, OK.
Crossref

 

Ghalambor A, Hayatdavoudi A, Alcocer CF, Koliba RJ (1989). Predicting Sand Production in U.S. Gulf Coast Gas Wells Producing Free Water. J. Pet. Technol. 41(12):1-336.
Crossref

 

Isehunwa SO, Falade GK (2007). Improved Characterization of Heptane-plus Fractions of Light-Crude Oils. SPE paper 111918 presented at the 31st Annual Technical Confertence and Exhibition, Abuja.

 

Isehunwa SO, Olanrewaju O (2010). A Simple Analytical Model for Predicting Sand Production in a Niger Delta Oil Field. Int. J. Eng. Sci. Technol. 2(9):4379-4387.

 

Lantz JR, Ali N (1991). Development of a mature giant offshore oil field. J. Pet. Technol. 43(04):392-454.
Crossref

 

McPhee CA, Enzendorfer CK (2004). Sand Management Solutions for High-Rate Gas Wells, Sawan Field, Pakistan, SPE 86535. In: proceedings of SPE Int. Symp. Exh. on Formation Damage, Lafayette, Louisiana, USA 18-20 February.

 

Morita N, Whitfill DL, Massie I, Knudsen TW (1987a). Realistic study of sand production prediction – numerical approach. SPE 16989. In Proc. of the 1987 Ann. Tech. Conf. & Exhib. Dallas, Sept. 27-30.

 

Morita N, Whitfill DL, Fedde OP, Løvik TH (1987b). Realistic Sand Production Prediction: Analytical Approach. Paper SPE 16990, 62nd Annual Technical Conference and Exhibition of the Society of Petroleum Engineers Proc., Dallas, Texas.

 

Morita N, Withfill DL, Fedde OP, Levik TH (1989). Parametric Study of Sand Production Prediction: Analytical Approach. Soc. Pet. Eng. J. Prod. Eng. 4(01):25-33.
Crossref

 

Papamichos E, Malmanger EM (1999). A Sand Erosion Model for Volumetric Sand Predictions in a North Sea Reservoir. paper Soc. Pet. Eng. J. 54007.
Crossref

 

Penberthy WL, Shaughnessy CM (1992). Sand Control. Soc. Pet. Eng. J. Series on Special Topics, Volume 1.

 

Risnes R, Bratli RK, Horsrud P (1982). Sand stresses around a wellbore. Soc. Pet. Eng. J. 22(06):883-898.
Crossref

 

Salama MM (1998). Sand Production Management; OTC 8900, Houston, 4-7.

 

Tronvoll J, Fjaer E (1994). Experimental study of sand production from perforation cavities. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 31:393-410.
Crossref

 

Tronvoll J, Halleck P (1994). The effect of perforation damage on sand production in a weak sandstone. SPE/ISRM 28071, in Proc. EUROCK '94, Delft, NL, 29-31.

 

Vardoulakis I (2006). Sand Production and Sand Internal Erosion: Continuum Modeling." Alert school: Geomechanical and Structural Issues in Energy Production. Veeken CAM, Davies DR, Kenter CJ, Kooijman AP (1991). Sand production prediction review, Developing an intergrated approach". SPE 22792. In Proc. of the 66th Annual Technical Conference and Exhibition, Oct. 6-9.

 

Vaziri H, Xiao Y, Palmer I (2002). Assessment of several sand prediction models with particular reference to HPHT wells". SPE/ISRM 78235, Irvine.
Crossref

 

Weingarten JS, Perkins TK (1992). Prediction of sand Production in Gas wells: Methods and Gulf of Mexico case Studies": SPE Paper 24797 presented at the 67th Annual Technical Conference and Exhibition, Washington, D.C.

 


 APPENDIX

For a weak reservoir, sand production can be easily induced by erosion failure around the near wellbore region. The premise that the primary mechanism of sand production is caused by erosion failure mechanism is as a result of the drag force exceeding the cohesive strength of the formation material. The effects of wellbore storage, well configuration and completion, interaction of disaggregated solids and flowing fluid, and other complications were neglected.
 
Using the Geomechanical approach proposed by Vardoulakis (2006) and adapted by Isehunwa and Olanrewaju (2010), we have Buoyancy force given as:
 
 




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